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Math Busters Reproducible Worksheets

Reproducible Worksheets for:

Division and Multiplication

These worksheets are reproducible for educational use only and are not for resale. © 2008 Enslow Publishers, Inc.

Math

BustersMath

Busters

MB Worksheets Mult-DivFinal.qxd 11/8/2007 11:47 AM

2

Math Busters Reproducible Worksheets

Reproducible Worksheets for:

Division and Multiplication

These worksheets practice math concepts explained in DDiivviissiioonn aanndd MMuullttiipplliiccaattiioonn(ISBN: 978-0-7660-2876-0), written by RReebbeeccccaa WWiinnggaarrdd--NNeellssoonn..

MMaatthh BBuusstteerrss DDiivviissiioonn aanndd MMuullttiipplliiccaattiioonn reproducible worksheets are designed to help teachers, parents, and tutors use the books from the Math Busters series in theclassroom and the home. The answers to the problems are contained in the Answerssection starting on page 59.

Teachers, librarians, tutors, and parents are granted permission and encouraged tomake photocopies of these worksheets.

These worksheets are reproducible for educational use only and are not for resale. © 2008 Enslow Publishers, Inc.

Visit www.enslow.com and search for the MMaatthh BBuusstteerrss series to downloadworksheets for the following titles:

AAllggeebbrraa aanndd PPrree--AAllggeebbrraa FFiigguurriinngg OOuutt GGeeoommeettrryy978-0-7660-2879-1 978-0-7660-2880-7

DDeecciimmaallss aanndd FFrraaccttiioonnss RRaattiiooss aanndd PPeerrcceennttss978-0-7660-2877-7 978-0-7660-2878-4

DDiivviissiioonn aanndd MMuullttiipplliiccaattiioonn SSuubbttrraaccttiioonn aanndd AAddddiittiioonn978-0-7660-2876-0 978-0-7660-2875-3

Titles in this series can be purchased directly from:

Enslow Publishers, Inc.40 Industrial Road, Box 398Berkeley Heights, NJ 07922-0398 Phone: 1-800-398-2504email: [email protected]

Web Page: http://www.enslow.com

MB Worksheets Mult-DivFinal.qxd 11/8/2007 11:47 AM

Multiplication Power

Complete the following.

a. 5 + 5 + 5 + 5 + 5 = ____ b. 5 � 5 = _____

c. 4 + 4 + 4 + 4 + 4 + 4 = _____ d. 6 � 4 = _____

e. 3 + 3 + 3 + 3 + 3 = _____ f. 5 � 3 = _____

g. 8 + 8 + 8 = _____ h. 3 � 8 = _____

Write a multiplication sentence for each addition sentence.

i. 7 + 7 + 7 = 21 j. 9 + 9 + 9 + 9 + 9 + 9 = 54

____ � ____ = ____ ____ � ____ = ____

k. 6 + 6 = 12 l. 1 + 1 + 1 + 1 + 1 = 5

____ � ____ = ____ ____ � ____ = ____

3

Name __________________________________ Date ___________________

© Enslow Publishers, Inc. Sheets are reproducible for educational use only.

MB Worksheets Mult-DivFinal1.qxd 9/7/2007 12:35 AM

Multiplication Power Write an addition and a multiplication sentence for the pictures.

a. ____ + ____ + ____ + ____ + ____ = ____

b. ____ x ____ = ____

Write a multiplication sentence for each picture.

Example: There are 6 dots in each row. There are 2 rows.6 x 2 = 12

c. ___ x ___ = ___ d. ___ x ___ = ___ e. ___ x ___ = ___

Show two ways to solve this problem.

f. Kaylee's mother bought 4 bags of bagels. There were 5 bagels in each bag. How many bagels did Kaylee's mother buy in all?

Name __________________________________ Date ___________________

4



Multiplication FactsFind each product.

a. 7 b. 6 c. 5 d. 2� 2 � 3 � 4 � 4

e. 3 f. 10 g. 9 h. 7� 4 � 4 � 2 � 4

i. 10 j. 7 k. 8 l. 3� 2 � 8 � 2 � 3

m. 4 n. 5 o. 9 p. 6� 4 � 9 � 7 � 5

q. 4 � 4 = 16, so 4 � 5 = _____

r. 7 � 5 = 35, so 7 � 6 = _____

s. 8 � 3 = 24, so 8 � 4 = _____

t. 8 � 8 = 64, so 8 � 9 = _____

5

Name __________________________________ Date ___________________



Multiplication Facts

a. Fill in the missing numbers in the multiplication table.

Use the multiplication table to find each product.

b. 7 � 8 = ______ c. 8 � 8 = ______ d. 6 � 5 = ______

e. 9 � 6 = ______ f. 9 � 7 = ______ g. 3 � 8 = ______

h. 6 � 8 = ______ i. 10 � 10 = ______ j. 4 � 9 = ______

k. 3 � 7 = ______ l. 9 � 8 = ______ m. 10 � 4 = ______

Name __________________________________ Date ___________________

6


0 1 2 3 4 5 6 7 8 9 10

0 0 0 0 0 0 0 0 0 0 0 0

1 0 1 2 3 4 6 7 8 9 10

2 0 2 8 10 16 18 20

3 0 3 6 9 12 18 21 27 30

4 0 4 12 24 28 32 36 40

5 0 5 10 15 20 30 35 40 50

6 0 6 18 24 36 42 48 54 60

7 0 7 14 21 28 35 49 56 63 70

8 0 8 24 32 40 48 56 64 72 80

9 0 9 18 27 36 45 54 63 72 90

10 0 40 50 60 70 80 90 100


Beyond Basic FactsMultiply.

Example: 22 � 3 Step 1: Multiply ones. 22 Step 2: Multiply tens. 22� 3 � 3

6 66

a. 24 b. 13 c. 22 d. 12� 2 � 3 � 2 � 3

e. 42 f. 12 g. 42 h. 34� 2 � 2 � 3 � 2

i. 32 j. 14 k. 41 l. 40� 3 � 2 � 3 � 2

Use multiplication to solve each problem.

m. A violin has 4 strings. How many strings do 12 violins have?

n. Kendra rode her bike 2 days and each day she rode 32 miles. How many miles did she ride in all?

o. There are 13 blue birds perched on a fence. How many feet are on the fence?

7

Name __________________________________ Date ___________________



Beyond Basic FactsMultiply.

a. 123 b. 311 c. 224 d. 412� 2 � 3 � 2 � 4

e. 332 f. 124 g. 101 h. 244� 3 � 2 � 5 � 2

i. 432 j. 112 k. 412 l. 334� 3 � 4 � 3 � 2


m. Dasha and Jarrod each sold 134 oranges. How many oranges did they sell in all?

n. There are 3 baskets with beads. Each basket has 123 beads in it. How many beads are there in all?

o. Dakota read 4 books that had 122 pages each. How many pages did she read in all?

Name __________________________________ Date ___________________

8



Regrouping: MultiplicationMultiply. Regroup as needed.

a. 26 b. 19 c. 26 d. 49� 3 � 2 � 4 � 2

e. 25 f. 28 g. 22 h. 45� 9 � 4 � 6 � 4

i. 36 j. 14 k. 18 l. 65� 2 � 8 � 3 � 5


m. Cadence has 37 baseball cards in her collection. Troy has twice as many as Cadence. How many cards does Troy have?

n. An African elephant can drink 45 gallons of water a day. At this rate, how many gallons will one elephant drink in two days?

o. Each of 26 students is making three paper links for a paper chain. How many links will be in their chain when it is finished?

9

Name __________________________________ Date ___________________



Regrouping: MultiplicationMultiply. Regroup as needed.

a. 459 b. 254 c. 234 d. 132� 2 � 3 � 4 � 6

e. 235 f. 133 g. 146 h. 168� 3 � 9 � 3 � 5

i. 128 j. 378 k. 154 l. 179� 8 � 2 � 3 � 7


m. Cassandra’s family is taking a two-day trip. They plan to drive 365 miles each day. How many miles will they have driven at the end of the two days?

n. There are 155 toothpicks in a box of toothpicks. How many toothpicks are in three boxes?

o. Mr. Huston has 4 sheets of stickers. There are 244 stickers on each sheet. How many stickers are there in all?

Name __________________________________ Date ___________________

10



Powers and Multiples of TenMultiply.

a. 7 � 1 = ______ b. 3 � 1 = ______ c. 5 � 1 = ______

7 � 10 = ______ 3 � 10 = ______ 5 � 10 = ______

7 � 100 = ______ 3 � 100 = ______ 5 � 100 = ______

7 � 1,000 = ______ 3 � 1,000 = ______ 5 � 1,000 = ______

d. 9 � 2 = ______ e. 4 � 4 = ______ f. 2 � 8 = ______

9 � 20 = ______ 4 � 40 = ______ 2 � 80 = ______

9 � 200 = ______ 4 � 400 = ______ 2 � 800 = ______

9 � 2,000 = ______ 4 � 4,000 = ______ 2 � 8,000 = ______

g. 5 � 4 = ______ h. 8 � 5 = ______ i. 6 � 5 = ______

5 � 40 = ______ 8 � 50 = ______ 6 � 50 = ______

5 � 400 = ______ 8 � 500 = ______ 6 � 500 = ______

5 � 4,000 = ______ 8 � 5,000 = ______ 6 � 5,000 = ______

j. 6 � 100 = ______ k. 4 � 1,000 = ______ l. 8 � 10 = ______

m. 7 � 90 = ______ n. 8 � 2,000 = ______ o. 6 � 70 = ______

p. 3 � 600 = ______ q. 5 � 300 = ______ r. 9 � 3,000 = ______

11

Name __________________________________ Date ___________________



Powers and Multiples of TenFind the missing numbers.

a. If 4 � 2 = 8, then 40 � 20 = ____ and 40 � 200 = ____.

b. If 7 � 3 = 21, then 70 � 30 = ____ and 70 � 300 = ____.

c. If 6 � 8 = 48, then 60 � 80 = ____ and 60 � 800 = ____.

d. If 5 � 4 = 20, then 50 � 40 = ____ and 50 � 400 = ____.

Multiply.

e. 70 � 20 = ______ f. 40 � 40= ______ g. 60 � 30 = ______

h. 20 � 400 = _____ i. 50 � 500= ______ j. 80 � 900 = ______


k. The surface temperature of our sun is around 10,000 degrees Fahrenheit. How hot is lightning if it is 3 times hotter than the surface of the sun?

l. A whale calf can weigh 2000 pounds. If a full-grown whale weighs 40 times more than the calf, how much does the grown whale weigh?

Name __________________________________ Date ___________________

12



Multiplying by Two-Digit NumbersMultiply.

a. 32 b. 74 c. 38 d. 60� 3 1 � 12 � 4 1 � 25

e. 24 f. 13 g. 27 h. 62� 1 2 � 23 � 32 � 43

i. 92 j. 24 k. 56 l. 39� 22 � 1 1 � 1 3 � 80


m. Ella’s car gets 14 miles per gallon of gasoline. How many miles can Ella's car go on 12 gallons of gasoline?

n. Cameron and his dad planted 45 soybean seeds per row. How many soybean seeds did they plant in 21 rows?

13

Name __________________________________ Date ___________________



Multiplying by Two-Digit NumbersMultiply.

a. 455 b. 122 c. 144 d. 234� 12 � 25 � 36 � 24

e. 218 f. 303 g. 614 h. 254� 86 � 34 � 27 � 15

i. 332 j. 155 k. 708 l. 942� 45 � 1 1 � 37 � 26


m. A theater has 176 rows of seats with 18 seats in each row. How many seats are in the theater in all?

n. Abigail's Girl Scout troop has 16 members. Their goal is to sell 150 boxes of cookies each. How many boxes of cookies do they hope to sell all together?

Name __________________________________ Date ___________________

14



Greater Number MultiplicationWrite each number in expanded notation.

a. 124 = ____ + ____ + ____

b. 365 = ________________

c. 697 = ________________

Fill in the missing numbers.

d. 432 = ____ + ____ + ____

432 � 2 = (___ � 2) + (___ � 2) + (___ � 2)

= (____) + (____) + (____)

432 � 2 = _____

e. 715 = ____ + ____ + ____

715 � 5 = (___ � 5) + (___ � 5) + (___ � 5)

= (____) + (____) + (____)

715 � 5 = _____

f. 869 = ____ + ____ + ____

869 � 3 = (___ � 3) + (___ � 3) + (___ � 3)

= (____) + (____) + (____)

869 � 3 = _____

15

Name __________________________________ Date ___________________



Greater Number MultiplicationMultiply.

a. 362 b. 414 c. 546 d. 285� 315 � 154 � 163 � 425

e. 274 f. 913 g. 232 h. 187� 612 � 236 � 429 � 235

Use a multiplication equation to solve each problem.

i. Angela spends 180 minutes on the computer each day. At this rate, how many minutes will she spend on the computer in 365 days?

j. 114 students raised $125 each for new playground equipment. How much money did they raise in all?

Name __________________________________ Date ___________________

16



Multiplication PropertiesTThhee ZZeerroo PPrroodduucctt PPrrooppeerrttyy:: Any number multiplied by zero is zero.

TThhee PPrrooppeerrttyy ooff OOnnee:: Any number multiplied by one is identical to theoriginal number.

Multiply using the zero product property and property of one.

a. 342 � 0 = ______ b. 342 � 1 = ______ c. 18 � 0 = ______

d. 1 � 18 = ______ e. 872 � 1 = ______ f. 97 � 0 = ______

g. 8,740 � 1 = ______ h. 163 � 0 = ______ i. 0 � 56 = ______

j. 642 k. 27 l. 415 m. 713� 1 � 1 � 0 � 1

n. 84 o. 8,256 p. 139 q. 860� 0 � 1 � 0 � 0

r. Mark has 87 bags of marbles. There are zero marbles in each bag. How many marbles does Mark have in all?

s. There are 1,024 crackers in each box of animal crackers. Margo has one box. How many animal crackers does she have in all?

17

Name __________________________________ Date ___________________



Multiplication PropertiesTThhee CCoommmmuuttaattiivvee PPrrooppeerrttyy:: Changing the order of the factors does not

change the product.

Multiply each set of numbers to test the commutative property.

a. 5 � 2 = ______ b. 7 � 1 = ______ c. 8 � 9 = ______

2 � 5 = ______ 1 � 7 = ______ 9 � 8 = ______

5 � 2 = 2 � ___ 7 � 1 = 1 � ___ 8 � 9 = 9 � ___

d. 32 1 1 e. 36 50� 1 1 � 32 � 50 � 36

TThhee AAssssoocciiaattiivvee PPrrooppeerrttyy:: Changing the grouping of the factors does not change the product.

Multiply each set of numbers to test the associative property.Multiply the numbers in parentheses first.

f. (5 � 2) � 16 = ______ g. (4 � 25) � 8 = ______

5 � (2 � 16) = ______ 4 � (25 � 8) = ______

Decide which two numbers to multiply first. Use mental math.

h. 4 � 5 � 7 = ______ i. 15 � 4 � 3 = ______

j. 25 � 2 � 90 = ______ k. 3 � 20 � 60 = ______

Name __________________________________ Date ___________________

18



The Distributive PropertyFill in the missing numbers.

a. 7 � 4 = 7 � (2 + ___)

= (7 � 2) + (7 � ___)

= (____) + (____)

= _____

b. 8 � 9 = 8 � (5 + ___)

= (8 � 5) + (8 � ___)

= (____) + (____)

= _____

c. 6 � 51 = 6 � (50 + ___)

= (6 � 50) + (6 � ___)

= (____) + (____)

= _____

d. 25 � 98 = 25 � (100 – ___)

= (25 � 100) – (25 � ___)

= (____) – (____)

= _____

19

Name __________________________________ Date ___________________



The Distributive PropertyFill in the missing numbers.

a. There are 32 rows of seedlings planted at a tree farm. There are 24 seedlings in each row. How many seedlings are there in all?

32 � 24 = 32 � (20 + 4)

= (32 � 20) + (32 � 4)

= (____) + (____)

= _____ seedings in all.

b. A parking lot has 22 rows for parking. There are 22 spaces in each row. How many parking spaces are there in all?

22 � 22 = 22 � (__ + __)

= (__ � __) + (__ � __)

= (____) + (____)

= ____________________

Use the distributive property and mental math to solve.

c. A marching band has 12 rows of band members with 14 in

each row. How many band members are in the marching band?

d. There are 39 rows of seats in the auditorium, with 25 seats in

each row. How many seats are there in all? (Hint: Use subtraction.)

Name __________________________________ Date ___________________

20



Division PowerFind the missing numbers.

21

Name __________________________________ Date ___________________


TToottaallNNuummbbeerr iinn EEaacchh

GGrroouuppNNuummbbeerr ooff GGrroouuppss

Example: 30 5 ________

14 7 a.

20 b. 4

24 6 c.

18 6 d.

21 e. 3

16 4 f.

15 g. 3

10 2 h.

28 4 i.

25 j. 5

18 9 k.

8 l. 4

6


Division PowerWrite a division sentence for each set of subtracton sentences.

Example:

15 - 5 = 10 a. 12 - 6 = 6 b. 9 - 3 = 6 c. 8 - 2 = 610 - 5 = 5 6 - 6 = 0 6 - 3 = 3 6 - 2 = 45 - 5 = 0 3 - 3 = 0 4 - 2 = 2

2 - 2 = 0___________ ___________ ___________ __________

Find each quotient.

d. 8 � 2 = ___ e. 9 � 9 = ___ f. 12 � 6 = ___

g. 18 � 9 = ___ h. 27 � 3 = ___ i. 32 � 8 = ___

j. 25 � 5 = ___ k. 20 � 10 = ___ l. 36 � 6 = ___

Draw a line to match the following terms.

m. The answer to a division problem. divisor

n. The number you are dividing by. dividend

o. The number you are dividing. quotient

Use a division equation to solve.

p. Butterfuly larvae are divided evenly between two science classes. If there are 16 larvae, how many will each class have?

Name __________________________________ Date ___________________

22


15 � 5 = 3


Multiplication and DivisionWrite the related facts for each equation.

Example:

a.

b.

c.

d.

23

Name __________________________________ Date ___________________


3 � 4 = 12 12 � 3 = 44 � 3 = 12 12 � 4 = 3

4 � 5 = 20

6 � 2 = 12

5 � 9 = 45

18 � 9 = 2


Multiplication and Division

Use the multiplication table to solve these division problems.

a. 8 � 2 = ___ b. 9 � 9 = ___ c. 12 � 6 = ___

d. 18 � 9 = ___ e. 27 � 3 = ___ f. 32 � 8 = ___

g. 81 � 9 = ___ h. 56 � 8 = ___ i. 24 � 3 = ___

j. 36 � 6 = ___ k. 27 � 9 = ___ l. 21 � 7 = ___

m. 42 � 7 = ___ n. 42 � 6 = ___ o. 72 � 8 = ___

p. 45 � 5 = ___ q. 80 � 8 = ___ r. 28 � 4 = ___

s. 60 � 10 = ___ t. 12 � 2 = ___ u. 20 � 5 = ___

v. 25 � 5 = ___ w. 20 � 10 = ___ x. 63 � 9 = ___

Name __________________________________ Date ___________________

24


00 11 22 33 44 55 66 77 88 99 1100

0 0 0 0 0 0 0 0 0 0 0 0

1 0 1 2 3 4 5 6 7 8 9 10

2 0 2 4 6 8 10 12 14 16 18 20

3 0 3 6 9 12 15 18 21 24 27 30

4 0 4 8 12 16 20 24 28 32 36 40

5 0 5 10 15 20 25 30 35 40 45 50

6 0 6 12 18 24 30 36 42 48 54 60

7 0 7 14 21 28 35 42 49 56 63 70

8 0 8 16 24 32 40 48 56 64 72 80

9 0 9 18 27 36 45 54 63 72 81 90

10 0 10 20 30 40 50 60 70 80 90 100


Division FactsFill in the missing numbers.

a. 64 � 8 = ______ b. 72 � 9 = ______ c. 48 � 6 = ______

8 � __ = 64 9 � ___ = 72 6 � ___ = 48

d. 28 � 7 = ______ e. 21 � 3 = ______ f. 54 � 6 = ______

7 � __ = 28 3 � ___ = 21 6 � ___ = 54

g. 42 � 6 = ______ h. 63 � 9 = ______ i. 24 � 3 = ______

6 � __ = 42 9 � ___ = 63 3 � ___ = 24

Circle the letter of sentence that is wrong.

j. a. If there are 5 dog treats and 1 dog, the dog gets 5 treats. 55 �� 11 == 55

b. If there are 5 dog treats and 5 dogs, each dog gets 1 treat. 55 �� 55 == 11

c. If there are 0 dog treats and 0 dogs, each dog gets 5 treats. 00 �� 00 == 55

d. If there are 0 dog treats and 5 dogs, each dog gets 0 treats. 00 �� 55 == 00

25

Name __________________________________ Date ___________________



Division FactsDivide.

a. 18 � 6 = ___ b. 50 � 5 = ___ c. 16 � 8 = ___

d. 63 � 7 = ___ e. 0 � 5 = ___ f. 80 � 10 = ___

g. 24 � 8 = ___ h. 40 � 5 = ___ i. 36 � 6 = ___

j. 0 � 6 = ___ k. 3 � 1 = ___ l. 48 � 12 = ___

m. 10 � 5 = ___ n. 121 � 11 = ___ o. 24 � 6 = ___

p. 55 � 5 = ___ q. 7 � 1 = ___ r. 60 � 5 = ___

s. 28 � 4 = ___ t. 144 � 12 = ___ u. 6 � 3 = ___

Use a division equation to solve each problem.

v. Sam sold a total of 20 magazines in 5 days. He sold exactly the same number each day. How many did he sell each day?

w. In gym class there are 8 basketballs and 8 students. How many basketballs will each student get if they are divided evenly?

Name __________________________________ Date ___________________

26



Remainders and DivisibilityDraw a picture to divide each number. Write the division equation.

Example: 13 � 5

13 � 5 = 2R3a. 17 � 5

b. 14 � 6

c. 10 � 3

d. 11 � 2

e. 19 � 4

f. Laura's mother made 18 pancakes to share evenly between 4 people. How many pancakes will each person get? _______ How many extra pancakes will there be? _______

27

Name __________________________________ Date ___________________



Remainders and Divisibility

Answer yes or no.

a. Is 342 divisible by 2? _____

divisible by 3? _____


b. Is 846 divisible by 2? _____



c. Is 1,250 divisible by 4? _____



d. Is 3,110 divisible by 3? _____




Solve each problem using division and remainders.

e. Jenny collected 28 eggs for her grandmother. An egg carton holds 12 eggs. How many cartons will Jenny be able to fill completely? ___________How many eggs will be left over? __________How many cartons will Jenny need to put all of the eggs in cartons? ____________

f. Mrs. Quan is having a formal dinner. The caterer has tables thatseat 6, or tables that seat 8. She does not want any empty seats. If 208 people are expected, which size tables should she order?______________ How many tables will she need? ___________

Name __________________________________ Date ___________________

28



Long DivisionDivide.

Example: 12 Remember: Divide, Multiply, Subtract, 8 �� 96�� Compare, Bring Down

- 816

- 160

a. 3 �� 51�� b. 2 �� 78�� c. 4 �� 96�� d. 3 �� 87��

e. 6 �� 84�� f. 7 �� 91�� g. 4 �� 56�� h. 5 �� 80��

i. 2 �� 64�� j. 2 �� 76�� k. 3 �� 39�� l. 7 �� 84��

m. 4 �� 68�� n. 5 �� 65�� o. 8 �� 88�� p. 6 �� 72��

q. Cindy needs to read 84 more pages to have her reading assignment completed in 4 days. How many pages will she need to read each day?

29

Name __________________________________ Date ___________________



Long DivisionDivide.

Example: 14R3 Remember: Divide, Multiply, Subtract, Compare, Bring Down.4 �� 59�� Write remainders using a small capital R- 4

19- 16

3

a. 7 �� 78�� b. 5 �� 52�� c. 3 �� 73�� d. 6 �� 95��

e. 3 �� 68�� f. 4 �� 51�� g. 2 �� 91�� h. 8 �� 92��

i. 3 �� 49�� j. 4 �� 97�� k. 5 �� 68�� l. 3 �� 61��

m. 6 �� 75�� n. 9 �� 95�� o. 2 �� 35�� p. 5 �� 87��

q. Steve picked 51 apples. With how many people canhe share if he gives each person 2 apples?_____ Will there be any apples left? _____If so, how many? _____

Name __________________________________ Date ___________________

30



Dividing by Greater NumbersDivide. Use multiplication to check your answers.

a. 18 ��1674�� check: 18 b. 72 ��1152�� check:

c. 70 ��1610�� check: d. 92 ��1196�� check:

e. 14 ��2800�� check: f. 20 ��8140�� check:

g. 86 ��1290�� check: h. 37 ��2479�� check:

31

Name __________________________________ Date ___________________


�


Dividing by Greater NumbersDivide. Use multiplication to check your answers.

a. 15 ��9960�� check: b. 49 ��2597�� check:

c. 59 ��4248�� check: d. 23��6003�� check:

e. 88 ��1144�� check: f. 73 ��3431�� check:

Use a division equation to solve.

g. If one cow produces 40 gallons of milk in one week,how many cows does it take to fill a 1,000-gallon refrigerated milk tank each week.

Name __________________________________ Date ___________________

32



Dividing and Multiples of Ten

Write the basic fact for each problem. Then solve.

Find each quotient.

g. 64 � 8 = _____ h. 640 � 80 = _____ i. 6,400 � 80 = ______

j. 81 � 9 = _____ k. 810 � 90 = _____ l. 8,100 � 900 = _____

m. 24 � 4 = _____ n. 240 � 40 = _____ o. 2,400 � 40 = ______

p. 21 � 3 = _____ q. 210 � 30 = _____ r. 2,100 � 300 = _____

33

Name __________________________________ Date ___________________


a. 250 � 5 = ____

BASIC FACT:

______________

b.160 � 4 = ____

BASIC FACT:

______________

c. 490 � 70 = ____

BASIC FACT:

______________

d. 360 � 90 = ____

BASIC FACT:

______________

e. 2,800 � 7 = ____

BASIC FACT:

______________

f. 2,400 � 80 = ____

BASIC FACT:

______________


Dividing and Multiples of TenUse mental math to divide.

a. 540 � 90 = _____ b. 16,000 � 400 = _____

c. 2,400 � 600 = _____ d. 4,800 � 800 = _____

e. 1,500 � 30 = _____ f. 45,000 � 500 = _____

g. 35,000 � 5,000 = _____ h. 630 � 90 = _____

i. 300 � 60 = _____ j. 1,600 � 80 = _____

k. 6,400 � 800 = _____ l. 4,000 � 20 = _____

Use mental division to solve.

m. Tara's dad earns $36,000 in 6 months. If he earns the same amount each month, how much does he earn in one month?

n. The Boy Scouts collected 200 items on their nature hike. If each of 10 Scouts collected the same number of items, how many did each collect?

Name __________________________________ Date ___________________

34



Estimation Power: Multiplication

Estimate by rounding each factor to the greatest place value.Remember: If the greatest place value is ones, leave it alone.

Example: 7 � 59 This means “is about equal to.”7 x 60 = 420, so 7 x 59 � 420.

a. 5 � 322 b. 61 � 48

c. 8 � 723 d. 197 � 68

e. 39 � 529 f. 4 � 94

Use greatest place value estimation and multiplication to solve.

g. West Elementary serves 483 lunches in one day. About how many lunches will they serve in 28 days?

h. The students in Ms. Cole's reading class earned 894 reading points in one week. About how many points will they earn if they do this every week for 18 weeks?

i. A local theater sold 624 tickets for $6 per ticket. About how much money did they collect on the sale of tickets?

35

Name __________________________________ Date ___________________



Estimation Power: Multiplication

Estimate by rounding each factor to the nearest ten.

Example: 49 � 6250 x 60 = 3,000, so 49 x 62 � 3,000.

a. 18 � 87 b. 42 � 48

c. 11 � 51 d. 37 � 42

e. 78 � 93 f. 56 � 56

Name __________________________________ Date ___________________

36


Estimate by roundingto the nearest tens.

Estimate by roundingto the greatest

place value.

Find the exactanswer.

g. 121 � 13 h. 121 � 13 i. 121 � 13

j. 37 � 248 k. 37 � 248 l. 37 � 248


Estimation Power: Division

Estimate by rounding each number to the greatest place value.

Example: 178 � 23 This means “is about equal to.”200 �� 20 = 10, so 178 �� 23 � 10.

a. 443 � 36 b. 582 � 17

c. 872 � 9 d. 619 � 34

e. 702 � 14 f. 425 � 76

Use greatest place value estimation and division to solve.

g. Martha has 386 tulip bulbs. She wants to plant 18 tulips ineach row. About how many rows of tulips can she plant?

h. Sandy's volleyball team collected $792 by selling season tickets for their games. About how many people purchased season tickets if they bought them for $18 each?

i. A single beehive can produce 110 pounds of honey in 12 months. About how many pounds can it produce per month?

37

Name __________________________________ Date ___________________



Estimation Power: Division

Use compatible numbers to estimate.

Example 1470 � 121440 �� 12 = 120, so 1470 � 12 � 120

a. 157 � 31 b. 251 � 25

c. 647 � 81 d. 354 � 6

e. 323 � 11 f. 95 � 34

Name __________________________________ Date ___________________

38


Estimate using compatible numbers.

Estimate by roundingto the tens place.

Find the exactanswer.

g. 426 � 71 h. 426 � 71 i. 426 � 71

j. 156 � 18 k. 156 � 18 l. 156 � 18


Word Problem Power: Multiplication

a. There are about 5,000 kinds of dragonflies. There are 4 times as many kinds of grasshoppers as there are kinds of dragonflies.How many kinds of grasshoppers are there?

b. When some beetles jump, they spin 70 times in one second. How many times can they spin in 5 seconds?

c. If 12 ladybugs have 22 spots each, how many spots will they have all together?

d. Dragonflies can fly up to 35 miles an hour. At this rate, how many miles can a dragonfly travel in 6 hours?

e. A type of locust comes out of the ground to be seen onlyonce every 17 years. How many years will it take for them to be seen 5 times?

39

Name __________________________________ Date ___________________



Word Problem Power: Multiplication

a. If one beehive has about 60,000 bees, how many bees are in 6 beehives?

b. A queen bee can lay one egg every 58 seconds. How many seconds will it take for her to lay 12 eggs?

c. A honeybee has 7,000 tiny eyes in each of its two big eyes. How many tiny eyes does a honeybee have in all?

d. To produce 1 ounce of honey, bees will fly about 350 miles. How many miles will bees need to fly to make 16 ounces of honey?

e. At a market, honey sells for $7 per pound. How much will you need to pay for 5 pounds of honey?

f. A beehive sells for $68. How much will you pay if you are buying 12 beehives?

Name __________________________________ Date ___________________

40



Word Problem Power: Division

a. A penguin can hold its breath for 18 minutes. If a penguin has spent 216 minutes under water, how many times did it need to come up for air?

b. Some penguins can swim 25 miles an hour. At this rate, how many hours will it take for a penguin to swim 75 miles?

c. A cockroach can swim underwater for 40 minutes. If a cockroach spent 320 minutes in the water, how many times did it need to come up for air?

d. If an ostrich ran 80 miles in 2 hours, how many miles did it run each hour?

e. If 4 ostriches weigh 1,140 pounds, what is the average weight of one ostrich?

41

Name __________________________________ Date ___________________



Word Problem Power: Division

a. If a cricket rubs its wings together 2,400 times in 60 seconds, how many times each second do they rub their wings together?

b. A bat catches 960 insects in 60 minutes. How many insects did it catch per minute?

c. A parade of caterpillars has a total of 240 legs. Each caterpillar has 30 legs. How many caterpillars are in the parade?

d. There is a parade of 5 centipedes and each has the same number of legs. They have a total of 1,750 legs. How many legs does each centipede have?

e. A pack of wolves travels a combined distance of 576 miles in one night. There are 6 wolves in the pack. Each traveled the same distance. How far did each travel?

f. The 5th grade is going to the zoo. A bus will seat 22 students. There are 107 students. How many buses are needed?

Name __________________________________ Date ___________________

42



Multiplying with DecimalsMultiply.

Example: Multiply 2.3 � 2.

Step 1: Multiply as Step 2: Count the decimal Step 3: Place the a whole number. places. decimal point.

2.3 2.3 1 2.3� 2 � 2 0 � 246 46 4.6

a. 4.2 b. 3.3 c. 7.4 d. 9.1� 6 � 2 � 3 � 5

e. 8.5 f. 2.5 g. 5.1 h. 6.7� 4 � 7 � 9 � 8

i. 3.12 j. 23.5 k. 2.24 l. 12.2� 4 � 3 � 2 � 7

m. 2.14 n. 14.6 o. 3.32 p. 14.1� 5 � 2 � 4 � 3

43

Name __________________________________ Date ___________________


1


Multiplying with DecimalsMultiply.

a. 25.4 b. 3.2 1 c. 28.5 d. 18.3� 3.4 � 2.3 � 4.2 � 1.7

e. 62.2 f. 81.6 g. 20.02 h. 2.24� 0.51 � 0.3 � 4.4 � 2

i. Saul and John are on the track team. Saul ran 2.5 miles. John ran 1.5 times farther than Saul. How many miles did John run?

j. Sandra's mother is making costumes for a class play. She needs 18.5 yards of a fabric, which costs $3.50 a yard. How much will the fabric cost?

Name __________________________________ Date ___________________

44



Dividing a DecimalDivide.

Example: 8 �� 9.6��

Step 1: Put the decimal point 8 �� 9.6�� Step 2: Divide. 1.2in the answer above the 8 �� 9.6��decimal point in the - 8number being divided. 16

- 160

a. 2 �� 6..2�� b. 5 �� 5.05�� c. 3 �� 6.36�� d. 4 �� 1 .2��

e. 5 �� 63.5�� f. 2�� 4.34�� g. 4 �� 7.12�� h. 6 �� 3.72��

i. 8 �� 6.5.6�� j. 5 �� 1.85�� k. 6 �� 6.36�� l. 8 �� 2.16��

m. 9 �� 8.73�� n. 6 �� 64.2�� o. 2 �� 9.62�� p. 7 �� 16.1��

45

Name __________________________________ Date ___________________


..


Dividing a DecimalDivide.

a. 3.96 � 3 b. 2.08 � 4 c. 2.10 � 7 d. 8.19 � 9

e. 47.5 � 19 f. 172.2 � 21 g. 7.89 � 3 h. 11.5 � 5

i. 2 �� 6..3�� j. 8 �� 96.4�� k. 5 �� 6.4�� l. 10 �� 4.26��

m. Kim is pouring 4 glasses of orange juice for breakfast. She wants to divide 16.8 ounces of juice evenly. How many ounces should she pour into each glass?

n. Henry has a rope that is 24.9 feet long. If he cuts it into 6 equal pieces, how long will each piece be?

Name __________________________________ Date ___________________

46



Dividing by a DecimalDivide.

Example: Step 1: Move the decimal point 0.8 �� 9.6�� Step 2: Divide. 12the same number of 8 �� 96��places in each number - 8to make the divisor 16a whole number. - 16

0

a. 0.9 �� 8.1�� b. 0.8 �� 56�� c. 0.3 �� 14.1�� d. 1.4 �� 30.8��

e. 1.01 �� 30.3�� f. 0.5 �� 25�� g. 0.4 �� 7.32�� h. 0.06 �� 3.6��

i. 0.2 �� 6..5�� j. 0.12 �� 1.8�� k. 0.4 �� 6.6�� l. 0.25 �� 1.75��

m. 0.07 �� 4.9�� n. 0.6 �� 0.36�� o. 0.7 �� 1.12�� p. 1.05 �� 84��

47

Name __________________________________ Date ___________________


1 1


Dividing by a DecimalDivide.

a. 8.58 � 1.43 b. 67.5 � 2.25 c. 8.44 � 4.22

d. 22.88 � 3.52 e. 0.1 � 0.08 f. 15.42 � 5.14

g. On field day, Felicia hopped 10.2 yards in 30.6 seconds without stopping. How fast did she hop per yard?

h. Nancy spent 11.50 hours studying for her final exams. Her friend Patty spent 2.30 hours studying. How many times longer than Patty did Nancy study?

Name __________________________________ Date ___________________

48



Multiplying FractionsMultiply. Write your answer in lowest terms.

a. 9 �13 = ______ b. 4 �

12 = ______ c. 6 �

23 = ______

d. 8 �34 = ______ e. 6 �

16 = ______ f. 2 �

13 = ______

g. 14 �

13 = ______ h. 3

8 �12 = ______ i. 2

5 �12 = ______

j. 56 �

12 = ______ k. 2

9 �13 = ______ l. 4

5 �18 = ______

m. 25 �

16 = ______ n. 7 �

17 = ______ o. 1

3 �610 = ______

p. 27 �

17 = ______ q. 3

3 �13 = ______ r. 1

4 � 8 = ______

49

Name __________________________________ Date ___________________



Multiplying FractionsMultiply. Write your answer in lowest terms.

a. 7 �25 = ______ b. 2

5 �14 = ______ c. 2 �

310 = ______

d. 55 �

13 = ______ e. 5 �

13 = ______ f. 4

6 �13 = ______

g. 24 �

13 = ______ h. 2

4 �34 = ______ i. 1

8 �81 = ______

j. Mrs. Hanson bought 32 ice-cream sandwiches for her class. The class ate 3

4 of the sandwiches. How many ice-cream sandwiches did the class eat?

k. Justin earned $14 for aluminum cans he recycled. Sam's earnings were 1

7 of Justin's earnings. How much did Sam earn?

Name __________________________________ Date ___________________

50



Dividing FractionsDivide. Write your answer in lowest terms.

a. 4 �13 = ______ b. 8 �

25 = ______ c. 6 �

12 = ______

d. 3 �37 = ______ e. 1 �

58 = ______ f. 5 �

23 = ______

g. 7 �31 = ______ h. 9 �

23 = ______ i. 2 �

12 = ______

j. 56 �

12 = ______ k. 2

9 � 13 = ______ l. 4

5 � 110 = ______

m. 45 �

14 = ______ n. 2

9 �23 = ______ o. 1

2 �38 = ______

51

Name __________________________________ Date ___________________



Dividing FractionsDivide. Write your answer in lowest terms.

a. 23 �

89 = ______ b. 2

7 � 24 = ______ c. 2

6 � 13 = ______

d. 15 �

12 = ______ e. 5 �

56 = ______ f. 3

4 � 14 = ______

g. 13 �

13 = ______ h. 2

7 � 23 = ______ i. 1

10 �81 = ______

p. Andrew is making hot chocolate for his friends. He has 34 cup

of hot chocolate mix. It takes 18 cup for each serving. How

many servings can he make?

q. Alicia has 12 of a large pizza left. She wants to split it evenly

between 3 people. What fraction of the whole pizza will each person get?

Name __________________________________ Date ___________________

52



Mixed NumbersMultiply. Write your answer in lowest terms.

a. 212 �

12 = ______ b. 1

23 � 1

23 = ______ c. 3

15 � 5 = ______

d. 312 �

34 = ______ e. 9

14 �

12 = ______ f. 51

3 �16 = ______

g. 323 �

16 = ______ h. 2

18 �

18 = ______ i. 3

13 � 4

12 = ______

j. Lori's oatmeal cookie recipe calls for 1 12 cups of oats for each

batch of cookies. If she wants to make 3 batches of cookes, how many cups of oats does she need?

53

Name __________________________________ Date ___________________



Mixed NumbersDivide. Write your answer in lowest terms.

a. 212 � 1

14 = ______ b. 1

23 � 1

23 = ______ c. 3 � 5

34 = ______

d. 218 � 1

18 = ______ e. 1

16 � 3

16 = ______ f. 51

3 � 116 = ______

g. 23 � 2

12 = ______ h. 10

12 � 1

14 = ______ i. 3

35 � 4= ______

j. Raymond has 1 12 cups of muffin batter, and each muffin takes

14 cup of batter. How many muffins will he be able to make

from his batter?

Name __________________________________ Date ___________________

54



Multiplying IntegersMultiply.

a. -4 � -8 = ______ b. +6 � +4 = ______ c. -5 � -8 = ______

d. +7 � +10 = ______ e. -1 � -3 = ______ f. +7 � +2 = ______

g. +5 � +4 = ______ h. -7 � -8 = ______ i. +4 � +3 = ______

j. -11 � -4 = ______ k. -6 � -7 = ______ l. +8 � +2 = ______

m. +13 � 0 = ______ n. -3 � -9 = ______ o. -6 � -4 = ______

p. –5 � +1 = ______ q. +4 � -5 = ______ r. –9 � +6 = ______

s. -10 � +2 = ______ t. -2 � +4 = ______ u. –5 � +8 = ______

v. –4 � +3 = ______ w. +3 � -6 = ______ x. -3 � 0 = ______

55

Name __________________________________ Date ___________________



Multiplying IntegersMultiply.

a. -7 � -8 = ______ b. +4 � +5 = ______ c. -12 � +6 = ______

d. +7 � +11 = ______ e. -3 � +3 = ______ f. +9 � -7 = ______

g. +4 � -8 = ______ h. -6 � -6 = ______ i. +7 � +8 = ______

j. +12 � -4 = ______ k. -2 � -7 = ______ l. -3 � +2 = ______

Write an integer equation for each problem and solve it.

m. For 5 days in a row, the temperature has risen 2 degrees each day. How much has the temperature changed in all?

n. The temperature drops 3 degrees each day for 3 days in a row.How much has the temperature changed in all?

o. An oil drill digs 6 feet farther below sea level every hour. What integer represents how far the drill digs in 6 hours?

Name __________________________________ Date ___________________

56



Dividing IntegersDivide.

a. -42 � -6 = ______ b. +14 � +2 = ______ c. -12 � -4 = ______

d. +2 � +1 = ______ e. -81 � -9 = ______ f. +8 � +2 = ______

g. +20 � +4 = ______ h. -18 � -3 = ______ i. +9 � +3 = ______

j. -72 � -8 = ______ k. -60 � -12 = ______ l. +14 � +7 = ______

m. +54 � +9 = ______ n. -27 � -9 = ______ o. -15 � -5 = ______

p. –63 � +7 = ______ q. +66 � -6 = ______ r. –9 � +1 = ______

s. -40 �+2 = ______ t. -35 � +7 = ______ u. –21 � +7 = ______

v. –18 � 0 = ______ w. +56 � -8 = ______ x. -3 � 1 = ______

57

Name __________________________________ Date ___________________



Dividing IntegersDivide.

a. +24 � -6 = ______ b. -18 � -3 = ______ c. +10 � -2 = ______

d. +120� +12 = _____ e. -36 � +3 = ______ f. +16 � -2 = ______

g. -24 � +8 = ______ h. -6 � -6 = ______ i. -11 � +1 = ______

j. -28 � -4 = ______ k. +80 � +8 = ______ l. +6 � -2 = ______

Write an integer equation for each problem and solve it.

m. Marie earns $21 for 7 days of babysitting. How much did she earn each day?

n. Marie spends the same amount every day at the school store.She spends $10 in 5 days. What integer shows how Marie’s total amount of money changes every day?

o. The temperature went down 15 degrees in 3 days. What integer shows the average change per day?

Name __________________________________ Date ___________________

58



AAnnsswweerrssMMuullttiipplliiccaattiioonn PPoowweerrPage 3: a. 2255; b. 2255; c. 2244; d. 2244; e. 1155; f. 1155; g. 2244; h. 2244; i. 33 xx 77 == 2211;j. 66 xx 99 == 5544; k. 22 xx 66 == 1122; l. 55 xx 11 == 55

Page 4: a. 66 ++ 66 ++ 66 ++ 66 ++ 66 == 3300; b. 55 xx 66 == 3300; c. 66 xx 33 == 1188; d. 44 xx 44 == 1166; e. 55 xx 11 == 55; f. 55 ++ 55 ++ 55 ++ 55 == 2200 bbaaggeellss,, 55 xx 44 == 2200 bbaaggeellss

MMuullttiipplliiccaattiioonn FFaaccttssPage 5: a. 1144; b. 1188; c. 2200; d. 88; e. 1122; f. 4400; g. 1188; h. 2288; i. 2200; j. 5566; k. 1166; l. 99; m. 1166; n. 4455; o. 6633; p. 3300; q. 2200; r. 4422; s. 3322; t. 7722

Page 6: a. RRooww 11:: 55,, RRooww 22:: 44,, 66,, 1122,, 1144,, RRooww 33:: 1155,, 2244,, RRooww 44:: 88,, 1166,, 2200,, RRooww 55:: 2255,, 4455,, RRooww 66:: 1122,, 3300,, RRooww 77:: 4422,, RRooww 88:: 1166,, RRooww 99:: 8811,, RRooww 1100:: 1100,, 2200,, 3300; b. 5566; c. 6644; d. 3300; e. 5544; f. 6633; g. 2244; h. 4488; i. 110000; j. 3366; k. 2211; l. 7722; m. 4400

BBeeyyoonndd BBaassiicc FFaaccttssPage 7: a. 4488; b. 3399; c. 4444; d. 3366; e. 8844; f. 2244; g. 112266; h. 6688; i. 9966; j. 2288; k. 112233; l. 8800; m. 1122 xx 44 == 4488 ssttrriinnggss; n. 22 xx 3322 == 6644 mmiilleess; o. 1133 xx 22 == 2266 ffeeeett

Page 8: a. 224466; b. 993333; c. 444488; d. 11,,664488; e. 999966; f. 224488; g. 550055; h. 448888; i. 11,,229966; j. 444488; k. 11,,223366; l. 666688; m. 22 xx 113344 == 226688 oorraannggeess; n. 33 xx 112233 == 336699 bbeeaaddss; o. 44 xx 112222 == 448888 ppaaggeess

RReeggrroouuppiinngg MMuullttiipplliiccaattiioonnPage 9: a. 7788; b. 3388; c. 110044; d. 9988; e. 222255; f. 111122; g. 113322; h. 118800; i. 7722; j. 111122; k. 5544; l. 332255; m. 22 xx 3377 == 7744 ccaarrddss; n. 22 xx 4455 == 9900 ggaalllloonnss; o. 33 xx 2266 == 7788 lliinnkkss

Page 10: a. 991188; b. 776622; c. 993366; d. 779922; e. 770055; f. 11,,119977; g. 443388; h. 884400; i. 11,,002244; j. 775566; k. 446622; l. 11,,225533; m. 22 xx 336655 == 773300 mmiilleess; n. 33 xx 115555 == 446655 ttooootthhppiicckkss; o. 44 xx 224444 == 997766 ssttiicckkeerrss

PPoowweerrss aanndd MMuullttiipplleess ooff TTeennPage 11: a. 77,, 7700,, 770000,, 77,,000000; b. 33,, 3300,, 330000,, 33,,000000; c. 55,, 5500,, 550000,,55,,000000; d. 1188,, 118800,, 11,,880000,, 1188,,000000; e. 1166,, 116600,, 11,,660000,, 1166,,000000; f. 1166,, 116600,, 11,,660000,, 1166,,000000; g. 2200,, 220000,, 22,,000000,, 2200,,000000;

59


h. 4400,, 440000,, 44,,000000,, 4400,,000000; i. 3300,, 330000,, 33,,000000,, 3300,,000000 j. 660000; k. 44,,000000; l. 8800; m. 663300; n. 1166,,000000; o. 442200; p. 11,,880000; q. 11,,550000; r. 2277,,000000

Page 12: a. 880000,, 88,,000000; b. 22,,110000,, 2211,,000000; c. 44,,880000,, 4488,,000000; d. 22,,000000,, 2200,,000000; e. 11,,440000; f. 11,,660000; g. 11,,880000; h. 88,,000000; i. 2255,,000000; j. 7722,,000000; k. 33 xx 1100,,000000 == 3300,,000000 ddeeggrreeeess FFaahhrreennhheeiitt; l. 4400 xx 22,,000000 == 8800,,000000 ppoouunnddss

TTwwoo--DDiiggiitt MMuullttiipplliiccaattiioonnPage 13: a. 999922; b. 888888; c. 11,,555588; d. 11,,550000; e. 228888; f. 229999; g. 886644; h. 22,,666666; i. 22,,002244; j. 226644; k. 772288; l. 33,,112200; m. 1122 xx 1144 == 116688 mmiilleess; n. 2211 xx 4455 == 994455 sseeeeddss

Page 14: a. 55,,446600; b. 33,,005500; c. 55,,118844; d. 55,,661166; e. 1188,,774488; f. 1100,,330022; g. 1166,,557788; h. 33,,881100; i. 1144,,994400; j. 11,,770055; k. 2266,,119966; l. 2244,,449922; m. 1188 xx 117766 == 33,,116688 sseeaattss; n. 1166 xx 115500 == 22,,440000 bbooxxeess

GGrreeaatteerr NNuummbbeerr MMuullttiipplliiccaattiioonnPage 15: a. 110000 ++ 2200 ++ 44; b. 330000 ++ 6600 ++ 55; c. 660000 ++ 9900 ++ 77; d. 440000 ++ 3300 ++ 22,, ((440000 xx 22)) ++ ((3300 xx 22)) ++ ((22 xx 22)),, 880000 ++ 6600 ++ 44,, 886644;e. 770000 ++ 1100 ++ 55,, ((770000 xx 55)) ++ ((1100 xx 55)) ++ ((55 xx 55)),, 33550000 ++ 5500 ++ 2255,,33557755; f. 880000 ++ 6600 ++ 99,, ((880000 xx 33)) ++ ((6600 xx 33)) ++ ((99 xx 33)),, 22440000 ++ 118800 ++ 2277,, 22660077

Page 16: a. 111144,,003300; b. 6633,,775566; c. 8888,,999988; d. 112211,,112255; e. 116677,,668888; f. 221155,,446688; g. 9999,,552288; h. 4433,,994455; i. 336655 xx 118800 == 6655,,770000 mmiinnuutteess; j. 111144 xx 112255 == $1144,,225500

MMuullttiipplliiccaattiioonn PPrrooppeerrttiieessPage 17: a. 00; b. 334422; c. 00; d. 1188; e. 887722; f. 00; g. 88,,774400; h. 00; i. 00; j. 664422; k. 2277; l. 00; m. 771133; n. 00; o. 88,,225566; p. 00; q. 00; r. 00 mmaarrbblleess; s. 11,,002244 aanniimmaall ccrraacckkeerrss

Page 18: a. 1100,, 1100,, 55; b. 77,, 77,, 77; c. 7722,, 7722,, 88; d. 335522,, 335522; e. 11,,880000,,11,,880000; f. 116600,, 116600; g. 880000,, 880000; h. 114400; i. 118800; j. 44,,550000; k. 33,,660000

TThhee DDiissttrriibbuuttiivvee PPrrooppeerrttyyPage 19: a. 22,, 22,, 1144 ++ 1144,, 2288; b. 44,, 44,, 4400 ++ 3322,, 7722; c. 11,, 11,, 330000 ++ 66,,330066; d. 22,, 22,, 22550000 –– 5500,, 22,,445500

60


a. 664400 ++ 112288,, 776688; b. 2200 ++ 22,, ((2222 xx 2200)) ++ ((2222 xx 22)),, 444400 ++ 4444,, 448844 ppaarrkkiinngg ssppaacceess; c. 116688 bbaanndd mmeemmbbeerrss; d. 997755 sseeaattss

DDiivviissiioonn PPoowweerrPage 21: a. 22; b. 55; c. 44; d. 33; e. 77; f. 44; g. 55; h. 55; i. 77; j. 55; k. 22; l. 22

Page 22: a. 1122 �� 66 == 22; b. 99 �� 33 == 33; c. 88 �� 22 == 44; d. 44; e. 11; f. 22; g. 22; h. 99; i. 44; j. 55; k. 22; l. 66; m. qquuoottiieenntt; n. ddiivviissoorr; o. ddiivviiddeenndd; p. 1166 �� 22 == 88 llaarrvvaaee

MMuullttiipplliiccaattiioonn aanndd DDiivviissiioonnPage 23: a. 55 xx 44 == 2200,, 2200 �� 55 == 44,, 2200 �� 44 == 55; b. 22 xx 66 == 1122,, 1122 �� 66== 22,, 1122 �� 22 == 66; c. 99 xx 55 == 4455,, 4455 �� 55 == 99,, 4455 �� 99 == 55; d. 99 xx 22 == 1188,,22 xx 99 == 1188,, 1188 �� 22 == 99

Page 24: a. 44; b. 11; c. 22; d. 22; e. 99; f. 44; g. 99; h. 77; i. 88; j. 66; k. 33; l. 33; m. 66; n. 77; o. 99; p. 99; q. 1100; r. 77; s. 66; t. 66;; u. 44; v. 55; w. 22; x. 77

DDiivviissiioonn FFaaccttss Page 25: a. 88,, 88; b. 88,, 88; c. 88,, 88; d. 44,, 44; e. 77,, 77; f. 99,, 99; g. 77,, 77; h. 77,, 77;i. 88,, 88; j. cc

Page 26: a. 33; b. 1100; c. 22; d. 99; e. 00; f. 88; g. 33; h. 88; i. 66; j. 00; k. 33; l. 44; m. 22; n. 1111; o. 44; p. 1111; q. 77; r. 1122; s. 77; t. 1122;; u. 22; v. 2200 �� 55 == 44 mmaaggaazziinneess; w. 88 �� 88 == 11 bbaasskkeettbbaallll..

RReemmaaiinnddeerrss aanndd DDiivviissiibbiilliittyyPage 27: a–e. Check pictures. a. 33RR22; b. 22RR22; c. 33RR11; d. 55RR11; e. 44RR33; f. 44 ppaannccaakkeess,, 22 ppaannccaakkeess

Page 28: a. YYeess,, YYeess,, YYeess; b. YYeess,, NNoo,, YYeess; c. NNoo,, YYeess,, NNoo; d. NNoo,, NNoo,, YYeess,, YYeess; e. 22 ccaarrttoonnss,, 44 eeggggss,, 33 ccaarrttoonnss; f. 88 sseeaattss ppeerrttaabbllee,, 2266 ttaabblleess

LLoonngg DDiivviissiioonnPage 29: a. 1177; b. 3399; c. 2244; d. 2299; e. 1144; f. 1133; g. 1144; h. 1166; i. 3322; j. 3388; k. 1133; l. 1122; m. 1177; n. 1133; o. 1111; p. 1122; q. 2211 ppaaggeess..

61


a. 1111RR11; b. 1100RR22; c. 2244RR11; d. 1155RR55; e. 2222RR22; f. 1122RR33; g. 4455RR11; h. 1111RR44; i. 1166RR11; j. 2244RR11; k. 1133RR33; l. 2200RR11; m. 1122RR33; n. 1100RR55; o. 1177RR11; p.1177RR22; q. 2255 ppeeooppllee,, YYeess,, 11 aappppllee

DDiivviiddiinngg bbyy GGrreeaatteerr NNuummbbeerrssPage 31: a. 9933; b. 1166; c. 2233; d. 1133; e. 220000; f. 440077; g. 1155; h. 6677

Page 32: a. 666644; b. 5533; c. 7722; d. 226611; e. 1133; f. 4477; g. 11,,000000 �� 4400 == 2255 ccoowwss

DDiivviissiioonn aanndd MMuullttiipplleess ooff TTeennPage 33: a. 5500,, 2255 �� 55 == 55; b. 4400,, 1166 �� 44 == 44; c. 77,, 4499 �� 77 == 77; d. 44,, 3366 �� 99 == 44; e. 440000,, 2288 �� 77 == 44; f. 3300,, 2244 �� 88 == 33 ; g. 88; h. 88; i. 8800; j. 99; k. 99; l. 99; m. 66; n. 66; o. 6600; p. 77; q. 77; r. 77

Page 34: a. 66; b. 4400; c. 44; d. 66; e. 5500; f. 9900; g. 77; h. 77; i. 55; j. 2200; k. 88; l. 220000; m. $66,,000000; n. 2200 iitteemmss

EEssttiimmaattiioonn PPoowweerr:: MMuullttiipplliiccaattiioonnPage 35: a. 11,,550000; b. 33,,000000; c. 55,,660000; d. 1144,,000000; e. 2200,,000000; f. 336600; g. 1155,,000000 lluunncchheess; h. 1188,,000000 rreeaaddiinngg ppooiinnttss; i. $$33,,660000

Page 36: a. 11,,880000; b. 22,,000000; c. 550000; d. 11,,660000; e. 77,,220000; f. 33,,660000; g. 11,,220000; h. 11,,000000; i. 11,,557733; j. 1100,,000000; k. 88,,000000; l. 99,,117766

EEssttiimmaattiioonn PPoowweerr:: DDiivviissiioonnPage 37: a. 1100; b. 3300; c. 110000; d. 2200; e. 7700; f. 55; g. AAbboouutt 2200 rroowwss; h. AAbboouutt 4400 ppeeooppllee; i. AAbboouutt 1100 ppoouunnddss..

Page 38: a. 55; b. 1100; c. 88; d. 6600; e. 3300; f. 33; g. 66; h. 66; i. 66; j. 1100; k. 88; l. 88RR1122

WWoorrdd PPrroobblleemm PPoowweerr:: MMuullttiipplliiccaattiioonn Page 39: a. 2200,,000000 kkiinnddss ooff ggrraasssshhooppppeerrss; b. 335500 ttiimmeess; c. 226644 ssppoottss; d. 221100 mmiilleess; e. 8855 yyeeaarrss

Page 40: a. 336600,,000000 bbeeeess; b. 669966 sseeccoonnddss; c. 1144,,000000 eeyyeess; d. 55,,660000 mmiilleess; e. $$3355; f. $$881166

62


WWoorrdd PPrroobblleemm PPoowweerr:: DDiivviissiioonnPage 41: a. 1122 ttiimmeess; b. 33 hhoouurrss; c. 88 ttiimmeess; d. 4400 mmiilleess; e. 228855 ppoouunnddss

Page 42: a. 4400 ttiimmeess ; b. 1166 iinnsseeccttss; c. 88 ccaatteerrppiillllaarrss; d. 335500 lleeggss eeaacchh; e. 9966 mmiilleess; f. 55 bbuusseess

MMuullttiippllyyiinngg wwiitthh DDeecciimmaallssPage 43: a. 2255..22; b. 66..66; c. 2222..22; d. 4455..55; e. 3344; f. 1177..55; g. 4455..99; h. 5533..66; i. 1122..4488; j. 7700..55; k. 44..4488; l. 8855..44; m. 1100..77; n. 2299..22; o. 1133..2288; p. 4422..33

Page 44: a. 8866..3366; b. 77..338833; c. 111199..77; d. 3311..1111; e. 3311..772222; f. 2244..4488; g. 8888..008888; h. 44..4488; i. 33..7755 mmiilleess; j. $$6644..7755

DDiivviiddiinngg aa DDeecciimmaall Page 45: a. 33..11; b. 11..0011; c. 22..1122; d. 00..33; e. 1122..77; f. 22..1177; g. 11..7788; h. 00..6622; i. 88..22; j. 00..3377; k. 11..0066; l. 00..2277; m. 00..9977; n. 1100..77; o. 44..8811; p. 22..33

Page 46: a. 11..3322; b. 00..5522; c. 00..33; d. 00..9911; e. 22..55; f. 88..22; g. 22..6633; h. 22..33; i. 33..1155; j. 1122..0055; k. 11..2288; l. 00..442266; m. 44..22 oouunncceess; n. 44..1155 ffeeeett lloonngg

DDiivviiddiinngg bbyy aa DDeecciimmaallPage 47: a. 99; b. 7700; c. 4477; d. 2222; e. 3300; f. 5500; g. 1188..33; h. 6600; i. 3322..55; j. 1155; k. 1166..55; l. 77; m. 7700; n. 00..66; o. 11..66; p. 8800

Page 48: a. 66; b. 3300; c. 22; d. 66..55; e. 11..2255; f. 33; g. 33 sseeccoonnddss; h. 55 ttiimmeess lloonnggeerr

MMuullttiippllyyiinngg FFrraaccttiioonnss

Page 49: a. 33; b. 22; c. 44; d. 66; e. 11; f. 22//33; g. 11//1122; h. 33//1166; i. 11//55; j. 55//1122;

k. 22//2277; l. 11//1100; m. 11//1155; n. 11; o. 11//55; p. 22//4499; q. 11//33; r. 22

Page 50: a. 2244//55; b. 11//1100; c. 33//55; d. 11//33; e. 1122//33; f. 22//99; g. 11//66;

h. 33//88; i. 11; j. 2244 iiccee--ccrreeaamm ssaannddwwiicchheess..; k. $$22

63


DDiivviiddiinngg FFrraaccttiioonnss

Page 51: a. 1122; b. 2200; c. 1122; d. 77; e. 1133//55; f. 7711//22; g. 2211//33; h. 113311//22; i. 44;

j. 1122//33; k. 22//33; l. 88; m. 3311//55; n. 11//33; o. 1111//33

Page 52: a. 33//44; b. 44//77; c. 11; d. 22//55; e. 66; f. 33; g. 11; h. 33//77; i. 11//8800;

j. 66 sseerrvviinnggss; k. 11//66 ooff tthhee ppiizzzzaa..

MMiixxeedd NNuummbbeerrss

Page 53: a. 1111//44; b. 2277//99; c. 1166; d. 2255//88; e. 4455//88; f. 88//99; g. 1111//1188;

h. 1177//6644; i. 1155; j. 4411//22 ccuuppss ooff ooaattss..

Page 54: a. 22; b. 11; c. 1122//2233; d. 1188//99; e. 77//1199; f. 4444//77; g. 44//1155; h. 8822//55; i.99//1100; j. 66 mmuuffffiinnss..

MMuullttiippllyyiinngg IInntteeggeerrss

Page 55: a. ++3322; b. ++2244; c. ++4400; d. ++7700; e. ++33; f. ++1144; g. ++2200; h. ++5566; i. ++1122; j. ++4444; k. ++4422; l. ++1166; m. 00; n. ++2277; o. ++2244; p. --55; q. --2200; r. --5544; s. --2200; t. --88; u. --4400; v. --1122; w. --1188; x. 00

Page 56: a. ++5566; b. ++2200; c. ––7722; d. ++7777; e. ––99; f. --6633; g. --3322; h. ++3366; i. ++5566; j. ––4488; k. ++1144; l. --66; m. ++55 xx ++22 ==++1100 ddeeggrreeeess; n. --33 xx ++33 == --99 ddeeggrreeeess; o. --66 xx ++66 == ––3366 ffeeeett

DDiivviiddiinngg IInntteeggeerrss Page 57: a. ++77; b. ++77; c. ++33; d. ++22; e. ++99; f. ++44; g. ++55; h. ++66; i. ++33; j. ++99; k. ++55; l. ++22; m. ++66; n. ++33; o. ++33; p. --99; q. --1111; r. --99; s. --2200; t. --55; u. --33; v. 00; w. --77; x. --33

Page 58: a. ––44; b. ++66; c. ––55; d. ++1100; e. ––1122; f. --88; g. --33; h. ++11; i. --1111; j. ++77; k. ++1100; l. --33; m. ++2211 �� ++77 == ++$$33,, oorr $$33; n. ––1100 �� ++55 == --22ddoollllaarrss; o. ––1155 �� ++33 == ––55 ddeeggrreeeess

64


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