answer key - charles armstrong school · answer key a. 4,560,000 what place is the underlined digit...

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Ms. Sarah Fox

~ Summer 2013

Summer Math Packet ANSWER KEY

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Name: __________________________________________ Place Value

Place and Value

ANSWER KEY

a. 4,560,000 What place is the underlined digit in? ten thousands place

What is the value of the underlined digit? 60,000

b. 56,002,030 What place is the underlined digit in? millions place

What is the value of the underlined digit? 6,000,000

c. 3,924,560 What place is the underlined digit in? tens place

What is the value of the underlined digit? 60

d. 5,019,204 What place is the underlined digit in? millions place


e. 6,070,321 What place is the underlined digit in? ten thousands place

What is the value of the underlined digit? 70,000

f. 19,352,340 What place is the underlined digit in? ten millions place


g. 23,269,002 What place is the underlined digit in? ten millions place


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ANSWER KEY

Making Really Big Numbers Look Even Bigger

Write each number in expanded form.

examples: 1,201,345 = __1,000,000 + 200,000 + 1,000 + 300 + 40 + 5

3,509,005 = __3,000,000 + 500,000 + 9,000 + 5__________

a. 4,502,093 = 4,000,000 + 500,000 + 2,000 + 90 + 3

b. 3,002,932 = 3,000,000 + 2,000 + 900 + 30 + 2

c. 1,703,200 = 1,000,000 + 700,000 + 3,000 + 200

d. 6,203,921 = 6,000,000 +200,000 + 3,000 + 900 + 20 + 1

e. 7,802,400 = 7,000,000 + 800,00 + 2,000 + 400

f. 9,209,998 = 9,000,000 + 200,000 + 9,000 + 900 + 90 + 8

g. 3,456,002 = 3,000,000 + 400,000 + 50,000 + 6,000 + 2

h. 6,000,002 = 6,000,000 + 2

i. 5,032,090 = 5,000,000 + 30,000 + 2,000 + 90

j. 7,800,230 = 7,000,000 + 800,000 + 200 + 30

k. 3,025,607 = 3,000,000 + 20,000 + 5,000 + 600 + 7

l. 4,040,040 = 4,000,000 + 40,000 + 40

m. 1,000,221 = 1,000,000 + 200 + 20 + 1

n. 2,561,005 = 2,000,000 + 500,000 + 60,000 +1,000 +5

o. 2,900,003 = 2,000,000 + 900,000 + 3

p. 7,200,300 = 7,000,000 + 200,000 + 300

q. 1,111,111 = 1,000,000 + 100,000 + 10,000 + 1,000 + 100 + 10 + 1

r. 4,506,070 = 4,000,000 + 500,000 + 6,000 + 70



Name: ____________________________ Comparing 6-Digit Numbers

Comparing Six-Digit Numbers - ANSWER KEY

Part 1: Write <, >, or = on each line.

a. 254,789 < 254,879 b. 545,454 > 454,545 c. 134,312 = 134,312

d. 778,003 < 778,030 e. 32,999 < 102,033 f. 676,777 > 667,798

g. 898,820 > 99,929 h. 344,280 > 340,289 i. 34,559 < 304,559

j. 817,300 = 817,300 k. 690,609 > 609,690 l. $100,020 < $100,200

Part 2: On each line, write out the words, “is greater than,” “is less than,” or “is equal to”

m. 789,224 is equal to 789,224

n. 154,000 is greater than 145,000

o. 456,929 is less than 456,992

p. $515,013 is greater than $59,013

q. 815,789 is less than 851,709

Part 3: Circle the greater amount in each pair.

r. 245,611 254,600 s. 470,009 48,090 t. 344,002 340,009

Part 4: Read and answer the questions.

u. There are 686,923 people living in Alaska.

There are 873,092 people living in Delaware.

Which state has the greater population? Delaware

v. The size of Texas is 268,581 square miles.

Minnesota is 86,939 square miles.

Which state has smaller area? Minnestoa

w. The distance around the Earth's equator is 24,901 miles.

The distance around Saturn's equator is 236,672 miles.

Which planet has the shorter distance around its equator? Earth



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Set F-1Seven-Digit Numbers

Cut out the cards and place the numbers in orderfrom least to greatest.

5,619,883 3,491,067 6,306,674

827,540 6,366,074 5,619,388

3,941,067 6,306,764 3,490,176

5,169,883 3,941,076 8,275,400

F-1 F-1 F-1

F-1 F-1 F-1

F-1 F-1 F-1

F-1 F-1 F-1




7,595,907 346,346 2,793,626

1,700,100 2,973,266 7,595,970

2,793,266 3,460,046 1,701,000

7,959,570 1,700,999 3,460,460

F-2 F-2 F-2

F-2 F-2 F-2

F-2 F-2 F-2

F-2 F-2 F-2




6,278,489 9,214,587 4,114,360

7,256,770 5,310,984 9,142,857

4,114,359 7,256,707 6,278,984

7,256,077 513,098 9,412,857

F-3 F-3 F-3

F-3 F-3 F-3

F-3 F-3 F-3

F-3 F-3 F-3




8,699,589 4,227,321 1,637,176

4,227,311 1,637,716 8,699,590

1,367,716 195,742 1,957,400

8,700,589 4,223,711 1,637,617

F-4 F-4 F-4

F-4 F-4 F-4

F-4 F-4 F-4

F-4 F-4 F-4




3,168,927 7,696,821 5,740,387

7,966,821 262,489 3,168,304

3,168,297 5,473,087 2,300,489

2,624,901 7,700,821 5,743,087

F-5 F-5 F-5

F-5 F-5 F-5

F-5 F-5 F-5

F-5 F-5 F-5


ANSWER KEY

Set F-1: 827,540; 3,490,176; 3,491,067; 3,941,067; 3,941,076; 5,169,883;5,619,388; 5,619,883; 6,306,674; 6,306,764; 6,366,074; 8,275,400

Set F-2: 346,346; 1,700,100; 1,700,999; 1,701,000; 2,793,266; 2,793,626;2,973,266; 3,460,046; 3,460,460; 7,595,907; 7,595,970; 7,959,570

Set F-3: 513,098; 4,114,359; 4,114,360; 5,310,984; 6,278,489; 6,278,984;7,256,077; 7,256,707; 7,256,770; 9,142,857; 9,214,857; 9,412,857

Set F-4: 195,742; 1,367,716; 1,637,176; 1,637,617; 1,637,716; 1,957,400;4,223,711; 4,227,311; 4,227,321; 8,699,589; 8,699,590; 8,700,589

Set F-5: 262,489; 2,300,489; 2,624,901; 3,168,297; 3,168,927; 3,168,304;5,473,087; 5,740,387; 5,743,087; 7,696,821; 7,966,821; 7,700,821

Sets of Ordering CardsSet A - Ordering Two-Digit Numbers

Set B - Ordering Three-Digit Numbers

Set C - Ordering Four-Digit Numbers

Set D - Ordering Five-Digit Numbers

Set E - Ordering Six-Digit Numbers

Set F - Ordering Seven-Digit Numbers

Set G - Ordering Decimals - Tenths

Set H - Ordering Decimals - Hundredths

Set I - Ordering Decimals - Tenths and Hundredths

Set J - Ordering Fractions

Set K - Ordering Mixed Numbers

ANSWER KEY

Addition with 4-Digit Addends

Find the sums.

a. 7, 4 4 7 b. 3, 9 8 6

+ 2, 9 8 7 + 3, 9 2 0

1 0, 4 3 4 7, 9 0 6

c. 6, 9 7 8 d. 2, 4 0 8 e. 5, 8 7 6 f. 6, 2 6 1

+ 8 7 + 5, 7 3 9 + 2, 3 8 7 + 9 8 0

7, 0 6 5 8, 1 4 7 8, 2 6 3 7, 2 4 1

g. 4 6 h. 5, 0 9 6 i. $ 1, 8 9 8 j. $ 1, 6 9 8

+ 9, 4 8 5 + 9, 1 4 5 + $ 7 3 7 + $ 5 6 7

9, 5 3 1 1 4, 2 4 1 $ 2, 6 3 5 $ 2, 2 6 5

k. A scuba diver finds a treasure chest in the ocean.

When she opens it up, she discovers that it is filled

with 3,567 gold coins and 1,793 silver coins. How

many coins does the chest contain in all? 5,360 coins

l. The treasure chest also contains pearls! There

are 1,356 white pearls and 562 black pearls.

How many pearls are there altogether? 1,918 pearls



ANSWER KEY

Subtraction with 4-Digit Numbers

Subtract to find the differences.

a. 6, 3 9 7 b. 3, 8 8 0

- 2, 9 7 6 - 2, 9 2 6

3, 4 2 1 9 5 4

c. 5, 7 6 7 d. 9, 4 0 3 e. 4, 8 7 6 f. 8, 1 7 2

- 1 5 8 - 5, 1 3 3 - 1, 3 8 2 - 9 6 3

5, 6 0 9 4, 2 7 0 3, 4 9 4 7, 2 0 9

g. 7, 6 7 6 h. 8, 0 7 4 i. 1, 2 3 4 j. 5, 5 5 5

- 5, 8 5 8 - 4, 5 0 8 - 5 1 8 - 2 9 5

1, 8 1 8 3, 5 6 6 7 1 6 5, 2 6 0

k. There are 3,420 students at Oak Tree Elementary

School. 1,911 students are girls. How many are

boys? 1,509 are boys.

l. There are 1,293 4th graders at Oak Tree

Elementary School. On Monday,134 of them

were absent. How many 4th graders were in

school on Monday? 1,159 4th graders



ANSWER KEY

Multiplication: 0 - 9

a. 9 7 0 2 6

x 7 x 6 x 4 x 1 x 12

63 42 0 2 72

b. 3 4 9 4 3 5 6

x 8 x 11 x 8 x 4 x 6 x 3 x 5

24 44 72 16 18 15 30

c. 9 4 7 3 9 2 3

x 9 x 3 x 8 x 9 x 12 x 7 x 7

81 12 56 27 108 14 21

d. 5 7 9 6 4 7 7

x 8 x 2 x 4 x 11 x 8 x 9 x 7

40 14 36 66 32 63 49

e. 3 8 9 2 5 2 1

x 3 x 8 x 6 x 12 x 11 x 1 x 0

9 64 54 24 55 2 0

f. 8 8 5 4

x 6 x 4 x 5 x 9

48 32 25 36

g. 2 0 6 8

x 2 x 8 x 7 x 12

4 0 42 96

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Name: _________________________________________________ Multiplication: 3-Digits by 1-DigitANSWER KEY

a.7 6 2

b.4 3 8

c.2 0 9

x 3 x 5 x 6

2, 2 8 6 2, 1 9 0 1, 2 5 4

d.5 7 5

e.1 1 9

f.2 5 0

x 7 x 8 x 4

4, 0 2 5 9 5 2 1, 0 0 0

g.3 9 6

h.8 7 7

i.7 3 7

x 2 x 8 x 3

7 9 2 7, 0 1 6 2, 2 1 1

j. 4 8 6k.

7 3 2l.

9 4 8

x 1 x 7 x 2

4 8 6 5, 1 2 4 1, 8 9 6

m.7 6 0

n.1 4 5

o.3 7 3

x 7 x 6 x 9

5, 3 2 0 8 7 0 3, 3 5 7


Name: _________________________________________ Multiplying 2-Digit by 2-Digit Numbers

a.4 8

b.6 3

c.2 0

x 2 3 x 8 7 x 3 8

1, 1 0 4 5, 4 8 1 7 6 0

d.9 1

e.8 3

f.6 4

x 3 7 x 6 2 x 6 5

3, 3 6 7 5, 1 4 6 4, 1 6 0

g.9 9

h.6 4

i.4 2

x 9 9 x 7 3 x 7 0

9, 8 0 1 4, 6 7 2 2, 9 4 0

j. 8 2k.

3 5l.

2 7

x 6 1 x 4 5 x 4 8

5, 0 0 2 1, 5 7 5 1, 2 9 6


Name: ___________________________

DivisionDivisors up to 9

a. 6 b. 4

4 2 4 3 1 2

c. 9 d 6 e. 7 f. 9

8 7 2 7 4 2 4 2 8 9 8 1

g. 9 h. 8 i. 3 j. 7

3 2 7 6 4 8 3 9 5 3 5

k. 3 l. 6 m. 7 n. 9

7 2 1 7 4 2 4 2 8 9 8 1

m. 54 ÷ 6 = 9 n. 20 ÷ 5 = 4 o. 10 ÷ 2 = 5 m. 28 ÷ 7 = 4

p. 49 ÷ 7 = 7 q. 12 ÷ 6 = 2 r. 18 ÷ 3 = 6 s. 0 ÷ 7 = 0

t. 3 ÷ 1 = 3 u. 24 ÷ 3 = 8 v. 8 ÷ 2 = 4 w. 4 ÷ 4 = 1

x. There were 9 kittens stuck in a tree.

Superhero Flash Wolf rescued them all. He climbed the tree and carried three kittens

down at a time. How many times did he have to climb the tree? ans: 3 times

y. Flash Wolf had 27 kitty treats to feed to the

kittens he saved. If he gives each kitten the same number of treats, how many treats will

each kitten receive? ans: 3 treats Hint: Look at the other word problem to see how many

kittens there were.


Name: __________________________ ANSWER KEY

Division with Remainders

a. 7 r2 b. 6 r4 c. 1 r3 d. 2 r4

e. 4 r1 f. 5 r3 g. 5 r2 h. 5 r3

i. 5 r4 j. 1 r3 k. 7 r1 l. 2 r2

m. 1 r1 n. 2 r1 o. 5 r4 p. 9 r3

q. You have 23 cookies and 9 plates. r. There are 46 flowers and 9

You put the same number of vases. Each vase must have

cookies on each plate. the same number of flowers.

How many cookies How many flowers

are on each plate? 2 will be in each vase? 5

How many cookies How many flowers

are left over? 5 will be left over? 1


Name: ___________________________ ANSWER KEY

DivisionTwo-Digit and Three-Digit Dividends, No Remainders

a. 1 4 b. 1 5

2 2 8 3 4 5

c. 1 0 d. 1 6

4 4 0 2 3 2

e. 2 1 f. 2 0 g. 2 2

4 8 4 5 1 0 0 7 1 5 4

h. 3 2 i. 5 5 j. 8 1

9 2 8 8 6 3 3 0 8 6 4 8

k. A lion eats 462 pounds of food in a week.

If the lion eats the same amount of food each day,

how many pounds does a lion eat per day? ans: 66 poundsShow your work and label your answer.

6 6

7 4 6 2


ADecimal Addition

Three Digit Decimals - No Regrouping

Name: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) 43.611.3Ñ

( 2 ) 248.641.Ñ

( 3 ) 1.485.1Ñ

( 4 ) 701.286.Ñ

( 5 ) .457.31Ñ

( 6 ) 5.112.46Ñ

( 7 ) 50.528.4Ñ

( 8 ) 13.552.4Ñ

( 9 ) 136.333.Ñ

(10) 14.462.Ñ

(11) 34.245.6Ñ

(12) 8.07.11Ñ

(13) 5.761.03Ñ

(14) 743.11.Ñ

(15) 641.9.Ñ

A N S W E R K E Y

889. 86.5

987. 7.76 7.57

78.9 65.9 469.

476. 79.8 8.18

6.79 754. 640.1

54.9

ADecimal Subtraction

3 Digit - 2 Digit Decimals - Some Regrouping

Name: Date:

Copyright ©2012 WorksheetWorks.com

( 1 ) 5.782.2É

( 2 ) 56.436.É

( 3 ) 7.363.8É

( 4 ) 22.31.É

( 5 ) 9.913.4É

( 6 ) 9.782.8É

( 7 ) 62.217.É

( 8 ) 56.121.É

( 9 ) 9.282.1É

(10) 7.931.É

(11) 1.953.8É

(12) 2.784.1É

(13) 87.827.É

(14) 96.625.É

(15) 9.289.5É

A N S W E R K E Y

20.4

‰ …‡

4.55

21.3 6.51

‹ …‹

7.97

… …†

55.1 35.1 7.18

› …„

75.9

Œ ……

8.05

› …†

8.58

60.8 71.6

‹ …†

.77

3.58

answer key - charles armstrong school · answer key a. 4,560,000 what place is the underlined digit...

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