multiplication and division

Multiplication and

Division

By M.Veerasakdi.By M.Veerasakdi.By M.Veerasakdi.By M.Veerasakdi.

• Objectives:• At the end of the lesson, the students will be

able to:• multiply 3-digit numbers by 2-digit number;• analyze and solve word problems involving

multiplication;• answer the exercises accurately.

Chapter 2 Chapter 2 Chapter 2 Chapter 2 Multiplication and Multiplication and

DivisionDivisionMultiplication and Multiplication and

DivisionDivision1.Multiplication = to repeat the same addition numbers

2. Properties of Multiplication = quality of multiplication

3.Multiplicand = a number to be multiplied by another number

4.Multiplier = the number by which another number is multiplied

5. Product = the result of multiplication

6.Division = the process of dividing one number by another

7.Dividend = a number to be divided by another

8.Divisor = a number used to divide another

9.Quotient = the result of division 10.Remainder = number left over  11. Word problems = mathematics exercise expression  

2 7 2x 1 3

612

80272+

3 5 3 63 5 3 6

Finished!Finished!

6 2 4x 3 7

862

4 30271 8+

2 3 0 8 82 3 0 8 8

Finished!Finished! 11

5 8 2x 7 5

011

2 90474 0+

4 3 6 5 04 3 6 5 0

Finished!Finished! 415

Wrap upWrap upWrap upWrap up

1) 0 2) 19 3) 0

4) 0 5) 1 6) 38

7) 1 8) 9 9) 230

10) 4,600 11) 10 12) 2,400

13) 2,400 14) 10 15) 16,100

1) 0 2) 19 3) 0

4) 0 5) 1 6) 38

7) 1 8) 9 9) 230

10) 4,600 11) 10 12) 2,400

13) 2,400 14) 10 15) 16,100

Page 22Page 22Page 22Page 22

Properties of multiplicationProperties of multiplicationProperties of multiplicationProperties of multiplication Page 23Page 23Page 23Page 23

1. Find the following…1. Find the following… a) 5 x 7 = 35 b) 6 x 12 = a) 5 x 7 = 35 b) 6 x 12 = 72 72 c) 24 x 5 = c) 24 x 5 = 120120

7 x 5 = 35 12 x 6 =7 x 5 = 35 12 x 6 = 7272 5 x 24 = 5 x 24 = 120120

2. Find in the blank space…2. Find in the blank space… a) ( 2 x 3 ) x 4 = a) ( 2 x 3 ) x 4 = 66 x 4 = x 4 = 2424 b) ( 4 x 5) x 8 = b) ( 4 x 5) x 8 = 2020 x x 88 x = x = 160160

2 x ( 3 x 4 ) = 2 x 2 x ( 3 x 4 ) = 2 x 1212 = = 2424 4 x ( 5 x 8 ) = 4 x ( 5 x 8 ) = 44 x x 4040 = = 160160

Page 23-24Page 23-24Page 23-24Page 23-24

3. Make each of the following …3. Make each of the following … a) 6 x 1 = a) 6 x 1 = 66 = 1 x 6 b) 10 x 1 = = 1 x 6 b) 10 x 1 = 1010 = 1 x = 1 x 1010

c) 15 x 1 = 15 = 1 x c) 15 x 1 = 15 = 1 x 1515 d) 20 x d) 20 x 11 = 20 = 1 x = 20 = 1 x 2020

Exercise 2.1Exercise 2.1

A.A. Fill in the blanks using….Fill in the blanks using…. 11.. 1 2. 0 3. 0 4. 20 5. 1 1 2. 0 3. 0 4. 20 5. 1

6. 520 7. 68 8. 7,200 9. 1 10. 06. 520 7. 68 8. 7,200 9. 1 10. 0

Page 24-25Page 24-25Page 24-25Page 24-25

Exercise 2.2Exercise 2.2

A.A. Find the product…Find the product… 11.. 3,500 2. 3,689 3,500 2. 3,689

3. 37,660 4. 37,112 3. 37,660 4. 37,112

5. 7,974 6. 86,4725. 7,974 6. 86,472

7. 23,795 8. 51,8287. 23,795 8. 51,828

9. 77,024 10. 237,7929. 77,024 10. 237,792

Page 27Page 27Page 27Page 27Exercise 2.3Exercise 2.3

A.A. Complete the following……Complete the following…… 1. 14,000 6. 726,000 1. 14,000 6. 726,000

2. 48,000 7. 119,000 2. 48,000 7. 119,000

3. 2,135,000 8. 248,0003. 2,135,000 8. 248,000

4. 216,000 9. 621,0004. 216,000 9. 621,000

5. 25,000 10. 20,0005. 25,000 10. 20,000

B. See how quickly you canB. See how quickly you can 1. 7,840 2. 78,4000 3. 156,800 1. 7,840 2. 78,4000 3. 156,800

4. 3,920,000 5. 7,300 6. 7,30004. 3,920,000 5. 7,300 6. 7,3000

7. 292,000 8. 328,5000 9. 40,8007. 292,000 8. 328,5000 9. 40,800

10. 40,800 11. 81,600 12. 952,000 10. 40,800 11. 81,600 12. 952,000

Exercise 2.3Exercise 2.3 Page 27Page 27Page 27Page 27

B. Fill in the box with the correct number.B. Fill in the box with the correct number. 1. 11,718 2. 64,108 1. 11,718 2. 64,108

3. 28,035 4. 44,8503. 28,035 4. 44,850

Exercise 2.4Exercise 2.4 Page 28Page 28

1. 29,248 2. 16,569 3. 31,520 4. 65,0521. 29,248 2. 16,569 3. 31,520 4. 65,052

5. 10,848 6. 37,002 7. 26,640 8. 55,2005. 10,848 6. 37,002 7. 26,640 8. 55,200

9. 25,912 10. 72,072 11. 19,530 12. 11,950 9. 25,912 10. 72,072 11. 19,530 12. 11,950

Exercise 2.5Exercise 2.5

Exercise 2.6Exercise 2.6

B. Find the following products.

1) 19,350 2) 33,004 3) 32,984

4) 39,339 5) 23,478 6) 9,828

7) 8,568 8) 41,595

1. 285 x 65 =

Answer : 18,525 ฿

2. 257 x 52 =

Answer : 13,364 ฿ 3. 568 x 97 =

Answer : 55,096 tins.

4. 520 x 55 =

Answer : 28,600 ฿

5. 260 x 85 =

Answer : 22,100 pages

6. 350 x 90 =

Answer : 31,500 ฿

Objectives:At the end of the lesson, the students will be able to:•determine the quotient of a whole number by a 1-digit number without remainder; •calculate the quotient of a whole number by 10;•analyze and solve 3-step word problems involving division;•answer the problems accurately and diligently.

Long Division StepsLong Division Steps

• DAD (Divide)DAD (Divide)

• MOM (Multiply)MOM (Multiply)

• SISTER (Subtract)SISTER (Subtract)

• BROTHER (Bring Down)BROTHER (Bring Down)

• ROVER (Repeat/Remainder)ROVER (Repeat/Remainder)

This is a sample This is a sample long division problemlong division problem

6 8 9 21 4 8 r 4

-62 9

-2 45 2

-4 84

QuotientQuotient

DivisorDivisor

DividendDividend

Answer

Number doing the dividing.

Number being divided

DAD (divide)DAD (divide)

6 8 9 21 4 8 r 4

-62 9

-2 45 2

-4 84

DadMomSisterBrotherRover

1.Divide 8 by 6

2. 6goes into 8 once, so put 1 above the 8.

3.6 goes into 29 4 times.

4. 6 goes into 52 8 times.

MOM (multiply)MOM (multiply)

6 8 9 21 4 8 r 4

-62 9

-2 45 2

-4 84

DadMomSisterBrotherRover

1. After you divide 6 into 8 one time, you will multiple 1 x 6 and write it under the 8.

2. You will do this step after each time you divide.

SISTER (subtract)SISTER (subtract)

6 8 9 21 4 8 r 4

-62 9

-2 45 2

-4 84

DadMomSisterBrotherRover

1. After you multiply 1 x 6 you will subtract 8 - 6 which equals 2.

2. After each time you multiply, you will subtract the two numbers.

BROTHER (bring down)BROTHER (bring down)

6 8 9 21 4 8 r 4

-62 9

-2 45 2

-4 84

DadMomSisterBrotherRover

1. After subtracting, you need to look back to the dividend to see if there are more numbers to bring down. If so move the number next to the subtracted number.

ROVER (repeat/remainder)ROVER (repeat/remainder)

6 8 9 21 4 8 r 4

-62 9

-2 45 2

-4 84

DadMomSisterBrotherRover

1. After you Divide, Multiply, Subtract, and Bring Down, you start the process over until there are no more numbers to bring down.

2. If there is a number other then ‘0’ after the last time you subtract, that number becomes your remainder.

Reflection

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