6th Grade Math Textbook, Fundamentals

Lesson 14-7 for exercise sets. &KDSWHU 

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Find the quotient, and write it in standard form.

Check by multiplication.

1.(12x4)  4 2.(28y^2  14 y)  7 y 3. 4.

5.(14r 21 r^2 )  7 r 6. 7. 8.

9.Discuss and Write Find the binomial to complete the statement

8 a^6  64 a^3 ? (8a^3 ). Explain how you found your answer.

 12 x^2  9 x^7  3 x^5

 3 x

14 m^2  12 m 2 m

 2 m

9 a 18 a

3 a

18 n 3 n 6 n^2

3 n

4 b^2  7 b

b

Divide:(4m^3  2 m^2  8 m)  2 m

 (4m^3  2 m^2  8 m) Rewrite as multiplication.

 Apply the Distributive Property.

 •  •  •

 2 m^3 ^1  1 m^2 ^1  4 m^1 ^1 Apply the Law of Exponents for Division.

 2 m^2 m 4 Simplify.

Check: 2 m(2m^2 m4) 4m^3  2 m^2  8 m

2 m•2m^2  2 m• m 2 m• 4 4 m^3  2 m^2  8 m

4 m^3  2 m^2  8 m  4 m^3  2 m^2  8 m Tr u e

?

?

m

m

8

2

m^2

m

2

2

m^3

m

4

2

8 m

2 m

2 m^2

2 m

4 m^3

2 m

1

2 m

4 m^3  2 m^2  8 m

2 m

First divide the coefficients, then divide

the variables in each term.

1

Divide:(9a^4  12 a^3  3 a^2 )  3 a^2

 (9a^4  12 a^3  3 a^2 ) Rewrite as multiplication.

  Apply the Distributive Property.

 •  •  •

 3 a^4 ^2  4 a^3 ^2  1 a^2 ^2 Apply the Law of Exponents for Division.

 3 a^2  4 a 1 Simplify.

Check: 3 a^2 (3a^2  4 a1) 9a^4  12 a^3  3 a^2

3 a^2 •3a^2  3 a^2 • 4a 3 a^2 • 1 9 a^4  12 a^3  3 a^2

9 a^4  12 a^3  3 a^2  9 a^4  12 a^3  3 a^2 Tr u e

?

a^2

a^2

a^3

a^2

?

First divide the coefficients, then divide

the variables in each term.

3

3

12

3

a^4

a^2

9

3

3 a^2

3 a^2

12 a^3

3 a^2

9 a^4

3 a^2

1

3 a^2

9 a^4  12 a^3  3 a^2

3 a^2

2

Remember:

Divisor • Quotient Dividend