6th Grade Math Textbook, Fundamentals

Lesson 14-5 for exercise sets. &KDSWHU 

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Use algebra tiles to multiply or divide.

1. 2 x(5x) 2. 6 x• 3x 3. 4.

Multiply or divide algebraically.

5.( 2 y)(3y^4 ) 6.m• m^5 7. 8.

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

12 x^3 y^6 ? • 3x^2 y^4. Explain how you found your answer.

100 p^4

10 p

59 r^3

59 r

8 x^2

4 x

12 x^2

4 x

You can use division of a monomial to find missing dimensions.

Suppose that Angela is working on a different poster. This poster will

have an area of 10x^2 square meters and a width of 2xmeters. What will

the length of this poster be?

To find the length of the poster, divide:

You can use algebra tiles to model the division of monomials such as.

Form a rectangle with a width of 2xusing ten x^2 tiles.

10 x^2

2 x

10 x^2

2 x

Identify the length of the rectangle.

5 x represents the length.

So  5 x.

To solve the same problem algebraically, you can

also divide the two monomials by dividing the

coefficients and dividing the variables. Be sure to

use the appropriate Laws of Exponents.

 • Divide coefficients; divide variables.

 5 x(2 1) Apply the Law of Exponents for Division.

 5 x^1  5 x Simplify.

So the length of Angela’s poster is 5x meters.

x^2

x

10

2

10 x^2

2 x

10 x^2

2 x

Remember:

Law of Exponents for Division

amana am n

m

an

?

2 x

xxxxx

x

x

x^2 x^2 x^2 x^2 x^2

x^2 x^2 x^2 x^2 x^2