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Envision Math 2.0: Grade 6, Volume 1

EM

Envision Math 2.0: Grade 6, Volume 1 View details

4. Understand Division With Fractions

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Exercise 8 Page 34

The product of a number and its reciprocal is 1.

6

Practice makes perfect

The product of any nonzero real number and its reciprocal is 1. x*1/x=1The reciprocal of a fraction is the inverse of that fraction. x/y*y/x=1 This means that the reciprocal of 16 is 61. Let's check that this is true by calculating the product.

1/6* 6/1? =1

Multiply fractions

1* 6/6* 1? =1

Identity Property of Multiplication

6/6? =1

a/a=1

1=1 ✓

The product of these two fractions is equal to 1 so we can be sure that 61 is a reciprocal of 16. Notice that we can also rewrite 61 as a number 6.

Subchapter links

Do You Understand? p.34

Do You Know How? p.34

Assessment Practice p.36