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Envision Math 2.0: Grade 6, Volume 2

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Envision Math 2.0: Grade 6, Volume 2 View details

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Exercise 11 Page 333

First, rewrite the decimal as a fraction and simplify it as much as possible.

22.5

Practice makes perfect

To find the product, let's first rewrite the decimal as a fraction and simplify it as much as possible.

18 * 1.25

Write as a fraction

18 * 125/100

a/b=.a /25./.b /25.

18 * 125÷ 25/100÷ 25

Calculate quotient

18 * 5/4

Next, we will move the left factor to the numerator and multiply. Then, let's simplify the result.

18 * 5/4

MoveLeftFacToNum

a*b/c= a* b/c

18 * 5/4

Multiply

90/4

a/b=.a /2./.b /2.

90 ÷ 2/4 ÷ 2

Calculate quotient

45/2

Finally, notice that if we multiply the 2 in the denominator by 5, it will become 10. This will allow us to write the fraction as a decimal. So, let's multiply both the numerator and the denominator by 5 — that way the value will not change.

45/2

a/b=a * 5/b * 5

45 * 5/2 * 5

Multiply

225/10

Write as a decimal

22.5

The product of 18 and 1.25 is 22.5.