1. Explain how you know that the quotient 0.72 = 0.08 is equal to the quotient 72 = 8.

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the values:

0.72 = 0.08

72 = 8

Explanation:

Both values are divided by a common divisor since they both yield the same quotient, but with different decimal places. In order to determine the divisor, we simply need to think of the number, that when multiplied by 8, the answer is 72, and when multiplied by 0.08, the answer is 0.72. 

The number that satisfies the condition is 9, since,

72/9 = 8

0.72/9 = 0.08

Final answer:

The missing number for both values is 9