Question

If you divide a positive number that is larger than 36 by a positive number that is less than 9, what can you definitely say about the relative value of the quotient?

It must be equal to 5

It must be greater than 4

It must be between 9 and 36

It must be less than 4

Answer 1

If you divide a positive number that is larger than 36 by a positive number that is less than 9, you can definitely say that the quotient must be greater than 4.

This is because dividing a number that is larger than 36 by a number that is less than 9 will result in a quotient that is greater than 4. For example, if we divide 40 by 8, we get a quotient of 5. If we divide 50 by 7, we get a quotient of approximately 7.14, which is greater than 4.

Therefore, the correct answer is: It must be greater than 4.

Answer 2

It must be greater than 4

Explanation:

We know that 36 ÷ 9 = 4.

Therefore, if the denominator is less than 9 and the numerator is greater than 36, the quotient would only increase since the numerator increases while the denominator decreases.

Therefore, it must be greater than 4.