Question

How could you decide which quotient is greater, 127.34 divided by 0.673 or 127.34 divided by 0.671, without doing the division? Explain your thinking.

Answer 1

To determine which quotient is greater without division, compare the divisors; a smaller divisor yields a larger quotient, hence 127.34/0.671 is greater than 127.34/0.673.

Step-by-step explanation:

To decide which quotient is greater without doing the actual division, we can use the concept of inverse relationships in division. When dividing a number by a smaller divisor, the quotient will be larger, and conversely, when dividing by a larger divisor, the quotient will be smaller. Since 0.673 is greater than 0.671, the quotient for 127.34 divided by 0.673 will be smaller than the quotient for 127.34 divided by 0.671. This is because the divisor in the first case is slightly larger, which will result in a slightly smaller result.