Question

Edwin wants to create a division expression using the dividend 3,582. Determine a divisor for which compatible numbers will lead to an estimate that will likely be closer to the actual quotient.

Answer 1

To estimate a quotient closely, a divisor should create compatible numbers with the dividend 3,582, which are easy to mentally divide. Options like 350 or round numbers such as 100 can be efficient choices for better estimates.

Step-by-step explanation:

To estimate a quotient that is closer to the actual result when dividing 3,582, we need to choose a divisor that creates compatible numbers with the dividend.

Compatible numbers are numbers that are easy to divide mentally. A good strategy is to pick a divisor that either is a factor of 3,582 or is close to a number that can be easily divided by 3,582.

For example, if we choose 350 as the divisor, we already know that 3,500 divided by 350 is 10, so the estimate would be slightly higher than 10 because 3,582 is slightly higher than 3,500.

Another approach is to use round numbers as divisors, like 100 or 1,000. For instance, 3,582 is close to 3,600, and when divided by 100, the estimate would be 36, which is very close to the actual quotient.