Estimate Quotients Using Compatible Numbers Lesson 4.5 Answer Key

Estimating quotients using compatible numbers is an important skill for students to learn. Compatible numbers are numbers that are close together and can be easily used to estimate a quotient. This lesson teaches students how to estimate quotients by using compatible numbers. The answer key for this lesson is provided in this article.

The first step in estimating quotients using compatible numbers is to identify two numbers that are compatible. Compatible numbers are close together and can be easily divided. For example, if you want to divide 958 by 4, you could choose two compatible numbers like 900 and 1000. You would then divide the two compatible numbers and get an approximate answer.

The second step is to use the compatible numbers to estimate the quotient. In the example above, you would divide 900 by 4 and get 225. You would then divide 1000 by 4 and get 250. The approximate answer for 958 divided by 4 would be 237.5, which is between 225 and 250.

The third step is to check the estimate using the exact answer. To do this, divide 958 by 4 using the exact answer. The exact answer is 239.5, which is very close to the estimated answer of 237.5. This shows that the estimate was correct.

Finally, students can use the answer key to check their work. The answer key for this lesson is provided below. The answer key shows the exact answer for each problem as well as the estimated answer. It also provides hints and tips for students to help them with their work.

Answer Key

Answer Key

Problem 1: 958 ÷ 4 = 239.5 (estimate: 237.5)

Problem 2: 925 ÷ 5 = 185 (estimate: 190)

Problem 3: 706 ÷ 3 = 235.3 (estimate: 230)

Problem 4: 668 ÷ 4 = 167 (estimate: 170)

Problem 5: 556 ÷ 7 = 79.4 (estimate: 80)



Estimating quotients using compatible numbers is an important skill for students to learn. By using compatible numbers, students can get an approximate answer to a problem without doing any calculations. The answer key provided in this article can be used to check the students’ work and ensure they are getting the correct answer.