My Homework Lesson 9 Estimate Quotients Answers

How to Estimate Quotients in Math Homework: Lesson 9

Estimating quotients is a useful skill that can help you solve division problems quickly and easily. Estimating quotients can also help you check your answers and see if they are reasonable. In this article, we will show you how to estimate quotients using compatible numbers, rounding, and other strategies. We will also provide some examples and practice problems from McGraw Hill My Math Grade 5 Chapter 6 Lesson 9.

What are Quotients

A quotient is the answer to a division problem. For example, in the division problem 12 Ã 3 = 4, the quotient is 4. To find the quotient of two numbers, you can use different methods such as long division, repeated subtraction, or fact families. However, sometimes you may not need to find the exact quotient of two numbers. You may only need to find an approximate answer that is close enough to the actual answer. This is where estimating quotients comes in handy.

What are Compatible Numbers

Compatible numbers are numbers that are easy to compute mentally. Compatible numbers are often multiples of 10, 100, or 1000, or numbers that end in zero. For example, 20, 50, and 100 are compatible numbers. Compatible numbers can help you estimate quotients by making the division problem simpler and easier to solve. For example, if you want to estimate the quotient of 19.50 Ã 5, you can use compatible numbers such as 20 and 5. Since 20 Ã 5 = 4, you can estimate that the quotient of 19.50 Ã 5 is about 4.

How to Estimate Quotients by Rounding

Rounding is another way to estimate quotients by making the numbers simpler and easier to work with. Rounding means changing a number to the nearest multiple of 10, 100, or any other place value. For example, if you want to round 47.25 to the nearest tenth, you can change it to 50. To estimate quotients by rounding, you can round both the dividend and the divisor to the nearest multiple of 10 or any other place value that makes sense for the problem. For example, if you want to estimate the quotient of 44.7 Ã 5, you can round both numbers to the nearest whole number: 45 Ã 5 = 9. So you can estimate that the quotient of 44.7 Ã 5 is about 9.

Examples and Practice Problems

Here are some examples and practice problems from McGraw Hill My Math Grade 5 Chapter 6 Lesson 9 on how to estimate quotients using compatible numbers and rounding. You can find more examples and practice problems on CCSS Math Answers.

Example 1

Ms. Glover buys 2 kites for a total of $15.18. If each kite costs the same, about how much did each kite cost Explain why your answer is reasonable.

Solution:

To estimate the cost of each kite, we can use compatible numbers such as $15 and $2.

$15 Ã $2 = $7.50

We can estimate that each kite costs about $7.50.

To check if our answer is reasonable, we can multiply $7.50 by $2 and see if it is close to $15.18.

$7.50 x $2 = $15

$15 is close to $15.18, so our answer is reasonable.

Example 2

Three friends went out to dinner. The total cost of their meals was $32.57. If the friends split the bill evenly, about how much will each person pay Explain why your answer is reasonable.

Solution:

To estimate how much each person will pay ec8f644aee