How do you estimate the quotient answer?

To estimate quotients in a division question, divide by multiples of different numbers . To get the quotient, we must first examine the first two or more digits of the dividend based on the divisor and then use the fundamental division facts.

Which is the quotient answer?

The number we obtain when we divide one number by another is the quotient. For example, in 8 ÷ 4 = 2; here, the result of the division is 2, so it is the quotient.

How do you find the answer to an estimate?

The general rule for estimating is to look at the digit to the right of the digit you want to estimate . Estimating or rounding to the nearest whole number means looking at the digit to the right of the decimal. If you see a digit greater than 5, round up, and if it's less than 5, round down.

How do you solve quotients?

Lesson Summary. The quotient of a division problem is found by dividing the dividend by the divisor . This may be done through repeated subtraction or long division. It is possible to find the quotient of two integers, two fractions, or two algebraic terms.

What is the quotient formula?

The quotient is obtained after the process of division is completed. This means when a divisor divides a dividend, the answer that we get is the quotient. In other words, the quotient can be found using the formula, Dividend ÷ Divisor = Quotient . Let us understand this by a simple example of 12 ÷ 4 = 3.

How to solve estimate division?

Sample Round the divisor to the nearest 10 or 100, depending on how many digits are in the divisor. ... Round the dividend to the nearest 10, 100, or 1,000 so that all of the digits, except the first one are zeros. ... Divide 600 by 30. ... Compare your estimate to the exact answer to determine if the exact answer is reasonable.

How do you estimate the answer of division?

Sample Round the divisor to the nearest 10 or 100, depending on how many digits are in the divisor. ... Round the dividend to the nearest 10, 100, or 1,000 so that all of the digits, except the first one are zeros. ... Divide 600 by 30. ... Compare your estimate to the exact answer to determine if the exact answer is reasonable.

What is the estimate of the quotient 67 4?

The result of division of 67÷4 67 ÷ 4 is 16 with a remainder of 3 .

How do you estimate each product or quotient?

Students learn to estimate a product or quotient by first rounding each number to one non-zero digit . For example, to estimate 8,291 x 27, first round 8,291 down to 8,000, and round 27 up to 30, then multiply 8,000 x 30 to get 240,000.

How is the quotient calculated?

A quotient is the result of division. The number above the line (the dividend) is divided by the number below the line (the divisor), and the answer is the quotient . For example, in the problem 12 ÷ 3 = 4, 12 is the dividend, 3 is the divisor, and 4 is the quotient.

McGraw Hill My Math Grade 5 Chapter 3 Lesson 5 Answer Key Estimate Quotients (2024)

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 5 Estimate Quotientswill give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 3 Lesson 5 Estimate Quotients

Math in My World

Example 1
A dog’s heart beats 365 times in 3 minutes. About how many times does a dog’s heart beat in 1 minute?

Estimate 365 ÷ 3.

1. Change 365 to 360 because 365 ÷ 3
360 and 3 are compatible numbers.

2. Divide mentally.
So, a dog’s heart beats about ____ times a minute.
Check Multiply to check your answer.
____ × 3 = ____

You can use both rounding and compatible numbers to help estimate.
Answer:
120 times.
Explanation:
Change 365 to 360, because 365 ÷ 3
360 and 3 are compatible numbers.
Divide mentally.
360 ÷ 3 = 120
So, a dog’s heart beats about 120 times a minute.
Check Multiply to check your answer.
120 × 3 = 360

Example 2
Estimate 208 ÷ 8.
1. Round the dividend to the nearest hundred.
2. Change the divisor to a number that is compatible with the rounded dividend.
3. Divide mentally. ____
So, 208 ÷ 8 is about ____.

Answer:

Explanation:
Estimate 208 ÷ 8.
Round the dividend to the nearest hundred as 200.
Change the divisor to a number that is compatible with the rounded dividend as 10.
Divide mentally. 200 ÷ 10 = 20
So, 208 ÷ 8 is about 20.

Guided Practice

Question 1.
Estimate 850 ÷ 9.
Change 850 to 900 because 900 and 9 are compatible numbers.

Divide mentally.
So, 850 ÷ 9 is about _____.
Answer:

Explanation:
Estimate 850 ÷ 9.
Change 850 to 900 because 900 and 9 are compatible numbers.
850 ÷ 9 = 94.4
900 ÷ 9 = 90
Divide mentally.
So, 850 ÷ 9 is about 100.

Talk Math
Explain how you could use compatible numbers to estimate 272 ÷ 4.

Answer:
75
Explanation:
Estimate 272 ÷ 4.
Change 272 to 300 because 300 and 4 are compatible numbers.
272 ÷ 4 = 68
300 ÷ 4 = 75
Divide mentally.
So, 272 ÷ 4 is about 75.

Question 12.
350 ÷ 8
_______
Answer:

Explanation:
Estimate 350 ÷ 8.
Round the dividend to the nearest hundred as 400.
Divide mentally. 400 ÷ 8 = 50
So, 350 ÷ 8 is about 50.

Question 13.
584 ÷ 6
_______
Answer:

Explanation:
Estimate 584 ÷ 6
Round the dividend to the nearest hundred as 600.
Divide mentally. 600 ÷ 6 = 100
So, 584 ÷ 6 is about 100.

Problem Solving

Question 14.
Mathematical PRACTICE 5 Use Math Tools A grocery store employee puts 8 bagels in each bag. If she has 385 bagels, about how many bags does she need?

Answer:
50 bags.
Explanation:
A grocery store employee puts 8 bagels in each bag.
If she has 385 bagels,
Number of bags she need 385 ÷ 8 = 48.125
Estimate 385 ÷ 8
Round the dividend to the nearest hundred as 400.
Divide mentally. 400 ÷ 8 = 50
So, 385 ÷ 8 is about 50.

Question 15.
A student E-mail to troops contained 250 characters. The 4-line E-mail contained the same number of characters on each line. About how many characters were on each line? Show how you estimated.
Answer:
60 characters.
Explanation:
A student E-mail to troops contained 250 characters.
The 4-line E-mail contained the same number of characters on each line.
Number of characters were on each line,
250 ÷ 4 = 62.5
So, 250 ÷ 4 is about 60.

Question 16.
Jani drives 290 miles in 5 hours. About how many miles does she drive each hour?
Answer:
60 miles.
Explanation:
Jani drives 290 miles in 5 hours.
Number of miles does she drive each hour,
Estimate 290 ÷ 5
Round the dividend to the nearest hundred as 300.
Divide mentally. 300 ÷ 5 = 60
So, 290 ÷ 5 is about 60.

Hot Problems

Question 17.
Mathematical PRACTICE 2 Use Number Sense Write a division problem. Show two different ways that you can estimate the quotient using compatible numbers.
Answer:
James types 98 words in 7 minutes. About how many words does he type in one minute?
Explanation:
Estimate 98 ÷ 7
Round the dividend to the nearest hundred as 100.
Change the divisor to a number that is compatible with the rounded dividend as 10.
So, 100 and 10 are compatible numbers.
Divide mentally. 100 ÷ 10 = 10
So, 98 ÷ 7 is about 10.

Question 18.
? Building on the Essential Question Why is it important to know how to estimate quotients?
Answer:
Estimation is used to compare the estimated quotient with the exact value of the quotient.
We can determine if an answer to a division problem is reasonable or not easily.
Explanation:
To estimate the quotient, we first round off the divisor and the dividend to the nearest tens, hundreds, or thousands and then divide the rounded numbers.
In a division sum, when the divisor is made up of 2 digits or more than 2 digits,
it helps to estimate the quotient and then try to find the actual number.

McGraw Hill My Math Grade 5 Chapter 3 Lesson 5 My Homework Answer Key

Practice

Estimate. Show how you estimated.

Question 1.
115 ÷ 2
Answer:
60
Explanation:
Estimate 115 ÷ 2
Round the dividend to the nearest hundred as 120.
Divide mentally. 120 ÷ 2 = 60
So, 115 ÷ 2 is about 60.

Question 2.
791 ÷ 2
Answer:
400
Explanation:
Estimate 791 ÷ 2
Round the dividend to the nearest hundred as 800.
Divide mentally. 800 ÷ 2 = 400
So, 791 ÷ 2 is about 400.

Question 3.
151 ÷ 3
Answer:
50
Explanation:
Estimate 151 ÷ 3
Round the dividend to the nearest hundred as 150.
Divide mentally. 150 ÷ 3 = 50
So, 151 ÷ 3 is about 50.

Question 4.
460 ÷ 9
Answer:
50
Explanation:
Estimate 460 ÷ 9
Round the dividend to the nearest hundred as 500.
Change the divisor to a number that is compatible with the rounded dividend as 10.
Divide mentally. 500 ÷ 10 = 50
So, 460 ÷ 9 is about 50.

Question 5.
477 ÷ 7
Answer:
50
Explanation:
Estimate 477 ÷ 7
Round the dividend to the nearest hundred as 500.
Change the divisor to a number that is compatible with the rounded dividend as 10.
Divide mentally. 500 ÷ 10 = 50
So, 477 ÷ 7 is about 50.

Question 6.
392 ÷ 9
Answer:
40
Explanation:
Estimate 392 ÷ 9
Round the dividend to the nearest hundred as 400.
Change the divisor to a number that is compatible with the rounded dividend as 10.
Divide mentally. 400 ÷ 10 = 40
So, 392 ÷ 9 is about 40.

Problem Solving

Question 7.
The table shows how much each fifth grade room earned from a bake sale. The money is going to be given to 6 different charities. If each charity is given an equal amount, about how much will each charity receive? Show how you estimated.

Answer:
$300.
Explanation:
Earnings of 110 room = $327
Earnings of 112 room = $425
Earnings of 114 room = $550
Earnings of 116 room = $486
Total earnings of all rooms = $327 + $425 + $550 + $486 = $1788
So, to get equal amount for each charity we need to divide it by 6.
Estimate $1788 ÷ 6
Round the dividend to the nearest hundred as 1800.
Divide mentally. 1800 ÷ 6 = 300
So, 1788 ÷ 6 is about 300.

Question 8.
There were 317 marbles divided equally among 8 bowls. About how many marbles were in each bowl?
Answer:
40 marbles.
Explanation:
There were 317 marbles divided equally among 8 bowls.
Number of marbles were in each bowl,
Estimate 317 ÷ 8
Round the dividend to the nearest hundred as 320.
Divide mentally. 320 ÷ 8 = 40
So, 317 ÷ 8 is about 40.

Question 9.
Mathematical PRACTICE 5 Use Math Tools Emilio has 5 bags of birdseed. Each bag has about 28 ounces of birdseed. If he divides the birdseed equally into 3 containers, about how much birdseed will he put in each container?
Answer:
50 ounce of birdseed.
Explanation:
Emilio has 5 bags of birdseed.
Each bag has about 28 ounces of birdseed.
5 x 28 = 140 ounces.
If he divides the birdseed equally into 3 containers,
about how much birdseed will he put in each container.
Estimate 140 ÷ 3
Round the dividend to the nearest hundred as 150.
Divide mentally. 150 ÷ 3 = 50
So, 140 ÷ 3 is about 50.

Test Practice

Question 10.
Which of the following is the most reasonable estimate for the number of Calories in one serving of milk?
A. between 8 and 9
B. less than 80
C. between 80 and 90
D. more than 90

Answer:
Option(C)
Explanation:
Servings of 5 milk contains 430 calories.
The number of Calories in one serving of milk,
430 ÷ 5 = 86 calories.

McGraw Hill My Math Grade 5 Chapter 3 Lesson 5 Answer Key Estimate Quotients (2024)

McGraw-Hill My Math Grade 5 Answer Key Chapter 3 Lesson 5 Estimate Quotients

McGraw Hill My Math Grade 5 Chapter 3 Lesson 5 My Homework Answer Key

FAQs

How do you estimate the quotient answer? ›

References