All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 6 Lesson 2 Estimate Quotients will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 6 Lesson 2 Estimate Quotients
Math in My World
Example 1
Circuses have been around for more than 200 years. They sometimes travel by train. Suppose a circus travels 642 miles in 8 hours. Estimate the quotient of 642 and 8 to find about how many miles per the train travels.
So, the train is traveling about _____ miles per hour.
Estimate 642 ÷ 8
Answer:
The train is traveling about 80 miles per hour.
Explanation:
Helpful Hint
64 and 8 are members of a fact family.
8 × 8 = 64
64 ÷ 8 = 8
Example 2
Isabella has 6 tea sets in her collection. The collection is worth $1,168. Each tea set is worth the same amount of money. About how much is each tea set worth?
You need to estimate $1,168 ÷ 6.
One Way Use compatible numbers.
Answer:
Helpful Hint
12 ÷ 6 = 2, so 1,200 ÷ 6 = 200
Another Way Use a basic fact and place value.
$1,168 ÷ 6 ← What basic multiplication fact is close to the numbers in the problem?
6 × 2 = 12
6 × 20 = 120
6 × ___ = 1,200
So, each tea set is worth about _____.
Answer:
Each tea set is worth about 200.
Explanation:
$1,168 ÷ 6
6 × 2 = 12
6 × 20 = 120
6 × 200 = 1,200
So, each tea set is worth about 200.
Check
Use multiplication to check division.
Answer:
Talk Math
Explain how to estimate $4,782 ÷ 6.
Answer:
The answer is $800.
Explanation:
Guided Practice
Question 1.
Estimate. Check your estimate using multiplication.
161 ÷ 4
____ ÷ ____ = ____
Check: ____ × ____ = _____
Answer:
The estimated answer is 40.
Explanation:
Given,
161 ÷ 4
160 ÷ 4 = 40
Check: 40 × 4 = 160
McGraw Hill My Math Grade 4 Chapter 6 Lesson 2 My Homework Answer Key
Practice
Estimate. Check your estimates using multiplication.
Question 1.
184 ÷ 9
Answer:
The estimated division is 20.
Explanation:
Let us estimate the dividend has 180 which is divided by 9.
Hence the estimated answer is 20
Question 2.
$149 ÷ 5
Answer:
The estimated division is 30.
Explanation:
Let us estimate the dividend has 150 which is divided by 5.
Hence the estimated answer is 30.
Question 3.
241 ÷ 8
Answer:
The estimated division is 30.
Explanation:
Let us estimate the dividend has 240 which is divided by 8.
Hence the estimated answer is 30.
Question 4.
$422 ÷ 6
Answer:
The estimated division is $70.
Explanation:
Let us estimate the dividend has 420 which is divided by 6.
Hence the estimated answer is 70.
Question 5.
637 ÷ 8
Answer:
The estimated division is 80.
Explanation:
Let us estimate the dividend has 640 which is divided by 8.
Hence the estimated answer is 80.
Question 6.
$3,611 ÷ 6
Answer:
The estimated division is $600.
Explanation:
Let us estimate the dividend has 3600 which is divided by 6.
Hence the estimated answer is $600.
Question 7.
1,175 ÷ 4
Answer:
The estimated division is 300.
Explanation:
Let us estimate the dividend has 1200 which is divided by 4.
Hence the estimated answer is 30.
Question 8.
5,421 ÷ 9
Answer:
The estimated division is 600.
Explanation:
Let us estimate the dividend has 5400 which is divided by 9.
Hence the estimated answer is 600.
Question 9.
$2,782 ÷ 7
Answer:
The estimated division is 400.
Explanation:
Let us estimate the dividend has 2800 which is divided by 7.
Hence the estimated answer is 400.
Algebra Use mental math to find an estimate of the unknown number.
Question 10.
8,122 ÷ 9 = d
d is about _____
Answer:
d is about 900.
Explanation:
Given,
8,122 ÷ 9 = d
d = 900
Question 11.
3,030 ÷ m = 600
m is about _____
Answer:
m is about 5.
Explanation:
Given,
3,030 ÷ m = 600
3030 ÷ 600 = m
m = 3000 ÷ 600
m = 5
Question 12.
4,883 ÷ 7 = h
h is about _____
Answer:
h is about 700.
Explanation:
Given,
4,883 ÷ 7 = h
4900 ÷ 7 = h
h = 900
Problem Solving
Estimate. Check your estimates using multiplication.
Question 13.
Mathematical PRACTICE 4 Model Math In August, 2,760 people attended concerts at Cooper Arena. About the same number of people went to see each of the 5 concerts. About how many people attended each concert?
Answer:
There are around 600 people attended each concert.
Explanation:
Given,
There are 2760 people who attended concerts at cooper Arena.
let us assume there are around 3000 people who attended concerts at cooper Arena.
3000 ÷ 5 = 600 people attended each concert.
Question 14.
A mosaic at the art museum is divided into 6 sections that each contain about the same number of tiles. There are 2,889 tiles total in the mosaic. About how many tiles are in each section?
Answer:
500 tiles are in each section.
Explanation:
The tiles could be divided into 6 sections with about 500 tiles each since 3000 ÷ 6 = 500 tiles.
Question 15.
Mr. Morgan owns an ice-cream shop. His shop made $1,380 last weekend. Mr. Morgan charges $2 for each scoop of ice cream. About how many scoops of ice cream were sold last weekend?
Answer:
$2760 scoops of ice cream were sold last weekend.
Explanation:
Given,
Mr. Morgan’s shop made $1,380 last weekend.
Mr. Morgan charges $2 for each scoop of ice cream.
To find: About how many scoops of ice cream were sold last weekend?
$ 1380 × $ 2 = $ 2760 scoops of ice cream.
Vocabulary Check
Question 16.
Circle the compatible numbers you could use to estimate 3,616 ÷ 9.
3,700 ÷ 9 3,600 ÷ 9 3,620 ÷ 9
Answer:
3,600 ÷ 9
Explanation:
Test Practice
Question 17.
Mrs. Scholl graded 632 tests during the school year. She had 3 helpers. About how many tests did each helper grade?
A. 315 tests
B. 310 tests
C. 210 tests
D. 200 tests
Answer:
210 tests.
Explanation:
No of tests during the school year is 632 tests.
No of helpers = 3
To find: how many tests did each helper grade?
632 ÷ 3 = 210.66 which is approximately 210 tets.