All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 3 Check My Progress will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Chapter 3 Check My Progress Answer Key
Check My Progress Page No. 181-182
Vocabulary Check
Draw lines to match each definition to each vocabulary word.
Answer:
Concept Check
Divide. Write the related multiplication fact.
Question 8.
54 ÷ 9 = ___
____ × 9 = 54
Answer:
54 ÷ 9 = 6
6 × 9 = 54
Explanation:
Take the first digit of the dividend from the left,
if the digit is less than the divisor then move to the next number.
Then divide it by the divisor and write the answer on top as the quotient.
Subtract the result from the digit and write the remainder.
Division is the opposite of multiplication in mathematics.
Question 9.
___ ÷ 9 = 8
8 × 9 = ____
Answer:
72 ÷ 9 = 8
8 × 9 = 72
Explanation:
To find the dividend, multiply the quotient with divisor.
As, Division is the opposite of multiplication in mathematics.
Algebra Divide to find the unknown number in each equation.
Question 10.
95 ÷ 5 = n
n = ____
Answer:
n = 19
Explanation:
To find the unknown number from the given equation,
divided the dividend with divisor.
95 ÷ 5 = n
Divided tens, 90 ÷ 5 = 18
Divided ones, 5 ÷ 5 = 1
Add both the quotients, 18 + 1 = 19
So, the unknown number is 19.
Question 11.
96 ÷ 8 = b
b = ____
Answer:
b = 12
Explanation:
To find the unknown number from the given equation,
divided the dividend with divisor.
96 ÷ 8 = n
n = 12
12 x 8 = 96
So, the unknown number is 12.
Divide.
Question 12.
Answer:
24
Explanation:
Divided the tens, 40 ÷ 2 = 20
Divided the ones, 8 ÷ 2 = 4
Add the quotients, 20 + 4 = 24
Question 13.
Answer:
Quotient = 11
Remainder = 4
Explanation:
Divided the tens, 80 ÷ 7 = 11
7 x 11 = 77
80 – 77 = 3
Add ones to the remainder, 3 + 1 = 4
Add 77 + 4 = 81
Divide mentally.
Question 14.
3,500 ÷ 5 = ____
Answer:
700
Explanation:
Divided the thousands, 3000 ÷ 5 = 600
Divided hundreds, 500 ÷ 5 = 100
As, zeros are there in tens and ones place,
add the quotients of thousands and hundreds.
600 + 100 = 700
Question 15.
420 ÷ 60 = ____
Answer:
7
Explanation:
Cancel the zeros on both sides.
42 ÷ 6 = 7
7 x 6 = 42
Problem Solving
Question 16.
Suki received $87 for working 3 days. If she made the same amount each day, how much did Suki earn each day?
Answer:
$29
Explanation:
Suki received $87 for working 3 days.
If she made the same amount each day,
Suki earn each day = $87 ÷ 3 = $29
$29 x 3 = $87
Question 17.
A total of 180 students went on a field trip. There were 3 buses. If each bus had the same number of students on it, how many students were on each bus?
Answer:
60 students.
Explanation:
A total of 180 students went on a field trip.
There were 3 buses.
If each bus had the same number of students on it,
Number of students on each bus 180 ÷ 3 = 60
60 x 3 = 180
Question 18.
Marc is helping out with the school bake sale. He has 50 cookies to place in bags. He places 3 cookies in each bag. How many bags will he use? How many cookies will be left over?
Answer:
Total bags = 16
Number of cookies left = 2
Explanation:
Marc has 50 cookies to place in bags.
He places 3 cookies in each bag.
Number of bags used 50 ÷ 3 = 16 bags.
16 x 3 = 48 cookies.
Number of cookies left 50 – 48 = 2 cookies.
Test Practice
Question 19.
A train traveled 300 miles in 5 hours. How far did the train travel each hour, on average?
A. 60 miles
B. 150 miles
C. 600 miles
D. 1,500 miles
Answer:
Option(A)
Explanation:
A train traveled 300 miles in 5 hours.
The train travel each hour, on average 300 ÷ 5 = 60 miles.
Check My Progress Page No. 207-208
Vocabulary Check
Question 1.
Circle the method that correctly uses partial quotients.
Answer:
Explanation:
In the first division 140 x 4 = 560, but 644 is subtracted from 640 which is incorrect.
In the second division 513 – 300 is 213, but it is written as 210 which is incorrect.
Concept Check
Estimate. Show how you estimated.
Question 2.
244 ÷ 8
______
Answer:
Estimated: 240 ÷ 8 = 30
Explanation:
So, 240 and 8 are compatible numbers.
Question 3.
700 ÷ 6
Answer:
Estimated: 696 ÷ 6 = 116
Explanation:
So, 696 and 6 are compatible numbers.
Question 4.
890 ÷ 4
Answer:
Estimated: 880 ÷ 4 = 220
Explanation:
So, 880 and 4 are compatible numbers.
Divide.
Question 5.
Answer:
126
Explanation:
Divided the hundreds 600 ÷ 5 = 120
Divided tens 30 ÷ 5 = 6
Add the quotients of tens and hundreds.
120 + 6 = 126
Question 6.
1,766 ÷ 6 = ____
Answer:
295
Explanation:
1,766 ÷ 6
1766 is rounded to nearest tens as 1770.
1770 and 6 are compatible numbers.
1,770 ÷ 6 = 295
Question 7.
Answer:
45
Explanation:
87 ÷ 2
87 is rounded to nearest tens as 90.
90 and 2 are compatible numbers.
90 ÷ 2 = 45
Problem Solving
Question 8.
Each of the 9 parking lots at an automobile plant holds the same number of new cars. The lots are full. If there are 431 cars in the lots, about how many cars are in each lot? Show how you estimated.
Answer:
Estimate = 50 cars.
Explanation:
Each of the 9 parking lots at an automobile plant holds the same number of new cars.
If there are 431 cars in the lots,
Number of cars are in each lot 431 ÷ 9
Compatible numbers are 450 and 9.
450 ÷ 9 = 50 cars.
50 x 9 = 450 cars.
Question 9.
A total of 176 valves were used for 8 cars as they were being assembled. The same number of valves were used for each car. How many valves were used for each car?
Answer:
22 valves.
Explanation:
A total of 176 valves were used for 8 cars.
The same number of valves were used for each car.
Number of valves used for each car 176 ÷ 8 = 22
22 x 8 = 176 valves.
Question 10.
A construction company estimates that it will take 852 hours to complete a remodeling
project. If there are 6 employees that each work an equal number of hours, how many hours will each employee have to work?
Answer:
142 hours.
Explanation:
A construction company estimates that it will take 852 hours to complete remodeling.
If there are 6 employees.
Number of hours will each employee have to work 852 ÷ 6 = 142.
142 x 6 = 852 hours.
Question 11.
Rachel has 145 mugs displayed at a craft show. She displays them in 8 rows with the same number of mugs in each row. How many mugs are in each row? Explain how you interpreted the remainder.
Answer:
There are 18 mugs in each row with a remainder of one.
The remainder could represent on mug that he has in his hands.
Explanation:
Rachel has 145 mugs displayed at a craft show.
She displays them in 8 rows with the same number of mugs in each row.
Number of mugs in each row 145 ÷ 8 = 18.1
Multiply. 18 × 8 = 144
Subtract. 145 – 144 = 1
Compare. 1 < 8
The remainder is 1.
Interpret the remainder, 1.
There are 18 mugs in each row with a remainder of one.
The remainder could represent on mug that he has in his hands.
Test Practice
Question 12.
Valley Schools have a student population of 1,608 students. If there are an equal number of students in the 6 grade levels, how many students are there in each grade?
A. 28 students
B. 208 students
C. 248 students
D. 268 students
Answer:
Option(D)
Explanation:
Valley Schools have a student population of 1,608 students.
If there are an equal number of students in the 6 grade levels,
number of students in each grade 1608 ÷ 6 = 268 students.
6 x 268 = 1608 students.