All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 6 Lesson 5 Divide with Remainderswill give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 6 Lesson 5 Divide with Remainders
Math in My World
Example 1
Nolan and his family went to a water park during their vacation. Each seat on a water ride can hold 2 people. There are 39 people. How many seats will be needed?
Find 39 ÷ 2.
1. Divide the tens.
How many groups of 2 are in 3 tens? ___ group of ten
Answer:
There is 1 group of ten.
2. Multiply, subtract, and compare.
Multiply. 2 × 1 = ____
Subtract. 3 – 2 = ____
Compare. 1 < 2
Answer:
Multiply. 2 × 1 = 2
Subtract. 3 – 2 = 1
3. Bring down the ones.
Bring down 9 ones. There are now ___ ones
Answer:
There are now 19 ones.
4. Divide the ones.
How many groups of 2 are in 19? ____ groups
Multiply. 2 × 9 = ____
Subtract. 19 – 18 = ____
Compare. 1 < 2
Compare. 1 < 2
19 seats are full. One additional seat has 1 person. So, ____ seats are needed.
Answer:
There are 9 groups.
Multiply. 2 × 9 = 18
Subtract. 19 – 18 = 1
19 seats are full. One additional seat has 1 person. So, 20 seats are needed.
Check Use models to check.
Example 2
Find 85 ÷ 3.
Answer:
Talk Math
When you divide a number by 6, can the remainder be 6? Explain.
Answer:
No, the remainder cannot be 6.
When a number which is a positive integer divided by the number 6, the remainder would be 0,1,2,3,4,5.
Guided Practice
Divide. Use multiplication to check.
Question 1.
Answer:
Explanation:
Question 2.
Answer:
Explanation:
Independent Practice
Divide. Use multiplication to check.
Question 3.
Answer:
The division for the given number is 12.
Explanation:
Check:
Multiply the quotient by the dividend.
12 × 4 = 48
Question 4.
Answer:
The division for the given number is 10 with the remainder being 3.
Explanation:
Check:
10 × 5 = 50
50 + 3 (remainder) = 53
Question 5.
Answer:
The division for the given number is 11 with the remainder being 1.
Explanation:
Check:
11 × 6 = 66
66 + 1 = 67
Question 6.
Answer:
The division for the given number is 11.
Explanation:
Question 7.
Answer:
The division for the given number is 1 with the remainder being 3.
Explanation:
Check:
10 × 7 = 70
70 + 3 = 73
Question 8.
Answer:
The division for the given number is 1 with the remainder being 3.
Explanation:
Check:
10 × 9 = 90
90 + 6 = 96
Question 9.
69 ÷ 3 = ___
Answer:
The division for the given number is 23.
Explanation:
Question 10.
77 ÷ 3 = ___
Answer:
The division for the given number is 25 with a remainder of 2.
Explanation:
Check:
25 × 3 = 75
75 + 2 = 77
Question 11.
99 ÷ 4 = ___
Answer:
The division for the given number is 24 with a remainder of 4.
Explanation:
Check:
24 × 4 = 96
96 + 3 = 99
Algebra Use mental math to find the unknown.
Question 12.
x ÷ 2 = 12
x = ____
Answer:
x = 24
Explanation:
Given,
x ÷ 2 = 12
x = 12 × 2
= 24
Question 13.
48 ÷ 4 = y
y = ____
Answer:
y = 12
Explanation:
Given,
48 ÷ 4 = y
y = 12
Question 14.
75 ÷ 5 = s
s = ___
Answer:
s = 15
Explanation:
Given,
75 ÷ 5 = s
s = 15
Problem Solving
Question 15.
Mathematical PRACTICE 4 Model Math There are eight lions, four tigers, five cheetahs, six giraffes, seven hippos, and 78 monkeys at the City Zoo.
If each of the four zookeepers feeds the same number of animals, how many animals does each zookeeper feed? Explain.
Answer:
27 animals.
Explanation:
Given,
There are eight lions, four tigers, five cheetahs, six giraffes, seven hippos, and 78 monkeys at the City Zoo.
8 + 4 + 5 + 6 + 7 + 78 = 108
To find: how many animals does each zookeeper feed?
108 ÷ 4 = 27 animals.
Question 16.
Marlene makes $4 an hour babysitting. If she earned $48, how many hours did she babysit?
Answer:
12 hours.
Explanation:
Given,
Marlene makes $4 an hour babysitting.
She earned $48
$48 ÷ $4 = 12 hours.
Hence she babysits for 12 hours.
Question 17.
Seven scouts need to sell 75 boxes of cookies. Each scout gets the same number of boxes. How many boxes will be left to sell?
Answer:
5 boxes.
Explanation:
No of cookies sold = 75 boxes
No of scouts = 7
75 ÷ 7 = 10 R5
Hence there are 5 boxes left to sell.
HOT Problems
Question 18.
Mathematical PRACTICE 1 Keep Trying Identify a two-digit dividend that will result in a quotient with a remainder of 1 when the divisor is 4.
Answer:
The number is 29 with a remainder of 1 when it is divided by 4.
Explanation;
let the number be 29
Now divide the number by 4.
29 ÷ 4 = 7 R1.
Question 19.
? Building on the Essential Question Why is the remainder always less than the divisor? Explain.
Answer:
When one number divides another number completely, the remainder is 0. If the remainder is greater than the divisor, it is called the division incomplete. That is the reason the remainder is always less than the divisor.
McGraw Hill My Math Grade 4 Chapter 6 Lesson 5 My Homework Answer Key
Practice
Divide. Check using multiplication.
Question 1.
Answer:
The division for the given number is 15 with a remainder of 1.
Explanation:
Check:
15 × 5 =75
75 +1 = 76
Question 2.
Answer:
The division for the given number is 19 with a remainder of 1.
Explanation:
Check:
19 × 2 = 38
38 + 1 = 39
Question 3.
Answer:
The division for the given number is 23 with a remainder of 3.
Explanation:
Check:
23 × 4 = 92
92 + 3 = 95
Question 4.
Answer:
The division for the given number is 14 with a remainder of 2.
Explanation:
Check:
14 × 6 = 84
84 + 2 = 86
Question 5.
Answer:
The division for the given number is 12 with a remainder of 3.
Explanation:
Check:
12 × 8 = 96
96 + 3 = 99
Question 6.
Answer:
The division for the given number is 26 with a remainder of 2.
Explanation:
Check:
26 × 3 = 78
78 + 2 = 80
Problem Solving
Question 7.
Mathematical PRACTICE 2 Reason Mitzi has 38 coins. She divides the coins equally among herself and her 3 brothers. How many coins does each person get? Are any coins left over?
Answer:
Each person will get 9 coins and 2 coins are left over.
Explanation:
Given,
Mitzi has 38 coins. She divides the coins equally among herself and her 3 brothers.
The total number of people is 4.
She divided the amount equally among herself and her 3 brothers.
38 ÷ 4 = 9 R2
Hence each person will get 9 coins and 2 coins are left over.
Question 8.
There are 26 third graders and 32 fourth graders going on a field trip. Each van can carry 10 students.
How many vans are needed? __________
How many students will be in each van?
Answer:
6 vans.
5 vans will have 10 students and 1 van will have 8 students.
Explanation:
Given,
No of third graders = 26
No of fourth graders = 32
Total = 26 + 32 = 58
58 ÷ 10 = 5 with a remainder of 8.
We will need an extra bus to take the remaining kids.
Question 9.
In Jonah’s restaurant, each table seats 4 people. Jonah has 78 napkins to place at the tables.
How many tables can Jonah set with the napkins he has? __________
How many napkins will Jonah need to complete one more table? ______
Answer:
19 tables, 38 napkins.
Explanation:
Given,
each table seats 4 people.
Jonah has 78 napkins to place at the tables.
Jonah set has 19 tables.
Jonah needs 38 napkins to complete one more table.
Test Practice
Question 10.
Wes bought 62 songs. He wants to put an equal number of songs on 5 different discs. How many songs will be left over?
A. 4 songs
B. 3 songs
C. 2 songs
D. 1 song
Answer:
2 songs.
Explanation:
Given,
Wes bought 62 songs.
No of discs = 5
62 ÷ 5 = 12 R2
Hence there are 2 songs left.