All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 6 Lesson 6 Interpret Remainders will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 6 Lesson 6 Interpret Remainders
Math in My World
Example 1
Mandy wants to buy 4 books that each cost the same amount. If the total cost is $74, how much does each book cost?
Divide 74 by 4.
The remainder shows that each book will cost a little more than _____.
Answer:
The remainder shows that each book will cost a little more than 18.
Explanation:
Example 2
Gracie has 64 prizes. She will put 3 prizes in each bag. How many bags will she have? Interpret the remainder.
So, Gracie will have ____ bags. 64 ÷ 3 = ___ R ____
The remainder, ____, shows the number of prizes that Gracie will have left.
So, Gracie will have ____ prize left.
Check
____ × 3 = ____ Multiply.
____ + 1 = ____ Add the remainder.
Answer:
Gracie will have 21 bags. 64 ÷ 3 = 21 R 1
The remainder, 1, shows the number of prizes that Gracie will have left.
So, Gracie will have 1 prize left.
Check
21 × 3 = 63 Multiply.
63 + 1 = 64 Add the remainder.
Explanation:
Talk Math
What kind of information can you get from a remainder?
Guided Practice
Question 1.
There are 45 people waiting for a bus: Each seat holds 2 people. How many seats will be needed? Divide. Interpret the remainder.
45 ÷ 2 = ___ R ____
So, ____ seats will be needed.
Answer:
45 ÷ 2 = 22 R1
22 seats will be needed.
Explanation:
Independent Practice
Divide. Interpret the remainder.
Question 2.
Gianna is at the school carnival. She has 58 tickets. It costs 3 tickets to play the basketball game. If she plays the basketball game as many times as she can, how many tickets will she have left?
58 ÷ 3 = ____
So, there is ____ ticket left.
Answer:
There are 19 tickets left.
Explanation:
Question 3.
There are 75 people waiting in line to ride a roller coaster. Each car of the roller coaster holds 6 people. How many cars will be needed?
75 ÷ 6 = ____
The answer is the next whole number, ____
So, they will need ____ cars.
Answer:
The answer is the next whole number is 13. So, they will need 13 cars.
Explanation:
Question 4.
There are 4 cartons of orange juice in each package. If there are 79 cartons of orange juice, how many packages can be filled?
79 ÷ 4 = ____
So, ____ packages can be filled.
Answer:
A total of 20 packages can be filled.
Explanation:
Question 5.
The fourth grade classes are going on a field trip. There are 90 students in all. Each van can seat 8 students. How many vans will be needed?
90 ÷ 8 = ____
The answer is the next whole number, _____
So, they will need ___ vans
Answer:
The answer is the next whole number 11. So, they will need 11 vans.
Explanation:
Problem Solving
For Exercises 6 and 7, use the following information.
Parents are driving groups of children to the science center. Each van holds 5 children. There are 32 children in all.
Question 6.
Mathematical PRACTICE 2 Reason How many vans are needed?
Answer:
The total number of vans needed is 7.
Explanation:
Given,
Total number of children = 32
Each van has 5 children
To find: How many vans are needed?
32 ÷ 5 = 6.5
By rounding off to the nearest one the answer is 7.
Question 7.
Circle the true statement about the remainder.
- You do not need to know anything about the remainder to solve this problem.
- The remainder tells you that the answer is the next greatest whole number.
- The remainder is the answer to the question.
Answer:
The remainder tells you that the answer is the next greatest whole number.
HOT Problems
Question 8.
Mathematical PRACTICE 2 Use Number Sense Brody is organizing his action figures on a shelf. He wants to divide them equally among 4 shelves. There are 37 action figures. Brody says he will have 2 left over. Find and correct his mistake.
Answer:
Brody will have 1 action figure left over with each of the 4 shelves.
Explanation:
Given,
There are 37 action figures.
He wants to divide them equally among 4 shelves.
37 ÷ 4 = 9.25
So now multiply to check
9 × 4 = 36
Now subtract 37 – 36 = 1
So, Brody will have 1 action figure left over with each of the 4 shelves.
Question 9.
? Building on the Essential Question Why is it important to know how to interpret a remainder?
Answer:
Interpreting remainders will help us to develop problem-solving skills. We will logically reason if a remainder should be dropped, rounded up or shared that is it is turned into a fraction or decimal) depending on the given question.
McGraw Hill My Math Grade 4 Chapter 6 Lesson 6 My Homework Answer Key
Practice
Divide. Interpret the remainder.
Question 1.
Tyler is planting 60 trees at the apple orchard. He will plant 8 trees in each row. How many full rows of trees will Tyler plant?
____ rows
Answer:
7 rows.
Explanation:
Question 2.
Ms. Ling bought party hats for the 86 fourth graders at her school. The hats come in packages of 6. How many packages did Ms. Ling buy?
____ packages
Answer:
15 packages.
Explanation:
Problem Solving
Question 3.
Wezi has sixty-eight $1-bills. He takes the $1 -bills to the bank to exchange them for $5-bills. How many $5-bills does Wezi get?
Answer:
Yes, he has 13 $5 bills.
Explanation:
No of $1-bills = 68
He takes the $1 -bills to the bank to exchange them for $5-bills.
68 ÷ 5 = 13
Hence Wezi gets 13 $5 bills.
Question 4.
Mathematical PRACTICE 2 Reason Henry decorates the top of each cupcake with 3 walnuts. If he has 56 walnuts, is that enough to decorate 2 dozen cupcakes? Explain.
Answer:
19 cupcakes.
Explanation:
Given,
There are 56 walnuts in total and we put 3 walnuts on each cupcake.
So we have to divide 56 by 3.
56 ÷ 3 = 19 approx.
since 1 dozen = 12 cupcakes
2 dozen = 24 cupcakes.
Therefore he only is able to decorate approximately
Test Practice
Question 5.
Janice bought juice packets for the 15 players on the soccer team. The juice packets come in boxes of 6. How many boxes did Janice buy?
A. 5 boxes
B. 4 boxes
C. 3 boxes
D. 2 boxes
Answer:
3 boxes.
Explanation:
Given,
that Janice bought juice packets for the 15 players on the soccer team. The juice packets come in boxes of 6.
To find the number of boxes that Janice need to buy for 25 players, we need to divide 15 by 6.
Since the juice packets come in boxes of 6, so we will round to the nearest whole number.
Therefore, Janice will buy 3 boxes of juice packets for 15 players.