All the solutions provided in McGraw Hill My Math Grade 5 Answer Key PDF Chapter 6 Lesson 10 Divide Decimals will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 6 Lesson 10 Divide Decimals
Build It
Find 3.6 ÷ 3 using models.
1. The model shows 3.6 using three wholes and six tenths.
2. Divide the blocks into three equal groups. Draw a model that represents the equal groups.
How many whole blocks are in each group? __________
How many tenths are in each group? ___________
So, 3.6 ÷ 3 = ____________.
Check Use multiplication to check your answer.
Answer:
1.2
Explanation:
There is one block in each group.
There are 2 tenths in each group.
So, 3.6 ÷ 3 = 1.2
Check Use multiplication to check your answer.
Try It
Find 4.8 ÷ 2 using models.
1. The model shows 4.8 using four wholes and eight tenths.
2. Divide the blocks into two equal groups. Draw a model to represent the equal groups.
How many whole blocks are in each group? __________
How many tenths are in each group? ___________
So, 4.8 ÷ 2 = ____________.
Check Use multiplication to check your answer.
Answer:
2.4
Explanation:
There are 2 whole blocks are in each group.
There are 4 tenths are in each group.
So, 4.8 ÷ 2 = 2.4
Check Use multiplication to check your answer.
Talk About It
Question 1.
The table shows some quotients. Study the table. Write a rule you can use to find the quotient of a decimal and a whole number without using models.
Answer:
Rule : multiplication by 10
Explanation:
Question 2.
Mathematical PRACTICE Justify Conclusions Use your rule from Exercise 1 to find 3.5 ÷ 7 without using models. Explain the process you used.
Answer:
0.5
Explanation:
Given, 3.5 ÷ 7
Rule : multiplication by 10
3.5 x 10 = 35
35 ÷ 7 = 5
35 = 5 x 7
Practice It
Use models to find each quotient. Draw the equal groups.
Question 3.
3.4 ÷ 2 = ____________
Answer:
1.7
Explanation:
2 equal groups of 1.7
Question 4.
6.3 ÷ 3 = ____________
Answer:
2.1
Explanation:
3 equal groups of 2.1
Question 5.
5.6 ÷ 4 = ____________
Answer:
1.4
Explanation:
4 equal groups of 1.4
Question 6.
2.7 ÷ 3 = _______________
Answer:
0.9
Explanation:
3 equal groups of 0.9
Apply It
Question 7.
Marketa used 4.5 cups of sugar for 5 batches of cookies. If an equal amount was used for each batch, how many cups of sugar were used for each batch? Draw models to help you divide.
Answer:
0.9 cups.
Explanation:
Marketa used 4.5 cups of sugar for 5 batches of cookies.
Total cups of sugar were used for each batch,
5 equal groups of 0.9
5
Question 8.
Alexander ran 5.2 miles over the past 2 days. If he ran an equal amount each day, how many miles did he run each day? Draw models to help you divide.
Answer:
2.6 miles.
Explanation:
2 equal groups of 2.6
Question 9.
Mathematical PRACTICE Find the Error Joseph used base-ten blocks to find 2.1 ÷ 3. He stated that 2.1 ÷ 3 = 0.6. Find his mistake and correct it.
Answer:
0.7
Explanation:
3 equal groups of 0.7
Write About It
Question 10.
How can I use models to divide decimals by whole numbers?
Answer:
Models of Division is a equal sharing of models.
Explanation:
An equal sharing model of division is a situation where the dividend represents the number of objects and the divisor represents the number of groups that the objects will be distributed among.
McGraw Hill My Math Grade 5 Chapter 6 Lesson 10 My Homework Answer Key
Practice
Use models to find each quotient. Draw the equal groups.
Question 1.
1.6 ÷ 2 = ____________
Answer:
0.8
Explanation:
2 equal groups of 0.8
Question 2.
2.4 ÷ 4 = ______________
Answer:
0.6
Explanation:
4 equal groups of 0.6
Problem Solving
Question 3.
Elaine and her 3 friends purchased snacks after school for $3.60. If each person paid an equal amount, how much did each person pay? Draw models to help you divide.
Answer:
$0.9
Explanation:
4 equal groups of 0.9
Elaine and her 3 friends = 1 + 3 = 4
purchased snacks after school for $3.60.
each person pay
$3.60 ÷ 4 = 0.9
Question 4.
Vaughn spent 3.5 hours at the pool over the past week. If he spent an equal amount of time over the last 7 days, how much time did he spend each day at the pool? Draw models to help you divide.
Answer:
0.5 hours per day.
Explanation:
Vaughn spent 3.5 hours at the pool over the past week.
If he spent an equal amount of time over the last 7 days.
Total amount of time he spent in pool each day,
7 equal groups of 0.5
Question 5.
Mora was preparing for 3 achievement assessments. She spent 3.6 hours studying over the weekend. If she spent an equal amount of time studying for each assessment, how much time did she spend on each assessment? Draw models to help you divide.
Answer:
1.2 hours.
Explanation:
Mora was preparing for 3 achievement assessments.
She spent 3.6 hours studying over the weekend.
If she spent an equal amount of time studying for each assessment,
Total time she spend on each assessment,
3 equal groups of 1.2
Question 6.
Mathematical PRACTICE Use Math Tools Faith helped pull weeds, trim shrubs, and mow the lawn over the past 1.8 hours. If she spent an equal amount of time on each activity, how much time did she spend on each activity? Draw models to help you divide.
Answer:
0.6 hours on each activity.
Explanation:
Tools Faith helped pull weeds, trim shrubs, and mow the lawn over the past 1.8 hours.
If she spent an equal amount of time on each activity,
1.8 ÷ 3 = 0.6 hours.
Total time she spend on each activity,
3 equal groups of 0.6 hours.
