All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 3 Lesson 2 Division Models will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 5 Answer Key Chapter 3 Lesson 2 Division Models
Build It
In art class, three students share 48 markers evenly. How many markers will each student have?
1. Model 48 using base-ten blocks.
2. Divide the tens into 3 equal groups.
Circle 3 groups of tens. Draw the equal groups.
3. Regroup the remaining tens blocks into 10 ones. How many ones are there altogether? ___ ones
4. Divide the ones into 3 equal groups. Draw an equal amount of ones in each group. Each group has
____ ones.
Each group has ten and ones.
So, 48 ÷ 3 = ___.
Each student will have ____ markers.
Answer:
16
Explanation:
48 ÷ 3 = 16
Each student will have 16 markers.
Try It
Find 56 ÷ 5.
1. Model 56 using base-ten blocks.
2. Divide the tens into 5 equal groups. Circle the groups of tens.
3. Divide the ones into 5 equal groups. Draw an equal amount of tens and ones in each group.
How many ones are left over? ____
Each group has ten and one.
So, when you divide 56 into 5 groups, there are ___ in each group with one left over.
Answer:
11 x 5 + 1
55 + 1 = 56
So, when you divide 56 into 5 groups, there are 11 in each group with one left over.
Explanation:
Divided the tens and ones into 5 equal groups.
Talk About It
Question 1.
Mathematical PRACTICE 5 Use Math Tools Model 32 ÷ 3 using base-ten blocks. Will there be any left over? Explain.
Answer:
2
Explanation:
using base-ten blocks.
Divided the tens and ones into 3 equal groups.
32 ÷ 3 = 10 +2
2 blocks are left over.
Practice It
Divide. Use base-ten blocks. Draw the equal groups. State if there are any left over.
Question 2.
44 ÷ 4
How many are in each group? ___ Are there any left over? If so, state how many. ____
Answer:
11
Explanation:
using base-ten blocks.
Divided the tens and ones into 4 equal groups.
44 ÷ 4 = 11
So, each group has 11 blocks.
Question 3.
39 ÷ 3
How many are in each group? _____ Are there any left over? If so, state how many. ____
Answer:
13
Are there any left over = 0
If so, state how many = 0
Explanation:
using base-ten blocks.
Divided the tens and ones into 3 equal groups.
39 ÷ 3 = 13
So, each group has 13 blocks.
Question 4.
32 ÷ 5
How many are in each group? _____ Are there any left over? If so, state how many. ____
Answer:
5 blocks in each group.
Are there any left over = 2
If so, state how many = 2 blocks.
Explanation:
using base-ten blocks.
Divided the tens and ones into 3 equal groups.
32 ÷ 5 = 6 blocks
So, each group has 6 blocks.
2 blocks are left.
Question 5.
57 ÷ 8
How many are in each group?
____ Are there any left over? If so, state how many. ____
Answer:
7
Nothing is left over.
Explanation:
Explanation:
using base-ten blocks.
Divided the tens and ones into 7 equal groups.
57 ÷ 8 = 7
Each group has 7 blocks
Are there any left over = 0
If so, state how many = 0
Question 6.
Use base-ten blocks to divide 64 ÷ 6. How many are left over?
Answer:
Each group has 6 blocks.
4 blocks are left.
Explanation:
using base-ten blocks.
Divided the tens into 10 equal groups.
64 ÷ 6 = 10
4 blocks are left.
Apply It
Solve. Use base-ten blocks.
Question 7.
Mathematical PRACTICE 5 Use Math Tools Kendrick has 42 craft sticks to make 3 identical crafts. How many sticks will he use for each craft?
Answer:
14 sticks.
Explanation:
Kendrick has 42 craft sticks to make 3 identical crafts.
Number of sticks he use for each craft,
using base-ten blocks.
Divided the tens into 3 equal groups.
Each group has 14 sticks.
42 ÷ 3 = 14
Question 8.
Allison uses 41 stickers to decorate 3 picture frames. Each picture frame has the same number of stickers. How many stickers are on each picture frame? How many stickers are left over?
Answer:
13 stickers on each frame.
2 stickers are left over.
Explanation:
Allison uses 41 stickers to decorate 3 picture frames.
Each picture frame has the same number of stickers.
Number of stickers on each picture frame,
using base-ten blocks.
Divided the tens into 3 equal groups.
Each group has 13 stickers.
41 ÷ 3 = 13
Number of stickers left over = 2
Question 9.
Kara and six of her friends are playing miniature golf. If it costs $42 for all of them to play a round of golf, how much does each round cost per person?
Answer:
$6 per person.
Explanation:
Cost of miniature golf is $42.
Kara and six of her friends are playing miniature golf.
Cost of each round per person $42 ÷ 7
using base-ten blocks.
Divided the tens into 7 equal groups.
Each person has to pay $6
42 ÷ 7 = 6
Question 10.
Justin has 71 newspapers to deliver in 3 days. He delivers the same number of newspapers each day. How many newspapers does Justin deliver each day? How many newspapers are left over?
Answer:
69 newspapers delivered each day.
2 news papers are left.
Explanation:
Justin has 71 newspapers to deliver in 3 days.
Number of newspapers Justin deliver each day 71 ÷ 3
using base-ten blocks.
Divided the tens into 3 equal groups.
42 ÷ 7 = 23
23 x 7 = 69 newspapers.
Number of newspapers left over 2.
Question 11.
Mathematical PRACTICE 2 Use Number Sense Write the division sentence that is shown by the model.
Answer:
66 ÷ 11 = 6
Explanation:
using base-ten blocks.
Divided the tens into 6 equal groups.
Each group has 11 stickers.
66 ÷ 11 = 6
Write About It
Question 12.
How does place value help model division?
Answer:
Place Value is important because it provides the foundation for regrouping, multiple-digit multiplication, and more in the decimal system, as well as a starting point for the understanding of other base systems.
Division is one of the four basic operation.
Division is essentially the inverse operation of multiplication.
We can use the concept of place values to perform simple division operations.
Place value is the value of a digit in a number, depending on its position in the number.
McGraw Hill My Math Grade 5 Chapter 3 Lesson 2 My Homework Answer Key
Practice
Divide. Use base-ten blocks. Draw the equal groups. State if there are any left over.
Question 1.
42 ÷ 3
How many are in each group? _____
Are there any left over? _____
Answer:
Each group has 14 blocks.
Nothing is left.
Explanation:
Question 2.
87 ÷ 4
How many are in each group? ____
Are there any left over? ____
Answer:
Each group has 21 blocks.
3 blocks are left.
Explanation:
Problem Solving
Question 3.
Jamil has 3 pet lizards. The pet store owner said that Jamil will need to buy a total of 36 crickets to feed his lizards. If each lizard eats the same number of crickets, how many crickets does each lizard eat?
Answer:
12 crickets.
Explanation:
Jamil has 3 pet lizards.
Jamil want to buy a total of 36 crickets to feed his lizards.
Number of crickets does each lizard eat,
using base-ten blocks.
Divided the tens into 3 equal groups.
Each group has 12 crickets.
36 ÷ 3 = 12
Question 4.
Mathematical PRACTICE 3 Find the Error Sienna used base-ten blocks to find 45 ÷ 3. Explain her error.
Answer:
Each block has 15 blocks.
But she distributed 13 blocks in each group.
Explanation:
Total blocks Sienna has 45 blocks.
She has to divided equally in 3 groups.
45 ÷ 3.
using base-ten blocks.
Divided the tens into 3 equal groups.
Each group has 15 blocks.
Question 5.
An airplane that can hold 63 passengers is separated into 3 sections. Each section holds the same number of passengers. Write a division sentence to correctly describe the situation.
Answer:
63 ÷ 3 = 21
Explanation:
An airplane that can hold 63 passengers is separated into 3 sections.
Number of passengers in each section,
63 ÷ 3 = 21
using base-ten blocks.
Divided the tens into 3 equal groups.
Each group has 21 passengers.