# McGraw Hill My Math Grade 5 Chapter 10 Lesson 1 Answer Key Part of a Number

All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 10 Lesson 1 Part of a Number will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 5 Answer Key Chapter 10 Lesson 1 Part of a Number

You can use bar diagrams to find parts of a number.

– The first step is to draw the rectangular strip.
– Next, look at the denominator of the fraction which we want to model.
– The denominator describes how many equal parts the whole is divided into. It’s the bottom number.
– The denominator of 1/4 is 4.
– That means you should divide the rectangular strip into 4 equal parts.
– The numerator describes the number of parts you have. It’s the top number.
– The numerator of 1/4 is 1.
The above-given 1/4 of 16

Draw It

Lelah threw 16 pitches in the first inning of a softball game. Of the pitches she threw, $$\frac{3}{4}$$ of them were strikes. How many strikes did she throw in the first inning?

Find $$\frac{3}{4}$$ of 16.

1. The bar diagram represents the number of pitches she threw.

The above-given fraction: 3/4
3/4 x 16 = 3 x 4 = 12
In fraction, 3/4; the denominator is 4 so they are divided into 4 equal parts.
The numerator is 3, so they had shown 3 equal parts. 3 x 4 = 12
Therefore, the number of pitches she threw are 12.

2. Since the denominator is 4, the bar diagram was divided into ____ equal sections.
Each section of the bar represents ____ pitches.
The above-given fraction is 3/4
The denominator is 4 so the bar diagram is also divided into 4 equal parts. Each section represents 4 pitches.
Representation:
3. Use the diagram to determine $$\frac{3}{4}$$ of 16.
4 + 4 + 4 = _____
$$\frac{3}{4}$$-of 16 is ____
So, Lelah threw ____ strikes.
By using the diagram we can add the pitches
4 + 4 + 4 = 12
or we can use multiplication method
3/4 x 16 = 3 x 4 = 12
Therefore, Lelah threw 12 strikes.

Try It
Find $$\frac{1}{3}$$ of 15 using a bar diagram.

1. Label the bar diagram that represents 15.

The word “of” means to multiply. So, $$\frac{1}{3}$$ of 15 means $$\frac{1}{3}$$ × 15.
The above-given hint:
1/3 x 15 is equal to 5
The above boxes were divided

2. Since the denominator is 3, the bar diagram was divided into ____ equal sections.
Each section of the bar represents _____
The boxes were divided into 3 sections. And each section of the bar represents 5

3. Use the diagram to determine $$\frac{1}{3}$$ of 15.
$$\frac{1}{3}$$ of 15 is the same as 15 ÷ 3, which is the same as $$\frac{1}{3}$$ × 15.
What is $$\frac{1}{3}$$ of 15? ____
So, $$\frac{1}{3}$$ of 15 = _____
The above-given latex sentence can be written as
1/3 of 15
= 1/3 x 15
= 5

Question 1.
Mathematical PRACTICE 6 Explain to a Friend Explain why $$\frac{1}{4}$$ of 16 is the same as 16 ÷ 4.
To find 1/4 of 16, draw a bar diagram that represents 16. Then divide it into fourths. One of the fourths is 1/4 of 16, which is the same as 16 ÷ 4.

1/4 of 16 is equal to 4
16 ÷ 4 is equal to 4.

Question 2.
Explain why $$\frac{3}{4}$$ of 16 is the same as 3 × 16 ÷ 4.
If 1/4 of 16 is the same as 16 ÷ 4, then 3/4 of 16 is the same as  3 x 16 ÷ 4, since 3/4 is three times as large as 1/4.
3/4 of 16 = 3/4 x 16 = 12
3 x 16 ÷ 4
3 x 16 = 48
48 ÷ 4 = 12
both are equal.

Practice It

Draw a bar diagram to find each product.

Question 3.
12 × $$\frac{1}{2}$$ = _____

The above-given problem is
12 x 1/2
2 x 6 = 12
we can cancel 2 and 12
The bar diagram can be represented as

Since the denominator is 2, the bar diagram was divided into 2 equal sections.
Each section of the bar represents 6.

Question 4.
$$\frac{2}{3}$$ of 15 = _____

The above-given problem is:
2/3 of 15
2/3 x 15
3 x 5 = 15 (3 and 15 gets cancel)
5 x 2 = 10
The bar diagram can be represented as;

Since the denominator is 3, the bar diagram was divided into 3 equal sections.
Each section of the bar represents 5.

Question 5.
$$\frac{2}{3}$$ of 8 = _____
The above-given problem:
2/3 of 8
2/3 x 8
Express 2/3 x 18 as a single fraction.
then the fraction is 2 x 18/3
in the 3rd table, 18 get cancelled 6 times.
3 x 6 = 18
6 x 2 = 12
Therefore, 2/3 of 18 is equal to 12

Since the denominator is 2, the bar diagram was divided into 2 equal sections.
Each section of the bar represents 6.

Question 6.
9 × $$\frac{1}{3}$$ = _____
The above-given problem:
9 x 1/3 is equal to 3
The bar diagram can be represented as:

Since the denominator is 3, the bar diagram was divided into 3 equal sections.
Each section of the bar represents 3.

Question 7.
8 × $$\frac{1}{4}$$ = _____
The above-given problem;
8 x 1/4 = 2
The bar diagram can be represented as:

Since the denominator is 4, the bar diagram was divided into 4 equal sections.
Each section of the bar represents 2.

Question 8.
$$\frac{1}{2}$$ of 16 = _____
The above-given problem:
1/2 of 16
1/2 x 16 = 8
The bar diagram can be represented as:

Since the denominator is 2, the bar diagram was divided into 2 equal sections.
Each section of the bar represents 8.

Question 9.
25 × $$\frac{2}{5}$$ = _____
The above-given problem;
25 x 2/5 = 5 x 2 = 10
The bar diagram can be represented as:

Since the denominator is 5, the bar diagram was divided into 5 equal sections.
Each section of the bar represents 5.

Question 10.
24 × $$\frac{3}{4}$$ = _____
The above-given problem
24 x 3/4 = 6 x 3 = 18
The bar diagram can be represented as:

Since the denominator is 4, the bar diagram was divided into 4 equal sections.
Each section of the bar represents 6.

Apply It

Draw a bar diagram to help solve Exercises 11 and 12.

Question 11.
Leon used plant fertilizer on $$\frac{4}{7}$$ of his potted flowers. If he has 28 potted flowers, on how many did he use plant fertilizer?

The amount of fertilizer used by Leon for his potted flowers = 4/7
The estimation of potted flowers = 28
The number of plant fertilizer did he use = X
X = 4/7 x 28
X = 4 x 4
X = 16
Therefore, he used 16 plant fertilizers for 28 potted flowers.
The bar diagram can be represented as:

Since the denominator is 7, the bar diagram was divided into 7 equal sections.
Each section of the bar represents 4.

Question 12.
Mathematical PRACTICE 5 Use Math Tools Jeremy washed $$\frac{3}{8}$$ of the plates from dinner. If 16 plates were used, how many plates did Jeremy wash?
The number of plates he washed = 3/8
The estimation of the number of plates used = 16
The number of plates did Jeremy washed = X
X = 3/8 x 16
X = 3 x 2
X = 6
Therefore, he washed 6 plates.
The bar diagram can be represented as:

Since the denominator is 8, the bar diagram was divided into 8 equal sections.
Each section of the bar represents 2.

Question 13.
Mathematical PRACTICE 4 Model Math Write a real-world problem that could represent the bar diagram shown.

From the bar diagram, we can write as
2/3 of 12
2/3 x 12 = 4 x 2 = 8

The real-world problem could be shamvitha had $12 to spend at the store. She spent 2/3 of the money he had on chocolates. How much did she spend? Shamvitha spent$8.

Question 14.
How can I use models to find part of a number?
I can draw a bar diagram to model the number. I divided it into equal parts. One or more of the parts represents the part of the number.

### McGraw Hill My Math Grade 5 Chapter 10 Lesson 1 My Homework Answer Key

Practice

Draw a bar diagram to find each product

Question 1.
$$\frac{2}{3}$$ of 36 = ____
The above-given problem:
2/3 of 36.
2/3 x 36 = 2 x 12 = 24
The bar diagram can be represented as:

Since the denominator is 3, the bar diagram was divided into 3 equal sections.
Each section of the bar represents 12.

Question 2.
35 × $$\frac{3}{5}$$ = ____
The above-given diagram:
35 x 3/5 = 7 x 3 = 21
The bar diagram can be represented as:

Since the denominator is 5, the bar diagram was divided into 5 equal sections.
Each section of the bar represents 7.

Problem Solving

Draw a bar diagram to help solve Exercises 3-5.

Question 3.
Hope used $$\frac{1}{3}$$ of the flour in the container to make cookies. If the container holds 12 cups of flour, how many cups did Hope use?
The amount of flour Hope used to make cookies = 1/3
The estimated cups of flour container holds = 12
The number of cups Hope uses = X
X = 1/3 x 12
X = 4
Therefore, Hope uses 4 cups of flour.
The bar diagram can be written as:

Since the denominator is 3, the bar diagram was divided into 3 equal sections.
Each section of the bar represents 4.

Question 4.
Elijah used $$\frac{3}{4}$$ of the memory on his cell phone memory card. If the memory card can hold 32 gigabytes, how many gigabytes did Elijah use?
The amount of memory Elijah used = 3/4
The estimated amount of memory = 32 gigabytes
The number of gigabytes Elijah used = X
X = 3/4 x 32
X = 3 x 8
X = 24
Therefore, Elijah used 24 gigabytes.
The bar diagram can be represented as

Since the denominator is 4, the bar diagram was divided into 4 equal sections.
Each section of the bar represents 8.

Question 5.
Mathematical Practice 4 Model Math Jeremy used $$\frac{5}{6}$$ of a loaf of bread throughout the week. If there were 24 slices of bread, how many slices did Jeremy use?
The amount of bread Jeremy used = 5/6
The estimated slices of bread = 24
The number of slices she used = X
X = 5/6 x 24
X = 5 x 4
X = 20
Therefore, she uses 20 slices.
The bar diagram can be represented as:

Since the denominator is 6, the bar diagram was divided into 6 equal sections.
Each section of the bar represents 4.

Question 6.
Write a real-world problem that could represent the bar diagram shown.

The real-world problem could be sham had $15 to spend at the store. She spent 3/5 of the money he had on drinks. How much did she spend? Shamvitha spent$9.