All the solutions provided in **McGraw Hill My Math Grade 4 Answer Key PDF Chapter 10 Lesson 1 Place Value Through Tenths and Hundredths **will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 4 Answer Key Chapter 10 Lesson 1 Place Value Through Tenths and Hundredths

A decimal is a number that uses place value and a decimal point to show part of a whole.

**Build It**

Kendra has 1 dollar, 3 dimes, and 5 pennies. Model this amount using a place-value chart.

You know that one dollar is equal to _______________ cents.

One dollar is one whole. So, write 1 in the ones place.

One dime is one of 10 equal parts of a dollar. One of 10 equal parts is one tenth.

So, one dime is one tenth, or \(\frac{1}{10}\) of a dollar.

Kendra has ________________ dimes. Write 3 in the tenths place.

One penny is one of 100 equal parts of a dollar. One of 100 equal parts ¡s one hundredth.

So one penny is one hundredth, or \(\frac{1}{100}\) of a dollar.

Kendra has ______________ pennies. Write 5 in the hundredths place.

The decimal that represents the amount of money Kendra has, in dollars, is $1.35.

Answer: i) one dollar is equal to **100** cents.

ii) Kendra has **3** dimes.

iii) Kendra has **5** pennies.

You can use models to represent decimals.

**Try It**

Complete the place-value chart that represents the fraction of the grid that is shaded at the right.

There are ______________ squares shaded out of a total of _____________ squares.

In words, this is forty-two hundredths.

This is the same as 4 tenths and 2 hundredths.

So, write 4 tenths and 2 hundredths in the place-value chart.

Answer:

There are **42** squares shaded out of a total of **100** squares.

**Talk About It**

Question 1.

**Mathematical PRACTICE** Use Number Sense Paulo has 6 dimes. Marc has 6 pennies. How many times greater is the value of 6 dimes than 6 pennies? Explain.

Answer: 10 times

It is 10 times greater because 60 pennies=6 dimes

**Practice It**

**Complete the place-value chart that represents each set of dollar bills and coins.**

Question 2.

0 dollars, 4 dimes, 8 pennies

Answer: 0.48

ones place represent dollars, here 0 dollar

tenths place represents dimes (10 dimes = 1 dollar), here 4 dimes

hundredths place represent pennies (100 pennies = 1 dollar), here 8 pennies

Question 3.

2 dollars, 9 dimes, 1 penny

Answer: 2.91

ones place represent dollars, here 2 dollars

tenths place represents dimes (10 dimes = 1 dollar), here 9 dimes

hundredths place represent pennies (100 pennies = 1 dollar), here 1 penny

**Write the decimal represented by each model.**

Question 4.

Answer: 0.3

3 out of 10 parts are in green color.

Therefore, 3 divided by 10 gives 0.3 as decimal

Question 5.

Answer: 0.63

63 parts out of 100 are in green color

Therefore, 63 divided by 100 gives 0.63 as decimal

**Write each decimal.**

Question 6.

two tenths

Answer: 0.2

two tenths is 2 divided by 10 which is 0.2 in decimal

Question 7.

twenty-five hundredths

Answer: 0.25

twenty five hundredths is 25 divided by hundred which is 0.25 in decimal

Question 8.

forty-nine hundredths

Answer: 0.49

forty-nine hundredths is 49 divided by hundred which is 0.49 in decimal

Question 9.

seventy-three hundredths

Answer: 0.73

seventy-three hundredths is 73 divided by hundred which is 0.73 in decimal

**Shade each model to represent each decimal.**

Question 10.

0.7

Answer:

0.7 in decimal means 7 divided by 10

In the above figure, pink color represents 7 parts out of total 10 parts

Question 11.

0.51

Answer:

0.51 in decimal means 51 divided by 100

In the above figure, blue color represents 51 parts out of total 100 parts

Question 12.

Circle the greater decimal in Exercises 10 and 11.

Answer: 0.7 > 0.51

0.7 in exercise 10 is greater than 0.51 in exercise 11

**Apply It**

Question 13.

A flower has ten petals. During a storm, five of the petals fall off. Write a decimal to show what part of the petals is left.

Answer: 0.5

5 petals fall of from 10 petals of the flower.

So, remaining petals are 5 which is 0.5 in decimal

yellow color parts in above figure represents the required parts

Question 14.

A movie theater has loo seats. Seventy-eight of the seats are full. What decimal shows the part of the seats that are full?

Answer: 0.78

78 out of 100 seats are full, which is represented in yellow color, 0.78 in decimal

Question 15.

**Mathematical PRACTICE** Model Math Write a real-world problem that results in an answer of 0.58.

Answer: There are 58 girls in a class of 100 students. So, 0.58 as a decimal represents total number of girls in a class.

**Write About It**

Question 16.

How can I relate decimals to a place-value chart?

Answer: The place values of the digits in a decimal number are displayed on the decimal place value chart. We know that place value is the numerical value represented by a digit in a number. Therefore, just like the other place value charts, decimal place value charts are used to identify the correct position of all the digits in a decimal number. This chart indicates the place value of the digits that are given before the decimal point and after the decimal point.

The place values before the decimal point start with ones, followed by tens, hundreds, and so forth, while the place values following the decimal point start from tenths, followed by hundredths, then thousandths, and so forth. The fractional portion of the number is represented by the place value that follows the decimal. The number 0.56, for instance, is composed of 5 tenths and 6 hundredths. Additionally, this can be expressed as 0.56 = 0.5 + 0.06. In other terms, 0.56 is \(\frac{5}{10}\) plus \(\frac{6}{100}\).

### McGraw Hill My Math Grade 4 Chapter 10 Lesson 1 My Homework Answer Key

**Practice**

**Write the decimal represented by each model.**

Question 1.

Answer: 0.13

13 parts are in blue color out of 100 parts. So when you divide 13 by 100, we will get 0.13 as decimal.

Question 2.

Answer: 0.71

71 parts are in blue color out of 100 parts. So when you divide 71 by 100, we will get 0.71 as decimal.

**Problem Solving**

Question 3.

Kristy has 100 buttons in her button collection. She has 24 red buttons. Write a decimal to show the part of her collection of buttons that is red.

Answer: 0.24

24 buttons are in red color out of 100 buttons. So when you divide 24 by 100, we will get 0.24 as decimal.

Question 4.

Harry and Dario went to the county fair. There were ten rides, but they only had time to ride six. What decimal shows the part of the rides that they rode?

Answer: 0.6

they rode 6 rides out of 10 rides, which is represented in blue color in the above.

If you divide 6 by 10, then 0.6 is the decimal number.

Question 5.

There are ten swings on the playground. Eight children are swinging on the swings. Write a decimal to show the part of the swings that are being used.

Answer: 0.8

The blue color parts in the above block represents 8 swings that are being used out of 10, which is 0.8 in decimal.

Question 6.

There are 100 students in the fourth grade. Five of these students are absent today. Write a decimal to show the part of the students that are absent.

Answer: 0.05

There are 5 students that are absent out of 100 students, which is represented in blue color

If you divide 5 by 100, then we will get 0.05 as decimal.

**Vocabulary Check**

**Draw a line to match each word to its definition.**

Answer:

7. Decimal is defined as a number that uses place value and a decimal point to show part of a whole

8. Tenth is defined as one part of ten equal parts

9. Hundredth is defined as one part of one hundred equal parts.