﻿ Writing Decimals Worksheet | Problems & Solutions

# Writing Decimals Worksheet

Writing Decimals Worksheet
• Page 1
1.
Choose the decimal value that the model represents.

 a. 0.24 b. 0.28 c. 0.34 d. 0.26

#### Solution:

The above figure represents a hundredths model formed by drawing ten equally spaced vertical lines, each divided by ten equally spaced horizontal lines.

Twenty-four out of hundred square pieces of the model are shaded.

The model represents twenty-four hundredths, or 0.24.

2.
The shaded region on the grid represents forty hundredths. How is this decimal written as a numeral?

 a. 0.48 b. 0.42 c. 0.46 d. 0.4

#### Solution:

Forty hundredths means 40 / 100.

The decimal represented by the model = 40 / 100 = 0.40.

3.
Choose the decimal for the number that represents the shaded portion in the model.

 a. 0.36 b. 0.32 c. 0.38 d. 0.3

#### Solution:

The above figure represents a hundredths model formed by drawing ten equally spaced vertical lines, each divided by ten equally spaced horizontal lines.

The fraction of the number of the squares shaded = 36 hundredths = 36 / 100.
[The number of squares shaded = 36.]

The decimal that represents the number of squares shaded = 0.36.

4.
What decimal does this model represent?

 a. 1.5 b. 15 c. 0.15 d. 5.1

#### Solution:

There are two grids, each grid is divided into ten equal parts.

The first grid is 10 tenths and is hence 1 whole and the second grid five tenths. 15 / 10 describes the grid correctly.

The word name to represent the number shown by the grid is one and five tenths or can be written as 1.5 in decimal form.
[10 tenths = 1 whole which represents the first grid as the whole grid is colored.]

5.
Which of the models represents 0.9?

 a. Model 4 b. Model 2 c. Model 3 d. Model 1

#### Solution:

Each strip in the tenths model represents one tenth of the model = 0.1.

So, 0.9 in the tenths model should have 9 colored strips out of ten equally spaced strips.
[Since 0.9 = 0.1 × 9.]

Among the choices, Model 4 represents the decimal 0.9.
[Model 4 contains 9 equal strips (tenths).]

6.
Identify the decimal that the shaded area shows.

 a. 0.5 b. 5 c. 0.6 d. 0.4

#### Solution:

The given figure resembles a tenths grid where the numbers from 1 to 10 are represented from left to right.

Out of 10 grids, 5 are shaded. Therefore the decimal that the shaded area shows is 0.5.

7.
Identify the word name for the decimal that the shaded area represents.

 a. ten tenths b. seven tens c. three tenths d. seven tenths

#### Solution:

The decimal represented by the shaded area is 0.7.
[Seven out of ten equal parts are shaded in the tenths grid shown.]

So the word name for the decimal shown is seven tenths.

8.
Which of the figures represents 0.4?

 a. Figure 4 b. Figure 2 c. Figure 1 d. Figure 3

#### Solution:

The given figure resembles a tenths grid, where the numbers from 1 to 10 are represented from left to right.

The shaded area in the tenths grid represents the decimal.

Therefore the decimal 0.4 is represented by Figure 3.

9.
Which of the following is the word name for the decimal represented by the shaded area?

 a. four tenths b. three tens c. seven tenths d. three tenths

#### Solution:

The decimal represented by the shaded area is 0.3.
[Three out of ten equal parts are shaded in the tenths grid shown.]

So, the word name for the decimal shown is three tenths.

10.
Choose the word name for the decimal represented by the shaded area.

 a. one and five tenths b. nine tenths c. five tenths d. eight tenths

#### Solution:

The decimal represented by the shaded area is 1.5.
[There are two tenths grids shown with the first one being completely shaded and in the second one, five out of ten equal parts are shaded.]

So, the word name for the decimal shown is one and five tenths.