﻿ Decimal Worksheets | Problems & Solutions

# Decimal Worksheets

Decimal Worksheets
• Page 1
1.
The table shows the cost of items.
 Item Cost Cheeseburger $4.15 Soda$0.75 Fruit Juice $1.63 Hamburger$2.15

Anna has \$3.50. Which 2 items can she buy?
 a. Cheeseburger and Soda b. Hamburger and Soda c. Hamburger and Cheeseburger d. Hamburger and Fruit Juice

2.
Which of the models represents the number 1.30?

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

#### Solution:

In the number 1.30, the integer value is 1. So, 1 is represented by a complete grid.

The digit in the tenths position is represented by 10 hundredths, that is 10 colored pieces.

In the number, the digit in the tenths place is 3 and so, its value is represented by 3 tenths, which is 3 × 10 = 30 hundredths.

So, the model in the Model 2 represents the number 1.30.

3.
Represent 0.92 in the form of a grid model.

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

#### Solution:

In each grid there are a total of 100 pieces. So each piece represents one hundredth.

In the number, the integer part is zero. So, there should not be a completely shaded grid. In all the four choices, there is no completely shaded grid.

The digit in the tenths position is 9. So, it is represented by 9 tenths, that is 9 × 10 = 90 shaded pieces.

The digit in the hundredths place, which is 2 is represented by 2 hundredths, that is 2 shaded pieces.

So, 0.92 is represented by 90 + 2 = 92 hundredths. Thus, Model 1 is the correct answer.

4.
Which of the following represents the model?

 a. sixty two hundredths b. sixty four hundredths c. thirty six hundredths d. forty hundredths

#### Solution:

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

Thirty six out of 100 pieces of the model are shaded.

The model represents thirty six hundredths.

5.
Determine whether the decimals represented by the two models are equal or not.

 a. No b. Yes

#### Solution:

The figure A represents a hundredths model. Thirty out of 100 square pieces are shaded. The model A represents = 0.30

The figure B represents a tenths model. 3 out of 10 strips are shaded. The model B represents = 0.3

Since zero after the decimal has no significance, 0.30 = 0.3

6.
What is the number represented by the grid model?

 a. 1.55 b. 55 c. 0.55 d. 0.5

#### Solution:

In the above given grid model, 55 out of 100 squares are filled.

Each square represents one hundredth, 55 squares represent 55 hundredths.

It can be read as "Fifty five hundredths" and represented by 0.55.

7.
What is the number represented by the grid model?

 a. 4.8 b. 0.48 c. 0.048 d. 48

#### Solution:

In the above figure, 48 out of 100 squares are shaded.

Each shaded square represent one hundredth.

48 shaded squares represent 48 hundredths and is written as 0.48.

8.
How many hundredths are equivalent to 7 tenths?
 a. 7 hundredths b. 70 hundredths c. 7 thousandths d. None of the above

#### Solution:

Seven tenths = 0.7

Draw the model that represents 7 tenths.

Divide the above model into hundredths and shade 70 squares. This represents 0.70

70 hundredths = 7 tenths
[Since zero after the decimal has no value, 0.70 = 0.7]

9.
A square cake is cut horizontally and vertically into 100 equal pieces. Chris got 11 pieces of the cake. Write the decimal equivalent.

 a. 0.101 b. 0.11 c. 0.01 d. 0.011

#### Solution:

Each piece represents a hundredths place.

Eleven out of 100 pieces represents eleven hundredths = 11 / 100 = 0.11

So, Chris got 0.11 part of the cake.

10.
Which of the models represents 0.4?

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

#### Solution:

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

0.4 in the tenths model should have 4 colored strips out of ten equally spaced strips.

From the models, model 3 have the four colored strips.