Solved Examples and Worksheet for Adding Decimals using Models to Hundredths

Q1Which of the following best represents the model?


A. 0.02 + 0.08
B. 0.02 + 0.80
C. 0.20 + 0.80
D. 0.03 + 0.70

Solutions
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Step: 1
The decimals represented by the two models are 20 hundredths, 80 hundredths or 0.20, 0.80.
Step: 2
The combined model represents 0.20 + 0.80
Correct Answer is :   0.20 + 0.80
Q2Find out the expression that correctly represents the given model.


A. 0.52 + 0.55
B. 0.52 - 0.5
C. 0.25 - 0.15
D. 0.52 - 0.55

Solutions
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Step: 1
The two given models represent 0.52 and 0.55.
Step: 2
The combined model represents 0.52 + 0.55.
Correct Answer is :   0.52 + 0.55
Q3Find the sum of the decimals the model represents.

A. 0.40
B. 0.62
C. 0.48
D. 0.80

Solutions
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Step: 1
The two given models represent 0.20 and 0.28.
Step: 2
The combined model represents the sum of 0.20 + 0.28 = 0.48
Correct Answer is :   0.48
Q4Find the sum of the models.


A. 0.55
B. 1.67
C. 0.90
D. 1.24

Solutions
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Step: 1
Each model represents the decimal number 0.45.
Step: 2
Sum of the two models = 0.45 + 0.45 = 0.90.
Correct Answer is :   0.90
Q5Find the sum of the models.


A. 0.88
B. 0.76
C. 0.55
D. 0.64

Solutions
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Step: 1
The decimal represented by the first model is 0.52.
Step: 2
And the decimal represented by the second model is 0.36.
Step: 3
Sum of the two models = 0.52 + 0.36 = 0.88.
Correct Answer is :   0.88
Q6What does the combined model represent?

A. 0.28
B. 0.98
C. 1.26
D. 0.40

Solutions
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Step: 1
First model represents 25 hundredths = 0.25.
Step: 2
Second model represents 15 hundredths = 0.15.
Step: 3
Combined model represents the sum of 0.25 and 0.15 = 0.25 + 0.15 = 0.40.
  [Add.]
Correct Answer is :   0.40
Q7Find 0.75 + 0.55


A. 1.59
B. 0.55
C. 0.25
D. 1.30

Solutions
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Step: 1
In the hundredth's grid , each column shows 0.1 and each square represents 0.01.
Step: 2
The crossed squares represent 0.75 and the shaded squares represent the decimal 0.55.
Step: 3
The total number of crossed and shaded squares together represents the sum of the decimals 0.75 and 0.55.
Step: 4
The sum is 1.30.
Correct Answer is :   1.30
Q8Identify the addition sentence for the grid shown.

A. 0.29 + 0.42
B. 0.39 + 0.32
C. 0.39 + 0.41
D. 0.20 + 0.21

Solutions
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Step: 1
The figure shown is a hundredths grid.
Step: 2
The grid is shaded with orange and gray colors.
Step: 3
The decimal number for the orange color shaded squares is 0.39.
Step: 4
The decimal number for the gray color shaded squares is 0.41.
Step: 5
The addition sentence that represents the shaded squares of the grid is 0.39 + 0.41.
Correct Answer is :   0.39 + 0.41
Q9Identify the addition sentence for the grid shown.


A. 0.36 + 0.19
B. 0.46 + 0.19
C. 0.36 + 0.18
D. 0.56 + 0.19

Solutions
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Step: 1
The figure shown is a hundredths grid.
Step: 2
The grid is shaded with gray and blue colors.
Step: 3
The decimal number for the gray color shaded squares is 0.36.
Step: 4
The decimal number for the blue color shaded squares is 0.18.
Step: 5
The addition sentence that represents the shaded squares of the grid is 0.36 + 0.18.
Correct Answer is :   0.36 + 0.18
Q10Identify the addition sentence for the grid shown.

A. 0.12 + 0.26
B. 0.12 + 0.28
C. 0.32 + 0.18
D. 0.22 + 0.38

Solutions
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Step: 1
The figure shown is a hundredths grid.
Step: 2
The grid is shaded with blue and pink colors.
Step: 3
The decimal number for the blue color shaded squares is 0.22.
Step: 4
The decimal number for the pink color shaded squares is 0.38.
Step: 5
The addition sentence that represents the shaded squares of the grid is 0.22 + 0.38.
Correct Answer is :   0.22 + 0.38
Q11Identify the addition sentence for the grid shown.

A. 0.32 + 0.23
B. 0.32 + 0.24
C. 0.32 + 0.33
D. 0.13 + 0.24

Solutions
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Step: 1
The figure shown is a hundredths grid.
Step: 2
The grid is shaded with yellow and gray colors.
Step: 3
The decimal number for the yellow color shaded squares is 0.13.
Step: 4
The decimal number for the gray color shaded squares is 0.24.
Step: 5
The addition sentence that represents the shaded squares of the grid is 0.13 + 0.24.
Correct Answer is :   0.13 + 0.24
Q12Identify the addition sentence for the grid shown.

A. 0.44 + 0.19
B. 0.19 + 0.34
C. 0.34 + 0.18
D. 0.44 + 0.18

Solutions
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Step: 1
The figure shown is a hundredths grid.
Step: 2
The grid is shaded with blue and yellow colors.
Step: 3
The decimal number for the blue color shaded squares is 0.19.
Step: 4
The decimal number for the yellow color shaded squares is 0.34.
Step: 5
The addition sentence that represents the shaded squares of the grid is 0.19 + 0.34.
Correct Answer is :   0.19 + 0.34

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