#### Solved Examples and Worksheet for Subtracting Decimals using Models to Hundredths

Q1Choose the subtraction sentence for the grid shown. A. 0.39 - 0.06
B. 0.29 - 0.6
C. 0.3 - 0.5
D. 0.29 - 0.06

Step: 1
The figure shown is a hundredths grid.
Step: 2
In the grid, 29 squares are shaded.
Step: 3
The decimal number that represents the shaded squares is 0.29.
Step: 4
Out of 29 squares, 6 squares are crossed.
Step: 5
The decimal number that represents the crossed out squares is 0.06.
Step: 6
The subtraction sentence that represents the shaded squares of the grid but not crossed out is 0.29 - 0.06.
Correct Answer is :   0.29 - 0.06
Q2Find the difference between the decimals represented by the models. A. 0.10
B. 0
C. 0.45
D. 0.26

Step: 1
First model represents the decimal 0.35.
Step: 2
Second model represents the decimal 0.25.
Step: 3
The difference between the decimals represented by the models = 0.35 - 0.25 = 0.10.
[Subtract.]
Q32.42 - 0.56 =? A. 1.86
B. 3.18
C. 2.08
D. 4.02

Step: 1
In the model shown, the blocks are divided into hundredths.
Step: 2
The completely shaded block represents the whole number 1. There are two partially shaded blocks. One block shows 42 hundredths shaded, and the other block shows 56 hundredths shaded.
Step: 3
To subtract, regroup one of the completely shaded blocks into hundredths and combine it with 42 hundredths.
Step: 4
142 hundredths - 56 hundredths = 86 hundredths.
[Subtract.]
Step: 5
As one of the wholes was regrouped to subtract, only one whole block remains. Combine that 1 whole with 86 hundredths to get 1.86.
Step: 6
So, the model shows that 2.42 - 0.56 = 1.86.
Q41.82 - 0.27 =? A. 2.05
B. 1.47
C. 1.55
D. 1.45

Step: 1
In the model shown, the blocks are divided into hundredths.
Step: 2
The completely shaded block represents the whole number 1. There are two partially shaded blocks. One block shows 82 hundredths shaded, and the other block shows 27 hundredths shaded.
Step: 3
First subtract the hundredths: 0.82 - 0.27 = 0.55.
Step: 4
There is only one whole block. Combine that 1 whole with 55 hundredths to get 1.55.
Step: 5
So, the model shows that 1.82 - 0.27 = 1.55.
Q50.50 - 0.05 =? A. 0.75
B. 0.45
C. 0.10
D. 0.55

Step: 1
In the model shown, the blocks are divided into hundredths.
Step: 2
There are two partially shaded blocks. One block shows 50 hundredths shaded, and the other block shows 5 hundredths shaded.
Step: 3
Subtract the hundredths: 0.50 - 0.05 = 0.45.
Step: 4
So, the model shows that 0.50 - 0.05 = 0.45.
Q6Identify the subtraction sentence for the grid shown. A. 0.72 - 0.15
B. 0.63 - 0.16
C. 0.52 - 0.14
D. 0.72 - 0.14

Step: 1
The figure shown is a hundredths grid.
Step: 2
In the grid, 72squares are shaded.
Step: 3
The decimal number that represents the shaded squares is 0.72.
Step: 4
Out of 72 squares, 14 squares are crossed.
Step: 5
The decimal number that represents the crossed out squares is 0.14.
Step: 6
The subtraction sentence that represents the shaded squares but not crossed out is 0.72 - 0.14.
Correct Answer is :   0.72 - 0.14
Q7Identify the subtraction sentence for the grid shown. A. 0.69 - 0.13
B. 0.65 - 0.15
C. 0.59 - 0.12
D. 0.69 - 0.12

Step: 1
The figure shown is a hundredths grid.
Step: 2
In the grid, 59 squares are shaded.
Step: 3
The decimal number that represents the shaded squares is 0.59.
Step: 4
Out of 59 squares, 12 squares are crossed.
Step: 5
The decimal number that represents the crossed out squares is 0.12.
Step: 6
The subtraction sentence that represents the shaded squares of the grid but not crossed out is 0.59 - 0.12.
Correct Answer is :   0.59 - 0.12
Q8Identify the subtraction sentence for the grid shown. A. 0.50 - 0.14
B. 0.50 - 0.15
C. 0.60 - 0.14
D. 0.64 - 0.14

Step: 1
The figure shown is a hundredths grid.
Step: 2
In the grid, 50 squares are shaded.
Step: 3
The decimal number that represents the shaded squares is 0.50.
Step: 4
Out of 50 squares, 14 squares are crossed.
Step: 5
The decimal number that represents the crossed out squares is 0.14.
Step: 6
The subtraction sentence that represents the shaded squares of the grid but not crossed out is 0.50 - 0.14.
Correct Answer is :   0.50 - 0.14
Q9Identify the subtraction sentence for the grid shown. A. 0.52 - 0.8
B. 0.38 - 0.09
C. 0.58 - 0.08
D. 0.48 - 0.08

Step: 1
The figure shown is a hundredths grid.
Step: 2
In the grid, 58 squares are shaded.
Step: 3
The decimal number that represents the shaded squares is 0.58.
Step: 4
Out of 58 squares, 8 squares are crossed.
Step: 5
The decimal number that represents the crossed out squares is 0.08.
Step: 6
The subtraction sentence that represents the shaded squares of the grid but not crossed out is 0.58 - 0.08.
Correct Answer is :   0.58 - 0.08
Q10Identify the subtraction sentence for the grid shown. A. 0.15 - 0.06
B. 0.18 - 0.07
C. 0.19 - 0.6
D. 0.19 - 0.07

Step: 1
The figure shown is a hundredths grid
Step: 2
In the grid, 19 squares are shaded.
Step: 3
The decimal number that represents the shaded squares is 0.19.
Step: 4
Out of 19 squares, 7 squares are crossed.
Step: 5
The decimal number that represents the crossed out squares is 0.07.
Step: 6
The subtraction sentence that represents the shaded squares of the grid but not crossed out is 0.19 - 0.07.
Correct Answer is :   0.19 - 0.07