ADDING AND SUBTRACTING DECIMALS WORKSHEET

Problem 1 :

Add the following decimal numbers :

1.23, 0.59, 3.76

Problem 2 :

Subtract 2.56 from 3.79.

Problem 3 :

Add the following decimal numbers :

28.07, 7.6, 0.008

Problem 4 :

Add the following decimal numbers :

14.2, 16, 0.542

Problem 5 :

Add the following decimal numbers :

10.653, 0.065, 3

Problem 6 :

Add the following decimal numbers :

38.056, 24.6, 32

Problem 7 :

Subtract 13.49 from 29.84.

Problem 8 :

Subtract 25.57 from 48.05.

Problem 9 :

Subtract 6.59 from 18.

Problem 10 :

Subtract 3.541 from 8.933.

Problem 11 :

James placed an order for a drum set priced at $81.56 and an electronic organ for $56.74. How much does James have to pay in total once he receives the items?

Problem 12 :

A, B and C are three cities are located as shown below. Distance between the cities A and C is 75.89 miles and distance between the cities B and C is 34.56 miles. Find the distance between the cities A and B.

addingdecimals9.png
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Answers

1. Answer :

= 1.23 + 0.59 + 3.76

addingdecimals7.png

Therefore,

1.23 + 0.59 + 3.76 = 5.58

2. Answer :

= 3.79 - 2.56

subtractingdecimals14.png

Therefore,

3.79 - 2.56 = 1.23

3. Answer :

= 28.07 + 7.6 + 0.008

In the above addition of decimal numbers, we have to take 7.6 as 7.600 and 28.07 as 28.070. Because the last decimal number has 3 digits to the right of the decimal point.

addingdecimals3.png

Therefore,

28.07, 7.6, 0.008 = 35.678

4. Answer :

= 14.2 + 16 + 0.542

In the above addition of decimal numbers, we have to take 14.2 as 14.200 and 16 as 16.000. Because the last number has 3 digits to the right of the decimal point.

addingdecimals4.png

Therefore,

14.2 + 16 + 0.542 = 30.742

5. Answer :

= 10.653 + 0.065 + 3

In the above addition of decimal numbers, we have to take 3 as 3.000. Because, both the first and second numbers have 3 digits to the right of the decimal point.

addingdecimals5.png

Therefore,

10.653 + 0.065 + 3 = 13.718 

6. Answer :

= 38.056 + 24.6 + 32

In the given decimal numbers, the first number 38.056 has more number of digits to the right of the decimal point, that is 3.

So, each of the other numbers must have the same number digits to the right of the decimal point, that is 3.

We have to take 24.6 as 24.600 and 39 as 39.000.

addingdecimals6.png

Therefore,

38.056 + 24.6 + 32 = 94.656

7. Answer :

= 29.84 - 13.49

subtractingdecimals2.png

Consider the digits at hundredths place.

subtractingdecimals3.png

Since 4 is smaller than 9, we can not subtract 9 from 4.

So, borrow 1 from the preceding number 8 and take that 1 in front of 4. Then, 4 will become 14.

Now, subtract the numbers as shown below.

subtractingdecimals4.png

Therefore,

29.84 - 13.49 = 16.35

8. Answer :

= 48.05 - 25.57

subtractingdecimals5.png

Consider the digits at hundredths place.

subtractingdecimals6.png

Since 5 is smaller than 7, we can not subtract 7 from 5.

And also, we can not borrow from 1 from the preceding number of 5 in 48.05. Because, it is zero.

So, borrow 1 from 8 at ones place in 48.05 and take that 1 in front of 0. Then, 0 will become 10.

Subtract 1 from 10 and take that 1 in front of 5. Then, it will become 15.

Now, subtract the numbers as shown below.

subtractingdecimals7.png

Therefore,

48.05 - 25.57 = 22.48

9. Answer :

= 18 - 6.59

In the subtraction of the decimal numbers above, we have to take 18 as 18.00. Because, the second decimal number has 2 digits to the right of the decimal point.

subtractingdecimals8.png

Consider the digits at hundredths place.

subtractingdecimals9.png

Since 0 is smaller than 9, we can not subtract 9 from 0.

And also, we can not borrow from 1 from the preceding number of 0 in 18.00. Because, it is zero.

So, borrow 1 from 8 at ones place in 18.00 and take that 1 in front of 0. Then, 0 will become 10.

Subtract 1 from 10 and take that 1 in front of 0. Then, it will become 10.

Now, subtract the numbers as shown below.

subtractingdecimals10.png

Therefore,

18 - 6.59 = 11.41

10. Answer :

= 8.933 - 3.541

subtractingdecimals11.png

Subtract the digits at thousandths place and consider the digits at hundredths place.

subtractingdecimals12.png

Since 3 is smaller than 4, we can not subtract 4 from 3.

So, borrow 1 from 9 at tenths place in 8.933 and take that 1 in front of 3. Then, 3 will become 13.

Now, subtract the numbers as shown below.

subtractingdecimals13.png

Therefore,

8.933 - 3.541 = 5.392

11. Answer :

To find the total amount of money that James has to pay, add 81.56 and 56.74.

= 81.56 + 56.74

addingdecimals8.png

James has to pay $138.30 for all the items he ordered.

12. Answer :

addingdecimals9.png

From the picture above, distance between the cities A and B :

AB = AC - BC

= 75.89 - 34.56

subtractingdecimals15.png

Distance between the cities A and B is 41.33 miles.

Practice Questions

addingandsubtractingdecimals.png

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