Simplify Decimals involving Addition and Subtraction Decimals | Questions on Addition and Subtraction of Decimals

Want to learn how to simplify decimals involving addition and subtraction? If so, you have come to the right place where you can get a complete idea of the Simplification of Decimals. Learn the approach used for simplifying decimals involving addition and subtraction so that you can apply the same while solving related problems.  Refer to Worked Out Problems for Decimal Simplification explained in the further modules to clearly understand the concept.

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How to Add or Subtract Decimals?

Go through the simple process available here to simplify decimals involving the addition and subtraction of decimals. They are as follows

  • The first and foremost step is to convert the given decimals to like decimals.
  • Write the decimals one below the other depending on the place value of digits.
  • Later, solve using the order of operation accordingly.

Worked Out Problems on Simplification of Decimals involving Addition and Subtraction

1. Simplify the following 20.10 + 74.38 – 35.69?

Solution:

Converting into like decimals and solving using order of operation.

As the given decimals are all like decimals there is no need to annex zeros. And we can go with the order of operation and simply the expression further.

Step 1: Addition

20.10

74.38

(+)

——–

94.48

——–

Step 2: Subtraction

94.48 – 35.69

Check out the worked out procedure for subtracting 35.69 from 94.48 below

Decimal Subtraction Example

Therefore, the value of 20.10 + 74.38 – 35.69 is 58.79

2. Simplify the following 14.6078 – 0.37 + 0.6?

Solution:

Given decimals are 14.6078, 0.37, 0.6

First convert the given decimals to like decimals. We can do so by simply annexing with zeros i.e. the maximum number of decimal places among the given decimal numbers.

Since the maximum number of decimal places among the given decimal numbers is 4. We will annex with required zeros to make the given decimals to decimal places of 4

By Converting into like decimals we have the following

14.6078 ➙ 14.6078

0.37 ➙ 0.3700

0.6 ➙ 0.6000

Now, that you are done with annexing zeros simplify the given expression as per the order of operations.

Step 1: Subtraction

Check out how decimal 0.3700 is subtracted from the decimal value 14.6078

Subtracting Decimals Example

Step 2: Addition

Align the given decimals as per decimal points so that given decimals are arranged in Proper Decimal Value and then perform Addition of Decimals.

14.2378

0.6000

(+)

——–––

14.8378

——–––

Therefore, the value of 14.6078 – 0.37 + 0.6 is 14.8378

3. What must be added to 19.33 to obtain 47.87?

Solution:

19.33+x = 47.87

x = 47.87-19.33

= 28.54

Thus, 28.54 must be added to 19.33 is 47.87

4. What must be subtracted from 281.6 to obtain 18.88?

Solution:

28.16-x=18.88

Rearranging the given equation we have

28.16-18.88=x

x = 9.28

5. Simplify the following.

75.102 + 64.38 – 25.99

Solution:

First convert the given decimals to like decimals. We can do so by simply annexing with zeros i.e. the maximum number of decimal places among the given decimal numbers.

Amongst the given decimals 75.102 is having the maximum number of decimals i.e. 3

Change the rest of the decimals to like decimals by padding with required number of zeros to make them decimals having 3 decimal places

Converting Unlike Decimals to Like Decimals we have

75.102 ➙ 75.102

64.38 ➙ 64.380

25.99 ➙ 25.990

Step 1: Addition

Look out the decimal addition process for decimals 75.102 and 64.380

Decimal Addition Example

Step 2: Subtraction

139.482-25.990

Decimals Subtraction Example

Thus, the value of 75.102 + 64.38 – 25.99 is 113.492

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