Back to: Mathematics Primary 4

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**To Add Decimals: **

Adding decimals is very similar to adding whole numbers except with a few extra technical details and bookkeeping. Recall that decimals are just fractions. We add fractions by adding the whole number parts and the fractional parts separately, carrying the 1 from the fractional part if necessary, to the whole number part. For decimals, we line up the decimal points so that the whole number parts line up and the decimal parts line up. Then add each.

To add decimals, follow this step:

1) Line up the decimal points vertically. Fill in any 0’s where necessary.

2) Add or subtract the numbers as if they were whole numbers.

3) Place the decimal point in the sum or difference so that it lines up vertically with the numbers being added or subtracted.

**EXAMPLE 1: **Add 0.56 + 9 + 6.287

To add decimals, line up the decimal points vertically and fill in 0’s as shown:

** 0.560 **

** 9.000 **

** + 6.287 **

** 15.847 **← Place the decimal point in the sum so that it lines up vertically.

**Example** Add 93.59 + 4.7

**Solution**

- 93.59 Notice the decimal points in line.

4.7 - 93.59 We added this 0 so both numbers have 2 digits to the right

4.70 of the decimal point._{1} - 93.59

__+ 4.70__

**98.29**

Add 135 + 44.571 + 2.01

**Solution**

- 135. Notice the decimal points in line.

44.571

2.01 - 135.000 We added these 0s so all three numbers have 3 digits

44.571 to the right of the decimal point.

2.010

_{1} - 135.000

44.571

__+ 2.010__

**181.581**

**Subtraction of Decimal**

Subtraction of decimals is carried out in a similar way. We line up the decimals vertically, tack on extra zeros to the right, and subtract downward. More specifically, follow the steps below

Step 1: Line up the numbers vertically so that the decimal points all lie on a vertical line.

Step 2: Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place.

Step 3: Subtract the numbers as you would whole numbers. Place the decimal point of the result in line with the other decimal points.

**EXAMPLE : **Subtract 3.742 – 10.638

To subtract decimals, line up the decimal points vertically and add 0’s where shown. Remember to borrow when necessary.

** 10.638 **

** –3.742 **

** 6.896 **

Subtract 34.91 – 14.214

**Solution**

- 34.91 Notice the decimal points in line.

14.214 - 34.910 We added this 0 so both numbers have 3 digits to the right

14.214 of the decimal point. - 34.
^{8}9^{10}1^{1}0

__– 14. 2 1 4__

**20. 6 9 6**

**Example**

Subtract 12.00942 – 12.0087

**Solution**

- 12.00942 Notice the decimal points in line.

12.0087 - 12.00942 We added these 0 so all three numbers have 5 digits

12.00870 to the right of the decimal point. - 12.00
^{8}9^{1}42

__+ 12.00 8 70__

**0 .00072**Notice the zeros to the right of the decimal point.

**Example**

Find the value of x if x + 52.98 = 67.3

**Solution**

We want to determine what number must be added to 52.78 to get 67.3. The is the reverse of an addition problem, that is a subtraction problem.

6^{6}7.^{12}3^{1}0

__– 5 2. 9 8__

** 14.32**

**Exercises**

Add (Hold your mouse over the yellow rectangle for the solution)

- 159.02 – 87.835
- 198.9 – 198.132

** **

**Word Problem on Decimals
**

**Example**

A nurse needs to make sure that a patient receives 1.12 liters of fluid during a 24 hour period. The IV bottle originally contained 2.1 liters of fluid. How much fluid should be left in the IV bottle when the patient has been given the necessary amount of fluid for the day?

**Solution**

Since we are taking away 1.12 liters from a 2.1 liter bottle, this is a subtraction problem.

^{1}2.^{10}1^{1}0

__– 1. 1 2__

** 0. 9 8**

The nurse should remove the IV when it has 0.98 liters of fluid left in it

*If the decimals have opposite signs, place the larger decimal on top, line up the decimal points, subtract the numbers, and carry down the sign, as shown: *

**Quiz**

Add

- 28.53 + 34.921
- 34.7 + 8.901 + 192
- 1.452 to 1.3
- 3.25, 0.075 and 5
- What is 7.368 − 1.15 ?
- Check that 7.368 minus 1.15 equals 6.218

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