Adding And Subtracting Decimals Rules

Addition and Subtraction of Decimals

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

To add decimal numbers follow the step beneath.
Footstep 1: Line up the numbers vertically and then that the decimal points all lie on a vertical line. Step 2: Add extra zeros to the correct of the number so that each number has the same number of digits to the right of the decimal place. Step iii: Add the numbers every bit you would whole numbers. Place the decimal point of the result in line with the other decimal points. Example

Add together 93.59 + four.7
Solution
1. 93 . 59 Observe the decimal points in line.
  4 . vii
2. 93.59 We added this 0 so both numbers have 2 digits to the right
  4.7 0 of the decimal bespeak. ₁
3. 93.59
  + 4.seventy
  98.29
Example

Add 135 + 44.571 + two.01
Solution
1. 135 . Notice the decimal points in line.
  44 . 571
  ii . 01
2. 135.000 Nosotros added these 0s and then all three numbers have 3 digits
  44.571 to the correct of the decimal point.
  2.010
  _one
3. 135.000
  44.571
  + 2.010
  181.581
Exercises Add (Hold your mouse over the yellow rectangle for the solution)
1. 28.53 + 34.921
2. 34.7 + 8.901 + 192
Subtraction of DecimalsSubtraction of decimals is carried out in a like way. We line up the decimals vertically, tack on actress zeros to the right, and subtract downwardly. More than specifically, follow the steps below
Step 1: Line up the numbers vertically and then that the decimal points all lie on a vertical line. Pace ii: Add actress 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 bespeak of the result in line with the other decimal points. Example

Subtract 34.91 - fourteen.214
Solution
1. 34 . 91 Notice the decimal points in line.
  14 . 214
2. 34.91 0 We added this 0 and then both numbers have 3 digits to the right
  14.214 of the decimal signal.
3. 34. ⁸ ~~nine~~ ^ten 1 ¹ 0
  - 14. 2 one iv
  20. 6 9 6
Example

Subtract 12.00942 - 12.0087
Solution
1. 12 . 00942 Discover the decimal points in line.
  12 . 0087
2. 12.00942 Nosotros added these 0 so all three numbers take v digits
  12.00870 to the right of the decimal point.
3. 12.00 ^eight 9 ¹ 42
  + 12.00 eight lxx
  0 .00072 Notice the zeros to the right of the decimal bespeak.
Example Notice the value of x if
        x + 52.98 = 67.three
SolutionWe want to make up one's mind what number must be added to 52.78 to go 67.3. The is the reverse of an addition problem, that is a subtraction problem.

        6 ^half-dozen 7. ¹²
3
^one 0
-   five 2.   9 8
14.32

Exercises Add together (Concord your mouse over the yellowish rectangle for the solution)
1. 159.02 - 87.835
2. 198.ix - 198.132
Applications

ExampleY'all accept purchased a new bicycle for $389.98 and a helmet for $23.64 . How much is your total beak?
Solution

Since you are seeking the
full , this is an addition problem. We have
^{1 one 1 1}
389. InstanceA nurse needs to make sure that a patient receives 1.12 liters of fluid during a 24 hour period. The Iv bottle originally independent two.1 liters of fluid. How much fluid should exist left in the IV bottle when the patient has been given the necessary corporeality of fluid for the twenty-four hours?
Solution

Since we are taking abroad one.12 liters from a 2.1 liter canteen, this is a subtraction problem.
^one ~~two~~. ^ten 1 ¹ 0
- one. 1 ii
0.98 The nurse should remove the 4 when it has 0.98 liters of fluid left in it.