Examples with solutions for All Operations in Decimal Fractions: Basic subtraction

Exercise #1

0.250.1= 0.25-0.1=

Video Solution

Step-by-Step Solution

To solve the subtraction problem 0.250.10.25 - 0.1, follow these steps:

  • Step 1: Align the numbers vertically, ensuring that the decimal points line up:
  •    0.25
    -  0.10
    -------
    

  • Step 2: Start subtracting from the rightmost column. The tenths position involves subtracting 55 from 00, resulting in 55.
  • Step 3: Move to the next column to the left. Subtract 0.10.1 from 0.20.2, which gives 0.150.15.
  • Step 4: The integer part of both numbers is zero, there is nothing to subtract here.

The result of the subtraction is 0.150.15.

Answer

0.15 0.15

Exercise #2

15.83.5= 15.8-3.5=

Video Solution

Step-by-Step Solution

To solve the problem 15.83.515.8 - 3.5, we will perform decimal subtraction:

  • Step 1: Align the decimal places.
    Write the numbers so their decimal points are lined up:
    15.83.5 \quad 15.8\\ - \, 3.5\\ --------
  • Step 2: Subtract the numbers column by column.
    - Start from the rightmost digit (tenths place), 85=38 - 5 = 3. Write 33 under the line in the tenths place.
    - Move to the next left column (ones place), 53=25 - 3 = 2. Write 22 in the ones place.
    - The digit in the tens place 11 moves straight down as there is no number to subtract from.
    15.83.512.3 \quad 15.8\\ - \, 3.5\\ \underline{--------}\\ \quad 12.3
  • Step 3: Conclude with the final answer.
    The result of 15.83.515.8 - 3.5 is 12.312.3.

Therefore, the correct answer is: 12.312.3.

Answer

12.3

Exercise #3

5.72.3= 5.7-2.3= ?

Video Solution

Step-by-Step Solution

Let's solve the problem step by step:

  • Step 1: Align the numbers by their decimal points:
    5.72.3\begin{array}{c} 5.7 \\ - 2.3 \\ \hline \end{array}
  • Step 2: Subtract the digits in the tenths place 73=47 - 3 = 4.
  • Step 3: Subtract the digits in the units place 52=35 - 2 = 3.
  • Step 4: Write down the result by combining both differences, making sure to keep the decimal point aligned: 3.43.4.

Therefore, the solution to the problem is 3.4 3.4 .

Answer

3.4

Exercise #4

6.84.2= 6.8-4.2=

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Align the numbers by their decimal points.
  • Step 2: Subtract the subtrahend from the minuend.
  • Step 3: Place the decimal point in the answer, directly aligned with the decimal points of the numbers.

Now, let's work through each step:
Step 1: Align the numbers, 6.86.8 and 4.24.2, by their decimal points:

6.8 6.8
4.2-4.2
9.9\underline{\phantom{9.9}}

Step 2: Subtract each digit starting from the rightmost end (tenths place). Subtract 22 from 88 to get 66.
Then subtract 44 from 66 to get 22.

6.8 6.8
4.2-4.2
2.6\underline{2.6}

Step 3: Make sure to align the decimal point in the answer with the other decimal points. The result is 2.62.6.

Therefore, the solution to the problem is 2.6 2.6 .

Answer

2.6

Exercise #5

7.95.3= 7.9-5.3=

Video Solution

Step-by-Step Solution

To solve the subtraction problem 7.95.3 7.9 - 5.3 , we will follow a simple step-by-step process:

  • Step 1: Align the decimal points of both numbers. Write 7.9 7.9 directly above 5.3 5.3 such that the decimal points are lined up vertically.

  • Step 2: Perform the subtraction from right to left. Start with the tenths place:
    Subtract 3 3 (from 5.3) from 9 9 (from 7.9) in the tenths place, resulting in 6 6 .

  • Step 3: Move to the units place:
    Subtract 5 5 (from 5.3) from 7 7 (from 7.9) in the units place, resulting in 2 2 .

After subtracting, we find the result of the operation 7.95.3 7.9 - 5.3 is 2.6 2.6 .

Therefore, the solution to the problem is2.6 2.6 .

Answer

2.6