Subtract Decimals: Finding 5.4 - 0.21 Step by Step

Question

5.40.21-

Video Solution

Solution Steps

00:00 Solve
00:03 Place 0 in missing digits, position the decimal point:
00:06 Let's subtract from right to left
00:09 The digit is too small for subtraction, so we'll borrow from the next
00:12 The next digit will decrease by 1, and our digit will increase by 10
00:18 Now subtract from the larger number
00:21 Calculate and place accordingly
00:28 Continue to subtract, calculate and place accordingly
00:46 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will subtract the decimal number 0.210.21 from 5.45.4 by following these steps:

  • Step 1: Align the decimal points in both numbers.

  • Step 2: Note that 5.45.4 can be written as 5.405.40 to facilitate subtraction.

  • Step 3: Subtract 0.210.21 from 5.405.40 by starting from the rightmost decimal place.

Now, let's work through each step:

Step 1: Align the decimals:
5amp;.4  0amp;.213232 \begin{aligned} 5&.4\\ - ~~0&.21\\ \hline{\phantom{3232}} \end{aligned}

Step 2: Perform the subtraction, starting from the rightmost digit:

  • Subtract the hundredths column: 010 - 1 requires borrowing.
    From 44 in the tenths column, reduce it to 33, making the hundredth column 1010, then 101=910 - 1 = 9.

  • Subtract the tenths column: 32=13 - 2 = 1.

  • Subtract the units column: 50=55 - 0 = 5.

The result of the subtraction is:
    5.19     5.19

Therefore, the solution to the problem is 5.195.19.

Answer

5.19