Calculate 505 - 20.3: Decimal Subtraction in Vertical Format

Video Solution

Solution Steps

00:00 Solve

00:03 Place 0 in the missing digits, we'll position the decimal point

00:07 We'll start subtracting from right to left

00:10 The digit is too small for subtraction, so we'll borrow from the next one

00:14 The next digit will decrease by 1, and our digit will increase by 10

00:22 Now we'll subtract from the larger number

00:27 Calculate and place accordingly

00:31 Continue subtracting, calculating, and placing accordingly

00:38 Again the digit is too small for subtraction, so we'll borrow from the next one

00:42 We'll use the same method

00:56 Calculate and place accordingly

01:04 Continue subtracting, calculating, and placing accordingly

01:11 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll perform the subtraction $505 - 20.3$ step by step:

Step 1: Align the numbers
Write $505.0$ with a zero added in the tenths place for alignment:
$\begin{array}{c} 505.0 \\ - 20.3 \\ \hline \end{array}$
Step 2: Perform the subtraction
Start from the rightmost digit:
- Tenths column: $0 - 3$ cannot be done directly, so we borrow 1 from the units column, making it $10 - 3 = 7$ .
- Units column: Now $5 - 2 = 3$ , after borrowing $1$ .
- Tens column: $10 - 2 = 8$ because we've borrowed 1 earlier adding to the initial 0, leaving the column value as 4 from the hundreds place.
- Hundreds column: $4 - 0 = 4$ , after handling the earlier borrow.

After calculating, the result of $505 - 20.3$ is therefore:

$484.7$

Thus, the solution to the problem is $484.7$ .