Calculate 505 - 20.3: Decimal Subtraction in Vertical Format

Decimal Subtraction with Borrowing Across Places

50520.3-

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this math problem together.
00:07 Place a zero in the missing spots, so we can line up the decimal points.
00:12 We'll subtract starting from the right side and move left.
00:16 If a digit is too small to subtract, borrow from the next one.
00:21 Remember, decrease the next digit by one, and add ten to the current digit.
00:26 Now, subtract using the larger numbers.
00:31 Do the math and place each number where it belongs.
00:35 Keep subtracting, calculating, and placing numbers correctly.
00:42 If another digit is too small, just borrow again.
00:46 We use the exact same method each time.
01:00 Calculate and place each number carefully.
01:08 Continue subtracting, calculating, and placing your results.
01:15 And that's how you find the solution to this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

50520.3-

2

Step-by-step solution

To solve this problem, we'll perform the subtraction 50520.3 505 - 20.3 step by step:

  • Step 1: Align the numbers
    Write 505.0 505.0 with a zero added in the tenths place for alignment:
    505.020.3 \begin{array}{c} 505.0 \\ - 20.3 \\ \hline \end{array}
  • Step 2: Perform the subtraction
    Start from the rightmost digit:
    • Tenths column: 03 0 - 3 cannot be done directly, so we borrow 1 from the units column, making it 103=7 10 - 3 = 7 .
    • Units column: Now 52=3 5 - 2 = 3 , after borrowing 1 1 .
    • Tens column: 102=8 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: 40=4 4 - 0 = 4 , after handling the earlier borrow.

After calculating, the result of 50520.3 505 - 20.3 is therefore:

484.7 484.7

Thus, the solution to the problem is 484.7 484.7 .

3

Final Answer

484.7

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Add decimal point and zeros to align place values
  • Borrowing: When subtracting 0 - 3, borrow from units: 10 - 3 = 7
  • Verification: Check by adding: 484.7 + 20.3 should equal 505.0 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning decimal places properly
    Don't subtract 505 - 20.3 without proper alignment = wrong answer like 285! This ignores place values and treats decimals incorrectly. Always align decimal points vertically and add zeros as placeholders.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct writing form:

FAQ

Everything you need to know about this question

Why do I need to add .0 to 505?

+

Adding .0 helps you align the decimal places correctly! It shows that 505 has zero tenths, making it easier to see what you're subtracting from.

What happens when I can't subtract in the tenths place?

+

When you see 03 0 - 3 , you need to borrow 1 from the units place. This makes the tenths place become 103=7 10 - 3 = 7 , and reduces the units place by 1.

How do I keep track of all the borrowing?

+

Work column by column from right to left. When you borrow, cross out the number you're borrowing from and write the new smaller number above it. This keeps everything organized!

Can I check my answer somehow?

+

Yes! Add your answer to the number you subtracted: 484.7+20.3 484.7 + 20.3 . If you get 505.0, your subtraction is correct!

What if there are more decimal places in the problem?

+

The same rules apply! Always align decimal points, add zeros as needed, and borrow when necessary. Take your time with each column.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations