Solve the Subtraction Problem: 8900 minus 490

Multi-Digit Subtraction with Borrowing

Solve the equation:

8900490= 8900-490=

❤️ Continue Your Math Journey!

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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the equation:

8900490= 8900-490=

2

Step-by-step solution

To solve this problem, we will proceed with the following steps:

  • Step 1: Align the Numbers
    We write the numbers 8900 and 490 aligning their digits by place value.
  • Step 2: Begin Subtraction from the Rightmost Digit
    We will subtract each digit starting from the units place (rightmost). The operation will be column by column as follows:
    • Units place: Since there's a zero in 8900 and zero in the units place of 490, we directly have zero. So, 00=00 - 0 = 0.
    • Tens place: There's a zero in the tens place of 8900 and 9 in 490. Here, borrow 1 from the hundreds place reducing it by 1 and converting tens digit to 10. Thus, 109=110 - 9 = 1.
    • Hundreds place: After borrowing, the hundreds digit in 8900 is reduced from 9 to 8. Thus, 84=48 - 4 = 4.
    • Thousands place: Finally, the thousands digit remains unchanged, hence 80=88 - 0 = 8.
  • Step 3: Verify Calculation
    Double-check each subtraction step to avoid errors.

Putting it all together, the subtraction result is 8410 8410 .

Therefore, the solution to the equation 8900490=8410 8900 - 490 = 8410 and the correct answer is choice 3: 8410 8410 .

3

Final Answer

8410 8410

Key Points to Remember

Essential concepts to master this topic
  • Rule: Align digits by place value and subtract column by column
  • Technique: When borrowing, reduce left digit by 1 and add 10 to current digit
  • Check: Add result back: 8410 + 490 = 8900 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed-from digit
    Don't just add 10 to the borrowing digit without reducing the left digit = wrong answer! When you borrow 1 from hundreds place, you must reduce 9 to 8. Always remember borrowing affects both digits involved.

Practice Quiz

Test your knowledge with interactive questions

Choose the correct answer:

\( 693+705=\text{ ?} \)

FAQ

Everything you need to know about this question

Why do I need to borrow when subtracting 9 from 0?

+

You can't subtract a larger number from a smaller one! When you see 0 - 9, you must borrow 1 from the hundreds place, making it 10 - 9 = 1.

What happens to the digit I borrow from?

+

The digit you borrow from gets reduced by 1. In this problem, the hundreds digit changes from 9 to 8 after borrowing for the tens place.

How do I check if my subtraction is correct?

+

Use addition to verify! Add your answer to the number you subtracted: 8410+490=8900 8410 + 490 = 8900 . If you get the original number, you're right!

What if I have to borrow multiple times?

+

Take it one column at a time! Start from the rightmost column and work left. Each borrowing step affects only the two adjacent digits involved.

Can I subtract from left to right instead?

+

No! Always subtract from right to left (ones, then tens, then hundreds). This ensures borrowing works correctly when you need it.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural numbers up to 10,000 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