Solve the Subtraction: 980 minus 290 Step-by-Step

Three-Digit Subtraction with Borrowing

980290= ? 980-290=\text{ ?}

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

980290= ? 980-290=\text{ ?}

2

Step-by-step solution

To solve the problem, follow these steps:

  • Step 1: Set up the subtraction problem by writing the numbers 980 and 290, aligning them by their place values.
  • Step 2: Subtract the digits starting from the units place:

Let's subtract 290 from 980 as follows:

Begin with the rightmost digits (units place):

00=0 0 - 0 = 0

Move to the next column (tens place):

89 8 - 9

Since 8 8 is less than 9 9 , we must borrow 1 from the hundreds place. The 8 becomes 18, and the result is:

189=9 18 - 9 = 9

Finally, move to the last column (hundreds place):

After borrowing, the hundreds column had one subtracted, changing it from 9 to 8:

92=7 9 - 2 = 7

Thus, the subtraction is completed as follows:

980290=690 980 - 290 = 690

Therefore, the solution to the problem is 690 690 .

3

Final Answer

690 690

Key Points to Remember

Essential concepts to master this topic
  • Rule: When subtracting larger digit from smaller, borrow from left
  • Technique: Convert 8 to 18 by borrowing: 18 - 9 = 9
  • Check: Add answer to subtracted number: 690 + 290 = 980 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce borrowed digit
    Don't keep the hundreds digit as 9 after borrowing = wrong answer 990! When you borrow 1 from hundreds place, it becomes 8, not 9. Always reduce the digit you borrowed from by 1.

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 can't I subtract 9 from 8 directly?

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You cannot subtract a larger digit from a smaller digit in basic arithmetic. When 8 < 9, you must borrow from the next column to make it work!

What happens to the digit I borrow from?

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When you borrow 1 from a digit, that digit decreases by 1. So if you borrow from 9, it becomes 8. Don't forget this step!

How do I know when to borrow?

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Borrow whenever the top digit is smaller than the bottom digit in any column. Look at each column from right to left and borrow as needed.

Can I check my subtraction answer?

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Yes! Add your answer to the number you subtracted. If you get the original number back, your subtraction is correct: 690+290=980 690 + 290 = 980

What if I need to borrow from zero?

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When borrowing from 0, you need to keep borrowing left until you find a non-zero digit. Each 0 becomes 9, and the non-zero digit decreases by 1.

Is there an easier way to do this subtraction?

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You could use mental math tricks like: 980300+10=680+10=690 980 - 300 + 10 = 680 + 10 = 690 , but the standard algorithm with borrowing is most reliable!

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