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

Solve the exercise using the structure table below:


\( 5896+1256= \)

OnesTensHundredsThousandsBeforeConversionAfterConversion

FAQ

Everything you need to know about this question

Why can't I subtract 9 from 8 directly?

+

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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