Solve the Subtraction: 96,440 - 2,100 Step by Step

Multi-Digit Subtraction with Place Value Alignment

Complete the following equation:

96,4402,100= 96,440-2,100=

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Step-by-step written solution

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1

Understand the problem

Complete the following equation:

96,4402,100= 96,440-2,100=

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Step-by-step solution

To solve the problem 96,4402,100 96,440 - 2,100 , follow these straightforward steps:

  • Write down the original number: 96,440 96,440 .
  • Subtract each digit of 2,100 2,100 from 96,440 96,440 starting from the right (ones place) to the left (thousands place).

Let's perform the subtraction step-by-step:

Starting from the right-most digit (zeroes line up and remain as zeros):

  • The thousands column: Subtract 100 100 from 400 400 (resulting in 300 300 ).
  • The remaining columns result in direct subtraction due to sufficient numbers in 96: 96,0002,000 96,000 - 2,000 is 94,000 94,000 .
  • Combine the results: 94,300+40=94,340 94,300 + 40 = 94,340 .

Ensuring correct placement of each digit and proper column alignment, the complete subtraction gives us:

The solution to the equation 96,4402,100 96,440 - 2,100 is 94,340 94,340 .

Thus, the correct answer from the provided choices is choice 3: 94,340 94,340 .

3

Final Answer

94,340 94,340

Key Points to Remember

Essential concepts to master this topic
  • Rule: Align digits by place value before subtracting columns
  • Technique: Work right to left: 96,440 - 2,100 = 94,340
  • Check: Add result to subtrahend: 94,340 + 2,100 = 96,440 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning place values when setting up subtraction
    Don't line up numbers by total digits instead of place value = wrong column subtraction! This creates errors like subtracting thousands from hundreds. Always align ones with ones, tens with tens, hundreds with hundreds.

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 line up the numbers by place value?

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Proper alignment ensures you're subtracting like values - ones from ones, tens from tens, etc. Misalignment leads to subtracting wrong amounts and incorrect answers.

What if the top number is smaller than the bottom number in a column?

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You'll need to borrow from the next column to the left. For example, if you have 3 - 7, borrow 1 from the tens place to make it 13 - 7 = 6.

How do I handle zeros in the subtraction?

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Zeros stay as zeros when subtracting zero. If you need to borrow from a zero, keep borrowing left until you find a non-zero digit to borrow from.

Can I check my answer without adding?

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Yes! You can also estimate: 96,4402,100 96,440 - 2,100 should be close to 96,0002,000=94,000 96,000 - 2,000 = 94,000 , and 94,340 fits this estimate perfectly.

What's the easiest way to avoid calculation errors?

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Work slowly and double-check each column. Write clearly, align digits properly, and always verify your final answer by adding it back to the number you subtracted.

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