Solve: 95 Minus 31.213 - Decimal Subtraction Practice

Decimal Subtraction with Multiple Borrowing

Circle the correct answer for the following exercise:

95-31.213

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Place 0 in the appropriate positions
00:07 When we need to subtract a number larger than what we have
00:12 Borrow from the next possible number
00:15 The next digit decreases by 1, and the previous digit increases by 10
00:18 We'll use the same method until we reach the last digit
00:37 Now subtract from the larger number
00:42 Place and continue to subtract and place accordingly
00:51 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Circle the correct answer for the following exercise:

95-31.213

2

Step-by-step solution

In order to avoid confusion whilst solving the exercise, proceed to add three zeros to the number 95 as follows:

95.00031.213 95.000\\-31.213\\

Solve the exercise in order:

Subtract the thousands after the decimal point:

03= 0-3=

Given that we cannot subtract, we'll instead borrow ten from the tens digit of the whole number before the decimal point, since the other numbers are also zeros.

The tens digit of the whole number before the decimal point will become 4, and the hundreds digit of the whole number before the decimal point will become 10

We'll borrow ten from the hundreds digit before the decimal point and it will change from 10 to 9, and now the tenths digit after the decimal point will become 10

We'll borrow ten from the tenths digit after the decimal point and it will change from 10 to 9, and now the hundredths digit after the decimal point will become 10

We'll borrow ten from the hundredths digit after the decimal point and it will change from 10 to 9, and now the thousandths digit after the decimal point will become 10

Now that we know how to solve the exercise, let's subtract the thousands after the decimal point:

103=7 10-3=7

Let's subtract the hundreds after the decimal point:

91=8 9-1=8

Let's subtract the tenths after the decimal point:

92=7 9-2=7

Finally, let's subtract the whole numbers before the decimal point accordingly.

Remember that we borrowed ten from the tens digit, therefore:

511=3 5-1-1=3

93=6 9-3=6

And we should obtain the following:

95.00031.21363.787 95.000\\-31.213\\63.787

3

Final Answer

63.787

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up decimal points and add zeros to match places
  • Borrowing: When 0-3, borrow across multiple places: 95.000 becomes 94.10.10.10
  • Check: Add your answer to subtrahend: 63.787 + 31.213 = 95.000 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to add zeros to make equal decimal places
    Don't subtract 95 - 31.213 directly without aligning = wrong answer like 64.213! This ignores place value rules and decimal alignment. Always add zeros to make equal decimal places: 95.000 - 31.213.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I need to add zeros to 95?

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Adding zeros helps you align decimal places properly! 95 is the same as 95.000, so you can subtract from each decimal place correctly.

What does borrowing across multiple places mean?

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When you need to borrow but the next digit is 0, you keep borrowing until you find a non-zero digit. Each borrowed place becomes 9, and the final place becomes 10 minus what you're subtracting.

How do I keep track of all the borrowing?

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Write down each step! Mark each digit as it changes: 95.000 → 94.10.10.10. This prevents confusion and helps you see the pattern.

Why is my answer 63.787 and not something else?

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Follow the borrowing carefully: 103=7 10-3=7 , 91=8 9-1=8 , 92=7 9-2=7 , then 43=1 4-3=1 (after borrowing), and 93=6 9-3=6 .

Can I check my answer?

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Yes! Add your answer back: 63.787+31.213=95.000 63.787 + 31.213 = 95.000 . If you get the original number, you're correct!

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