Solve: Finding the Missing Number in 0.31 - _ = 0.2

Decimal Subtraction with Missing Minuend

0.31——=0.2 0.31-_{——}=0.2

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the unknown
00:05 Isolate the unknown
00:09 Use long subtraction for calculation
00:13 Subtract and substitute accordingly
00:23 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

0.31——=0.2 0.31-_{——}=0.2

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Subtract the given number from 0.31 to find the missing portion.
  • Ensure accurate decimal subtraction.

Let's perform the calculation:
The given equation is 0.31x=0.2 0.31 - x = 0.2 .
We want to find x x . Rearranging gives us x=0.310.2 x = 0.31 - 0.2 .
Perform the subtraction:

0.310.2=0.11 0.31 - 0.2 = 0.11

The correct answer is x=0.11 x = 0.11 .

Therefore, the solution to the problem is 0.11 0.11 .

3

Final Answer

0.11

Key Points to Remember

Essential concepts to master this topic
  • Rearrangement Rule: To find missing subtrahend, subtract result from minuend
  • Technique: From 0.31x=0.2 0.31 - x = 0.2 , get x=0.310.2=0.11 x = 0.31 - 0.2 = 0.11
  • Check: Substitute back: 0.310.11=0.2 0.31 - 0.11 = 0.2 matches the original equation ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to find the missing number
    Don't add 0.31 + 0.2 = 0.51! This gives a completely wrong answer because you're going in the opposite direction. Always remember: if the equation shows subtraction, you find the missing part by subtracting the result from the starting number.

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FAQ

Everything you need to know about this question

Why do we rearrange the equation instead of just guessing?

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Rearranging gives you the exact mathematical method to find the answer! Guessing might work sometimes, but algebra ensures you get the right answer every time.

How do I line up the decimals when subtracting?

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Always line up the decimal points vertically! For 0.31 - 0.2, write it as 0.31 - 0.20 so both numbers have the same decimal places.

What if I get confused about which number to subtract from which?

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Remember the pattern: Start - Missing = Result becomes Missing = Start - Result. So from 0.31x=0.2 0.31 - x = 0.2 , you get x=0.310.2 x = 0.31 - 0.2 .

Can I check my answer a different way?

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Yes! You can also think: "What plus 0.2 equals 0.31?" Since 0.11 + 0.2 = 0.31, you know 0.11 is correct!

Why is 0.31 - 0.2 equal to 0.11 and not 0.29?

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Be careful with decimal place values! 0.31 0.31 has 31 hundredths, and 0.2 0.2 has 20 hundredths. So 31 - 20 = 11 hundredths = 0.11 0.11 .

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