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

Follow each step carefully to understand the complete solution
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.

Practice Quiz

Test your knowledge with interactive questions

Determine whether the exercise is written correctly in relation to the position of the decimal point:

2.10-3.2

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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