Solve the Decimal Equation: Finding the Missing Number in 0.2 + ? = 0.6

Decimal Addition with Missing Addends

Fill in the missing value (?):

0.2+?=0.6 0.2+?=0.6

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Choose the correct answer
00:03 Let's mark each option and check
00:10 Let's use long division for calculation
00:15 Let's calculate and mark
00:33 We see that the first option doesn't fit, let's move to the second
00:39 Again let's use the same method and check
01:03 We see that the second option doesn't fit, let's move to the third:
01:12 Again let's use the same method and check
01:35 We see that the third option fits, let's move to the fourth:
01:43 Again let's use the same method and check
02:06 We see that the fourth option doesn't fit
02:16 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

Fill in the missing value (?):

0.2+?=0.6 0.2+?=0.6

2

Step-by-step solution

To solve this problem, we will use basic subtraction:

  • Step 1: Restate the given equation: 0.2+?=0.60.2 + ? = 0.6.
  • Step 2: To find the missing number, subtract the known addend 0.20.2 from the total 0.60.6.
  • Step 3: Perform the subtraction: 0.60.2=0.40.6 - 0.2 = 0.4.

After performing the calculation, we find that the missing value is 0.40.4. Therefore, the equation 0.2+0.4=0.60.2 + 0.4 = 0.6 is correct.

Therefore, the solution to the problem is 0.40.4.

3

Final Answer

0.4

Key Points to Remember

Essential concepts to master this topic
  • Rule: To find missing addend, subtract known addend from sum
  • Technique: Calculate 0.60.2=0.4 0.6 - 0.2 = 0.4 using column subtraction
  • Check: Verify 0.2+0.4=0.6 0.2 + 0.4 = 0.6 equals original sum ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to find missing value
    Don't add 0.2 + 0.6 = 0.8! This gives you the wrong operation and makes the missing value too large. Always subtract the known addend from the total: 0.6 - 0.2 = 0.4.

Practice Quiz

Test your knowledge with interactive questions

\( \text{0.6+0}.5= \)

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FAQ

Everything you need to know about this question

Why do I subtract instead of add to find the missing number?

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Think of it like this: if you have 0.6 total and you already used 0.2, you need to find what's left. Subtraction tells you the remaining amount: 0.60.2=0.4 0.6 - 0.2 = 0.4 .

How do I subtract decimals like 0.6 - 0.2?

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Line up the decimal points vertically and subtract normally. Think of it as 6 tenths minus 2 tenths equals 4 tenths, or 0.4.

Can I solve this problem using a different method?

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Yes! You can also count up from 0.2 to 0.6. Start at 0.2, then count: 0.3, 0.4, 0.5, 0.6. You moved up by 0.4!

What if I get a different answer when I check my work?

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If 0.2+your answer 0.2 + \text{your answer} doesn't equal 0.6, double-check your subtraction. Make sure you aligned the decimal points correctly when subtracting.

Why are we working with tenths in this problem?

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Numbers like 0.2 and 0.6 represent tenths. Think of 0.2 as 2 tenths and 0.6 as 6 tenths. This makes the math easier to visualize!

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