Solve the Addition Equation: Finding the Missing Value in ? + 1.2 = 2.2

Linear Equations with Decimal Isolation

Fill in the missing value (?):

?+1.2=2.2 ?+1.2=2.2

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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 substitute each option and check
00:10 We'll use long addition for calculation
00:16 Let's calculate and substitute
00:28 We can see that the first option is not suitable, let's move to the second
00:32 Let's use the same method again and check
00:37 Let's calculate and substitute
01:00 We can see that the second option is not suitable, let's move to the third:
01:06 Let's use the same method again and check
01:14 Let's calculate and substitute
01:30 We can see that the third option is suitable, let's move to the fourth
01:35 Let's use the same method again and check
01:43 Let's calculate and substitute
02:04 We can see that the fourth option is not suitable
02:10 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 (?):

?+1.2=2.2 ?+1.2=2.2

2

Step-by-step solution

To solve this problem, we need to find the value of the missing term in the equation ?+1.2=2.2 ? + 1.2 = 2.2 .

Let's proceed with the solution step by step:

  • Step 1: Write down the given equation: ?+1.2=2.2 ? + 1.2 = 2.2 .
  • Step 2: To isolate the unknown term (?), subtract 1.2 from both sides of the equation. This gives us:
    ?=2.21.2? = 2.2 - 1.2
  • Step 3: Perform the subtraction: 2.21.2=1.02.2 - 1.2 = 1.0.
  • Step 4: Thus, the missing value is 1.01.0 or simply 11.

Therefore, the value of the missing number is 1\boxed{1}.

Given the multiple-choice options, the correct answer is option 3: 1.

3

Final Answer

1

Key Points to Remember

Essential concepts to master this topic
  • Isolation Rule: Move numbers to opposite side to find unknown value
  • Technique: Subtract 1.2 from both sides: 2.21.2=1.0 2.2 - 1.2 = 1.0
  • Check: Substitute back into original equation: 1+1.2=2.2 1 + 1.2 = 2.2

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the unknown
    Don't add 1.2 to both sides when you see ? + 1.2 = 2.2! This gives you ? = 3.4, which is wrong because you're moving the wrong direction. Always subtract the number that's being added to the unknown.

Practice Quiz

Test your knowledge with interactive questions

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

+=

FAQ

Everything you need to know about this question

Why do I subtract 1.2 instead of adding it?

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You need to undo what's happening to the unknown. Since 1.2 is being added to ?, you must subtract 1.2 from both sides to isolate the ?.

What if I get a decimal answer that's not in the choices?

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Check if your decimal can be written as a whole number! For example, 1.0=1 1.0 = 1 . Also, double-check your arithmetic to make sure you calculated correctly.

Do I always subtract when the unknown has addition?

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Yes! When you see ? + number = result, you always subtract that number from both sides. Think of it as the opposite operation cancels out what's there.

How can I check if my answer is right?

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Replace the ? with your answer in the original equation. If 1+1.2=2.2 1 + 1.2 = 2.2 is true, then 1 is correct!

What if the numbers were bigger decimals?

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The same method works! Just be extra careful with your decimal arithmetic. Line up the decimal points when subtracting: 2.21.2 2.2 - 1.2 .

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