Solve the Decimal Equation: Finding the Missing Value in 1.2 - ? = 1.1

Decimal Subtraction with Missing Subtrahends

Fill in the missing value (?):

1.2?=1.1 1.2-?=1.1

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Identify which of the following answers is correct
00:03 Insert each of the potential answers into the expression in order to verify which of them is correct
00:08 Use vertical addition to calculate the problem
00:14 Insert one of the answers into the expression and proceed to calculate
00:38 We can see that the first option doesn't fit, let's move on to the second one:
00:43 Let’s apply the same method as before and proceed to check
00:49 Insert one of the answers into the expression and calculate
01:01 We can see that the second option doesn't fit, let's move on to the third one:
01:07 Once again apply the same method as before and proceed to check
01:14 Insert one of the remaining answers into the expression and calculate
01:29 We can see that the third option fits, let's move on to the fourth one:
01:33 Apply the same method as before and proceed to check
01:41 Insert the remaining answer into the expression and proceed to calculate
01:58 We can see that the fourth option doesn't fit
02:01 This is the solution

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?=1.1 1.2-?=1.1

2

Step-by-step solution

To solve the problem 1.2?=1.11.2 - ? = 1.1, we need to identify the unknown value represented by the question mark.

Let's go through the solution step-by-step:

  • Step 1: Rewrite the equation in terms of subtraction: 1.2x=1.11.2 - x = 1.1, where xx is the missing value.

  • Step 2: Rearrange the equation to solve for xx: x=1.21.1x = 1.2 - 1.1.

  • Step 3: Perform the subtraction: x=0.1x = 0.1.

  • Step 4: Check the solution by substituting back into the original equation: 1.20.1=1.11.2 - 0.1 = 1.1, which is correct.

Therefore, the solution to the problem is that the missing value is 0.10.1.

Given the choices, the correct option is: 0.1 0.1

3

Final Answer

0.1

Key Points to Remember

Essential concepts to master this topic
  • Rearrangement Rule: Transform subtraction into addition by moving terms across equals
  • Technique: Calculate x=1.21.1=0.1 x = 1.2 - 1.1 = 0.1 to find missing value
  • Check: Verify by substituting back: 1.20.1=1.1 1.2 - 0.1 = 1.1

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting when rearranging
    Don't calculate 1.2 + 1.1 = 2.3 as the missing value! This happens when you forget the subtraction becomes addition during rearrangement. Always remember: from 1.2 - ? = 1.1, you get ? = 1.2 - 1.1, not 1.2 + 1.1.

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 move 1.1 to the other side?

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When you have 1.2?=1.1 1.2 - ? = 1.1 , you need to isolate the unknown. Moving 1.1 to the right side by adding it to both sides gives you ?=1.21.1 ? = 1.2 - 1.1 .

What if I get confused about which number to subtract?

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Remember the pattern: If A?=B A - ? = B , then ?=AB ? = A - B . So from 1.2?=1.1 1.2 - ? = 1.1 , you always subtract the result (1.1) from the starting number (1.2).

How do I line up decimals when subtracting?

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Align the decimal points vertically! Write 1.2 above 1.1 with decimal points in the same column, then subtract normally: 1.2 - 1.1 = 0.1.

Can I check my answer a different way?

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Yes! You can also think: "What do I add to 1.1 to get 1.2?" Since 1.1 + 0.1 = 1.2, the missing value must be 0.1.

What if the missing value was in a different position?

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The method changes! If you had ?0.1=1.1 ? - 0.1 = 1.1 , then ?=1.1+0.1=1.2 ? = 1.1 + 0.1 = 1.2 . Always identify which number is missing first.

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