Solve for the Missing Addend in 5.8 + ? = 9.9

Missing Addend Problems with Decimal Numbers

Fill in the missing value (?):

5.8+?=9.9 5.8+?=9.9

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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
00:11 Use vertical addition for the calculation
00:16 Insert one of the potential answers into the expression and proceed to calculate
00:37 We can see that the first option is not suitable, let's move on to the second one
00:42 Let's apply the same method as before and proceed to check
00:51 Insert another one of the answers into the expression and proceed to check it
01:04 We can see that the second option is suitable, let's now move on to the third one
01:10 Once again apply the same method as before and proceed to check
01:20 Insert one of the remaining answers into the expression and calculate
01:46 We can see that the third option is not suitable, let's move on to the fourth one:
01:56 Apply the same method as before and proceed to check
02:04 Insert the remaining answer into the expression and proceed to calculate
02:25 We can see that the fourth option is not suitable
02:30 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 (?):

5.8+?=9.9 5.8+?=9.9

2

Step-by-step solution

To solve this problem, we need to determine the missing value in the equation 5.8+?=9.9 5.8 + ? = 9.9 .

  • First, let's isolate the unknown value by rearranging the equation. We know that ?=9.95.8 ? = 9.9 - 5.8 .
  • Next, perform the subtraction: 9.95.8 9.9 - 5.8 .

Let's calculate:

Align the decimal places and subtract:

  9.9
- 5.8
-----
  4.1

The result of 9.95.8 9.9 - 5.8 is 4.1 4.1 .

Therefore, the missing value is 4.1 4.1 . Hence, the equation becomes 5.8+4.1=9.9 5.8 + 4.1 = 9.9 .

Therefore, the correct answer is option 2: 4.1.

3

Final Answer

4.1

Key Points to Remember

Essential concepts to master this topic
  • Inverse Operations: Use subtraction to find the missing addend value
  • Technique: Rearrange to ? = 9.9 - 5.8 = 4.1
  • Check: Substitute back: 5.8 + 4.1 = 9.9 ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the unknown
    Don't add 5.8 to both sides = 5.8 + ? + 5.8 = 9.9 + 5.8! This creates a more complex equation instead of isolating the unknown. Always use the inverse operation - subtract 5.8 from both sides.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I subtract 5.8 from 9.9 instead of adding?

+

Because subtraction is the inverse of addition! When you have 5.8 + ? = 9.9, you need to undo the addition by subtracting 5.8 from both sides.

How do I line up the decimal points when subtracting?

+

Always align the decimal points vertically:

  9.9
- 5.8
-----
  4.1

This ensures you subtract tenths from tenths and ones from ones!

What if I get a different decimal answer?

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Double-check your decimal alignment and borrowing. Remember: 9.9 - 5.8 should give you 4.1, not 4.0 or 4.2!

Can I solve this problem using addition instead?

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You could guess and check by trying each answer choice, but subtraction is much faster! Use ?=9.95.8 ? = 9.9 - 5.8 to solve directly.

How do I know my answer is correct?

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Always substitute your answer back into the original equation: 5.8+4.1=9.9 5.8 + 4.1 = 9.9 . If both sides are equal, you're right!

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