Solve the Addition Equation: 7 + ? + 2 = 20

Missing Addend Problems with Three Terms

7+?+2=20 7+?+2=20

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Step-by-step video solution

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00:01 We will use the commutative property of addition
00:20 We will subtract 9 from both sides in order to isolate the unknown

Step-by-step written solution

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1

Understand the problem

7+?+2=20 7+?+2=20

2

Step-by-step solution

To find out which number is missing, we solve the entire exercise to know which number we will have to add to obtain a result of 20:

7+2=9 7+2=9

To make 9 equal to 20 we will have to add the number 11.

Let's verify:

209=11 20-9=11

3

Final Answer

11 11

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Add the known numbers first, then subtract from total
  • Technique: Calculate 7 + 2 = 9, then find 20 - 9 = 11
  • Check: Substitute back into original equation: 7 + 11 + 2 = 20 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting randomly without adding known terms first
    Don't just subtract 7 from 20 to get 13! This ignores the other addend (+2) and gives the wrong answer. The equation becomes 7 + 13 + 2 = 22, not 20. Always add the known numbers first (7 + 2 = 9), then subtract from the total (20 - 9 = 11).

Practice Quiz

Test your knowledge with interactive questions

\( 8 - 2 + 6 = \)

FAQ

Everything you need to know about this question

Why can't I just subtract 7 from 20 to find the missing number?

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Because there's another number in the equation! You have 7 + ? + 2 = 20, so you need to account for all the addends. First add the known numbers: 7 + 2 = 9, then subtract from 20.

What if I forget to add the known numbers first?

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You'll get the wrong answer! Always combine what you know first. Think of it like this: 'I have 7 and 2, that's 9 total. I need 20, so I'm missing 11.'

How do I check if my answer is correct?

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Substitute your answer back into the original equation. Replace the ? with your number and see if both sides equal 20. For example: 7 + 11 + 2 = 20 ✓

Can I solve this a different way?

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Yes! You can also think of it as ?=2072 ? = 20 - 7 - 2 . Subtract each known addend from the total: ?=209=11 ? = 20 - 9 = 11 .

What if the equation had more than three numbers?

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Same strategy! Add all the known numbers first, then subtract that sum from the total. The method works no matter how many addends you have.

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