Solve for the Missing Addend: ? + 900 = 900

Addition Identity Property with Zero

?+900=900 ?+900=900

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Step-by-step video solution

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00:00 Complete the missing value
00:04 Any number plus 0 equals the number itself
00:11 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

?+900=900 ?+900=900

2

Step-by-step solution

To solve this problem, we'll apply the basic property of addition involving zero:

We start with the equation given in the problem:

?+900=900 ? + 900 = 900
  • Step 1: To find the unknown number x x , observe that adding 900 to an unknown number results in 900.
  • Step 2: Subtract 900 from both sides to isolate x x :
    x+900900=900900 x + 900 - 900 = 900 - 900
  • Step 3: Simplifying gives:
    x=0 x = 0
  • Step 4: Thus, the missing number is 0, as adding 0 to any number retains the original number due to the identity property of addition.

Therefore, the solution to the problem is x=0 x = 0 .

3

Final Answer

0

Key Points to Remember

Essential concepts to master this topic
  • Identity Property: Adding zero to any number leaves it unchanged
  • Technique: Subtract 900 from both sides: x = 900 - 900
  • Check: Substitute back: 0 + 900 = 900 ✓

Common Mistakes

Avoid these frequent errors
  • Thinking the answer must be a large number
    Don't assume the missing addend is 900 or another large number = 1800 total! This ignores that zero is a valid answer. Always consider that adding zero to any number gives the same number.

Practice Quiz

Test your knowledge with interactive questions

\( 1\times1000= \)

FAQ

Everything you need to know about this question

Why is the answer 0 and not 900?

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Think about it: if you already have 900, what do you need to add to still get 900? Nothing! Adding 0 keeps the number the same due to the identity property of addition.

Is 0 really a number I can add?

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Yes! Zero is a real number and a very important one. The identity property tells us that any number plus zero equals that same number.

How do I solve equations like this step by step?

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Use inverse operations:

  • Start with: ? + 900 = 900
  • Subtract 900 from both sides
  • Get: ? = 900 - 900 = 0

What if the numbers were different, like ? + 50 = 50?

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The same rule applies! Whatever number you're adding to itself, the missing addend is always 0. Try: 0 + 50 = 50 ✓

Can I check my answer a different way?

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Absolutely! Besides substitution, think logically: "What plus 900 gives me 900?" Only zero makes sense because 900 is already the target number.

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