Solve the Expression: Finding the Value of 92-8

Subtraction Decomposition with Number Breaking

Which expression is equivalent to the given equation?

928= 92-8=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Which expression is equivalent to the given equation?

928= 92-8=

2

Step-by-step solution

To solve this problem, we will find an expression equivalent to 92892 - 8 by decomposing the operation into smaller steps:

  • Step 1: Calculate the result of 92892 - 8, which directly gives us 84.
  • Step 2: Decompose the subtraction into smaller steps. Notice that 88 can be divided into 22 and 66, hence we can reformulate: 92892 - 8 as 922692 - 2 - 6.

Now, let's verify by performing the operations manually:

922=9092 - 2 = 90

906=8490 - 6 = 84

This confirms that 922692 - 2 - 6 results in 8484, the same as 92892 - 8.

Therefore, the expression equivalent to 92892 - 8 is 9226 92 - 2 - 6 .

3

Final Answer

9226 92-2-6

Key Points to Remember

Essential concepts to master this topic
  • Decomposition: Break larger numbers into smaller, manageable parts
  • Technique: Split 8 into 2 + 6, so 92 - 8 becomes 92 - 2 - 6
  • Verification: Calculate step by step: 92 - 2 = 90, then 90 - 6 = 84 ✓

Common Mistakes

Avoid these frequent errors
  • Adding the decomposed parts instead of subtracting them
    Don't write 92 - 2 + 6 = 96! This changes the operation and gives the wrong answer. When decomposing subtraction, always keep all parts as subtraction: 92 - 2 - 6.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

Why break 8 into 2 and 6 specifically?

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Breaking 8 into 2 and 6 makes mental math easier! You can quickly subtract 2 from 92 to get 90, then subtract 6 to get 84. Other combinations like 3 + 5 or 4 + 4 work too.

Can I break the number 92 instead of 8?

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Yes! You could write it as (90+2)8 (90 + 2) - 8 , but breaking the smaller number is usually easier for mental calculation.

How do I know which way to break the number?

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Choose a breakdown that makes calculation easier. Look for combinations that create round numbers like 90, 100, or numbers you can subtract quickly in your head.

Does the order matter when I subtract?

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With subtraction, order matters! 9226 92 - 2 - 6 works left to right: first subtract 2, then subtract 6. Don't change the order of operations.

What if my decomposition doesn't equal the original number?

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Always check that your broken parts add up! If you're breaking 8, make sure your parts equal 8: 2 + 6 = 8 ✓. If not, you'll get the wrong answer.

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