Evaluate the Expression: Finding the Difference in 32-8

Equivalent Expressions with Subtraction Decomposition

Which expression is equivalent to the given equation?

328= 32-8=

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Step-by-step written solution

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1

Understand the problem

Which expression is equivalent to the given equation?

328= 32-8=

2

Step-by-step solution

The problem requires identifying an equivalent expression for 32832 - 8.

First, calculate the result of the given equation: 328=2432 - 8 = 24.

Now, evaluate each choice:

  • Choice 1: 3242=326=2632 - 4 - 2 = 32 - 6 = 26 (not equivalent to 24)
  • Choice 2: 3234=327=2532 - 3 - 4 = 32 - 7 = 25 (not equivalent to 24)
  • Choice 3: 3226=328=2432 - 2 - 6 = 32 - 8 = 24 (this matches exactly)
  • Choice 4: 3215=326=2632 - 1 - 5 = 32 - 6 = 26 (not equivalent to 24)

Thus, the expression equivalent to 32832 - 8 is 322632 - 2 - 6.

3

Final Answer

3226 32-2-6

Key Points to Remember

Essential concepts to master this topic
  • Equivalent Expressions: Different forms that equal the same value
  • Technique: Break 8 into parts: 2 + 6 = 8
  • Check: Calculate both expressions: 32 - 8 = 24 and 32 - 2 - 6 = 24 ✓

Common Mistakes

Avoid these frequent errors
  • Not checking if the broken parts equal the original number
    Don't assume 32 - 4 - 2 equals 32 - 8 without checking = wrong answer of 26! The parts (4 + 2 = 6) don't equal 8. Always verify that your decomposed numbers add up to the original subtracted value.

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 can't I just break 8 into any two numbers?

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The two numbers must add up to exactly 8! For example, 4 + 2 = 6 (not 8), so 3242 32-4-2 gives 26, not 24.

How do I know which breakdown to choose?

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Any combination that adds to 8 works! You could use 1+7, 3+5, or 2+6. The key is that the sum equals the original number.

Is 32 - 2 - 6 the same as 32 - 6 - 2?

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Yes! Subtraction can be done in any order when you're subtracting multiple numbers: 3226=3262=24 32-2-6 = 32-6-2 = 24 .

What if I get confused about which expression is correct?

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Calculate the final answer for each choice! The original 328=24 32-8 = 24 , so look for the expression that also equals 24.

Can I break the first number (32) instead?

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This problem asks for expressions equivalent to 328 32-8 , so you need to keep 32 as the starting number and only break down the 8 being subtracted.

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