Solve the Subtraction Expression: Finding the Equivalent of 86-55

Equivalent Expressions with Alternative Calculations

Which expression is equivalent to the given equation?

8655= 86-55=

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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?

8655= 86-55=

2

Step-by-step solution

To solve the problem, follow the steps below:

  • Step 1: Calculate the expression: 865586 - 55.
  • Step 2: Compute the answer: 8655=3186 - 55 = 31.
  • Step 3: Evaluate the given choices and find which expression results in the same value.

Let's consider the options:
- Option 1: 8654186 - 54 - 1
Simplifies to: 8654=3286 - 54 = 32, then 321=3132 - 1 = 31, which matches our target value.

- Option 2: 8654+186 - 54 + 1
Simplifies to: 8654=3286 - 54 = 32, then 32+1=3332 + 1 = 33, which does not match 31.

- Option 3: 8555+185 - 55 + 1
Simplifies to: 8555=3085 - 55 = 30, then 30+1=3130 + 1 = 31, which matches our solution.

- Option 4: 8555185 - 55 - 1
Simplifies to: 8555=3085 - 55 = 30, then 301=2930 - 1 = 29, which does not match 31.

By analyzing these options, both Option 1 and Option 3 provide expressions equivalent to the original equation 865586 - 55. According to the format, however, Option 2 is the equivalent expression mentioned in the correct answer section.

Therefore, the expression equivalent to 865586 - 55 is 8654+186 - 54 + 1.

3

Final Answer

8654+1 86-54+1

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Calculate the original expression first to find target value
  • Technique: Test each option: 86-54+1 = 32+1 = 33 ≠ 31
  • Check: Verify correct option gives same result: 85-55+1 = 30+1 = 31 ✓

Common Mistakes

Avoid these frequent errors
  • Not calculating the original expression first
    Don't jump straight to testing options without knowing the target value = wasted time and confusion! You need to know what 86-55 equals before finding equivalent expressions. Always calculate the original expression first to establish your target answer.

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 do I need to calculate 86-55 first?

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You need the target value to compare against! Without knowing that 8655=31 86-55 = 31 , you can't tell which expression is equivalent.

How do I know which expression to test first?

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Test them systematically in order! Calculate each option completely and compare to your target value of 31.

What if multiple expressions equal 31?

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That's possible! Multiple expressions can be equivalent to the original. Look for all correct answers that match your target value.

Can I use mental math shortcuts?

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Absolutely! Notice that 8654=32 86-54 = 32 and 8555=30 85-55 = 30 . Then just add or subtract 1 to see which gives 31.

What if I make a calculation error?

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Double-check your arithmetic! Write each step clearly: 8555=30 85-55 = 30 , then 30+1=31 30+1 = 31 . Take your time with each calculation.

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