Solve: 57 Minus Circle Symbol (Where Circle = 8)

Variable Substitution with Symbol Replacement

If

=8 \circ=8

Solve the following subtraction problem:

57= 57-\circ=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If

=8 \circ=8

Solve the following subtraction problem:

57= 57-\circ=

2

Step-by-step solution

To solve this problem, we'll perform a direct replacement and subtraction. Here are the steps:

  • Step 1: Replace \circ with its given value. We know that =8 \circ = 8 , so we substitute to get 578 57 - 8 .
  • Step 2: Perform the subtraction operation. We need to compute 578 57 - 8 .

Starting from the rightmost digit of the two numbers involved, we need to subtract 8 from 57:

  • First, look at the units digit: Since 7 is greater than 8, let's subtract directly: 78 7 - 8 cannot be done directly as we need to regroup.
  • We regroup by borrowing 1 ten from the tens place in 57. This turns the 5 in the tens place into a 4, and the 7 in the units place into 17.
  • Now subtract the single digits: 178=9 17 - 8 = 9 .
  • Finally, subtract the tens digits: 40=4 4 - 0 = 4 .

As a result, 578=49 57 - 8 = 49 .

This solution corresponds to choice 1: 49 49 .

Therefore, the solution to the problem is 49 49 .

3

Final Answer

49 49

Key Points to Remember

Essential concepts to master this topic
  • Substitution Rule: Replace the symbol with its given numerical value
  • Technique: Transform 57 57 - \circ into 578 57 - 8 by direct replacement
  • Check: Verify by substituting back: 578=49 57 - 8 = 49

Common Mistakes

Avoid these frequent errors
  • Forgetting to substitute the symbol value
    Don't leave the circle symbol \circ in your final calculation = incomplete solution! This means you haven't actually solved the problem. Always replace every symbol with its given value before performing any arithmetic operations.

Practice Quiz

Test your knowledge with interactive questions

If we have 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

FAQ

Everything you need to know about this question

What does the circle symbol mean in math?

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The circle symbol \circ is just a placeholder for a number. In this problem, it represents the value 8. Think of it like a box that holds a specific number!

Do I need to show the substitution step?

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Yes! Always write out the substitution step clearly: 57=578 57 - \circ = 57 - 8 . This shows you understand what the symbol represents and helps avoid mistakes.

What if the symbol had a different value?

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The method stays the same! If =12 \circ = 12 , then 57=5712=45 57 - \circ = 57 - 12 = 45 . Always use whatever value is given for the symbol.

Why do I need to regroup when subtracting 8 from 57?

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Since 7 < 8 in the ones place, we borrow 1 from the tens place. This makes 57 become 4 tens and 17 ones, so 178=9 17 - 8 = 9 in the ones place.

Can symbols represent decimals or fractions?

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Absolutely! Symbols can represent any type of number. The substitution process remains the same - just replace the symbol with whatever value you're given.

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