Solve Symbol Addition: Finding ○ + 21 When ○ = 7

Symbol Substitution with Basic Addition

If

=7 \circ=7

Solve the following addition problem:

+21= \circ+21=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

If

=7 \circ=7

Solve the following addition problem:

+21= \circ+21=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the number represented by the symbol \circ .
  • Step 2: Substitute the symbol \circ with the number 7.
  • Step 3: Perform the addition of 7 and 21.

Now, let's work through each step:
Step 1: Identify =7 \circ = 7 from the problem statement.
Step 2: Substitute the value 7 for \circ in +21 \circ + 21 , so we have 7+21 7 + 21 .
Step 3: Add 7 and 21 to get 28.

Therefore, the solution to the problem is 28 28 .

3

Final Answer

28 28

Key Points to Remember

Essential concepts to master this topic
  • Substitution Rule: Replace the symbol with its given numerical value
  • Technique: Change +21 \circ + 21 to 7+21 7 + 21 when =7 \circ = 7
  • Check: Verify that 7+21=28 7 + 21 = 28 using mental math or counting ✓

Common Mistakes

Avoid these frequent errors
  • Adding the symbol value to the wrong number
    Don't add 7 + 7 = 14 or ignore the substitution completely! This happens when students forget to substitute the symbol or confuse which numbers to add. Always substitute first, then perform the exact addition shown: 7 + 21 = 28.

Practice Quiz

Test your knowledge with interactive questions

Add fifty units to the number 31.

What is the resulting number?

FAQ

Everything you need to know about this question

What does the circle symbol represent?

+

The circle symbol \circ is just a placeholder for a number! In this problem, it represents the number 7. Think of it like a mystery box that contains the value 7.

Why can't I just add 21 + 21?

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Because the circle \circ doesn't equal 21 - it equals 7! You must substitute the correct value. Always read what the symbol equals first.

How do I know which number goes where?

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Look at the equation carefully: +21 \circ + 21 . The circle comes first, so substitute 7 in the first position: 7 + 21, not 21 + 7 (though addition gives the same result).

What if the symbol had a different value?

+

The process stays the same! If =10 \circ = 10 , then +21=10+21=31 \circ + 21 = 10 + 21 = 31 . Always substitute first, then calculate.

Is this the same as solving for x?

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Not quite! Here, we're told what \circ equals (7), so we just substitute and calculate. Solving for x means finding an unknown value through algebraic steps.

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