Solve: 42 + Circle Symbol (Value = 7) Addition Problem

Variable Substitution with Simple Addition

If:

=7 \circ=7

Solve the following addition problem:

42+= 42+\circ=

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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:

42+= 42+\circ=

2

Step-by-step solution

Let's solve the problem step-by-step:

  • Step 1: Identify the substitution needed.
    We are given that =7 \circ = 7 . Thus, we need to solve 42+ 42 + \circ by substituting \circ with 7.

  • Step 2: Substitute the value into the addition problem.
    The expression becomes 42+7 42 + 7 .

  • Step 3: Perform the addition.
    To find 42+7 42 + 7 , add the two numbers: 42+7=49 42 + 7 = 49

Thus, the solution to the problem is 49 49 .

Correct Answer Choice: 49 49

3

Final Answer

49 49

Key Points to Remember

Essential concepts to master this topic
  • Substitution Rule: Replace the variable with its given value first
  • Technique: Change 42+ 42 + \circ to 42+7 42 + 7 when =7 \circ = 7
  • Check: Verify 42+7=49 42 + 7 = 49 by counting up from 42 ✓

Common Mistakes

Avoid these frequent errors
  • Adding the symbol without substituting its value
    Don't leave 42+ 42 + \circ as your final answer = incomplete solution! You must use the given information. Always substitute the symbol with its numerical value first, then calculate.

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

What does the circle symbol mean in this problem?

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The circle \circ is a variable - it represents a number! In this problem, we're told that =7 \circ = 7 , so wherever you see the circle, replace it with 7.

Do I need to do anything special with the circle symbol?

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No! Just treat it like any other variable. The key is to substitute - replace the symbol with its given value, then do normal arithmetic.

What if I forgot to substitute and just wrote the answer as 42 + circle?

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That's not a complete solution! You need to evaluate the expression by substituting the value. Think of it like this: if someone asks "What's 5 + x when x = 3?", you can't answer "5 + x" - you must say "8".

How do I check if 49 is the right answer?

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Substitute back into the original: 42+=42+7=49 42 + \circ = 42 + 7 = 49 . You can also count up from 42: 43, 44, 45, 46, 47, 48, 49. Seven steps up from 42 gets you to 49!

Are there other symbols that work like this circle?

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Yes! Any symbol can represent a number: squares \square , triangles \triangle , or letters like x and y. The process is always the same: substitute the given value, then calculate.

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