Solve the Equation: Finding the Value in 5 + △ = 10

Basic Addition Equations with Missing Addends

Determine the numerical value of the {\triangle}

5+=10 5+{\triangle}=10

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Determine the numerical value of the {\triangle}

5+=10 5+{\triangle}=10

2

Step-by-step solution

To solve the problem, we will determine the value of \triangle in the equation 5+=10 5 + \triangle = 10 .

Here are the steps:

  • Step 1: Write down the original equation:

5+=10 5 + \triangle = 10

  • Step 2: Isolate \triangle by subtracting 5 5 from both sides of the equation:

=105 \triangle = 10 - 5

  • Step 3: Calculate the result:

=5 \triangle = 5

Thus, the numerical value of the triangle symbol is 5 5 .

Therefore, the solution to the problem is 5 5 .

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Isolate the unknown by performing inverse operations
  • Technique: Subtract the known addend: =105=5 \triangle = 10 - 5 = 5
  • Check: Substitute back into original equation: 5+5=10 5 + 5 = 10

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the variable
    Don't add 5 to both sides getting =10+5=15 \triangle = 10 + 5 = 15 ! This makes the equation unbalanced since 5 + 15 ≠ 10. Always use the inverse operation - subtract the known value from both sides.

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 subtract 5 from both sides instead of adding?

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Because subtraction is the inverse of addition! When you have 5+=10 5 + \triangle = 10 , you need to 'undo' the addition of 5 by subtracting it from both sides.

What does the triangle symbol represent?

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The triangle \triangle is just a placeholder for an unknown number, like using x or y in algebra. It represents the missing value we need to find.

Can I solve this by counting up from 5?

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Yes! You can think: 'What number do I add to 5 to get 10?' Count up: 5, 6, 7, 8, 9, 10. That's 5 more steps, so =5 \triangle = 5 .

How do I check if my answer is correct?

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Simply substitute your answer back into the original equation. Replace \triangle with 5: 5+5=10 5 + 5 = 10 . Since this is true, your answer is correct!

What if I get a different number when I check?

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If substituting gives you a false statement, your answer is wrong. Go back and check your arithmetic - you might have added instead of subtracted, or made a calculation error.

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