Solve the Equation: Finding the Triangle Symbol in 41 + △ = 50

Simple Addition Equations with Missing Addends

Determine the numerical value of the triangle:

41+=50 41+\triangle=50

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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:

41+=50 41+\triangle=50

2

Step-by-step solution

To determine the value of the triangle, we will solve the equation 41+=50 41 + \triangle = 50 .

Let's solve it step by step:

  • Step 1: Start with the equation: 41+=50 41 + \triangle = 50 .
  • Step 2: To isolate \triangle, subtract 41 from both sides:
  • Step 3: 41+41=5041 41 + \triangle - 41 = 50 - 41 .
  • Step 4: This simplifies to =9\triangle = 9.

Therefore, the solution to the problem is =9 \triangle = 9 .

3

Final Answer

9 9

Key Points to Remember

Essential concepts to master this topic
  • Rule: Subtract the known addend from the total to find the missing value
  • Technique: From 41+=50 41 + \triangle = 50 , subtract 41 from both sides: =5041=9 \triangle = 50 - 41 = 9
  • Check: Substitute back into original equation: 41+9=50 41 + 9 = 50

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the variable
    Don't add 41 to both sides = =50+41=91 \triangle = 50 + 41 = 91 ! This makes the equation unbalanced because you're doing the wrong operation. Always subtract the known addend from both sides to isolate the missing value.

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 41 from both sides instead of adding?

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Because we need to undo the addition! Since 41 is being added to the triangle, we subtract 41 from both sides to isolate the triangle symbol.

What does the triangle symbol represent?

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The triangle \triangle is just a placeholder for an unknown number. It works exactly like using x or any other variable in algebra!

How do I check if my answer is correct?

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Replace the triangle with your answer in the original equation. If 41+9=50 41 + 9 = 50 , then your answer is correct!

Can I use this method for any addition equation?

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Yes! For any equation like a+?=c a + ? = c , subtract a from both sides to find the missing number: ?=ca ? = c - a .

What if the triangle was on the right side instead?

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The process is the same! For 50=41+ 50 = 41 + \triangle , you still subtract 41 from both sides to get =9 \triangle = 9 .

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