Solve the Equation: Find the Value in 94 - △ = 90

Linear Equations with Missing Addends

Determine the numerical value of the triangle:

94−△=90 94-\triangle=90

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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:

94−△=90 94-\triangle=90

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Understand the given equation 94−△=9094 - \triangle = 90. We need to find △\triangle.
  • Step 2: Move terms to isolate △\triangle:
    Rearrange the equation to: △=94−90\triangle = 94 - 90.
  • Step 3: Perform the subtraction: 94−90=494 - 90 = 4.
  • Step 4: Therefore, the value of △\triangle is 44.

Thus, the numerical value represented by the triangle is 4 \mathbf{4} .

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Isolation Rule: Move all known numbers to one side of equation
  • Technique: Rearrange 94−△=90 94 - \triangle = 90 to △=94−90 \triangle = 94 - 90
  • Check: Substitute back: 94−4=90 94 - 4 = 90 ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting when rearranging
    Don't write triangle = 94 + 90 = 184! This happens when you forget that moving a subtracted number changes its sign. Always remember: when moving 90 from the right side, it becomes triangle = 94 - 90.

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 does the 90 stay negative when I move it?

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When you move a number across the equals sign, its operation changes. Since 90 was being subtracted from triangle, when we isolate triangle, we get triangle = 94 - 90.

Can I solve this by adding to both sides instead?

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Yes! Add △ \triangle to both sides: 94=90+△ 94 = 90 + \triangle , then subtract 90: △=4 \triangle = 4 . Both methods work!

How do I check if 4 is really the right answer?

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Substitute 4 back into the original equation: 94−4=90 94 - 4 = 90 . Since this is true, your answer is correct!

What if I got a different number like 184?

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If you got 184, you likely added instead of subtracted. Remember: 94−184=−90 94 - 184 = -90 , not 90, so 184 can't be right!

Is there a shortcut for these missing number problems?

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  • For subtraction: Missing number = Start number - End number
  • For addition: Missing number = Total - Known addend

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