Solve the Equation: Finding the Triangle's Value in 56 + △ = 60

Basic Addition Equations with Missing Addends

Determine the numerical value of the triangle:

56+=60 56+\triangle=60

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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:

56+=60 56+\triangle=60

2

Step-by-step solution

To solve this problem, we'll use basic arithmetic involving subtraction:

  • Step 1: Understand the equation 56+=6056 + \triangle = 60.
  • Step 2: To isolate \triangle, subtract 56 from 60.
  • Step 3: Calculate 605660 - 56, which gives us the value of \triangle.

Now, let's work through each step:

Step 1: We recognize that we need \triangle such that 56+=6056 + \triangle = 60.

Step 2: Subtract 56 from 60: 605660 - 56.

Step 3: Perform the calculation: 6056=460 - 56 = 4.

Therefore, the value of the triangle \triangle is 44.

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Rule: To find missing addend, subtract known addend from sum
  • Technique: Transform 56+=60 56 + \triangle = 60 into =6056 \triangle = 60 - 56
  • Check: Substitute back: 56+4=60 56 + 4 = 60

Common Mistakes

Avoid these frequent errors
  • Adding instead of subtracting to isolate the variable
    Don't add 56 to 60 to get =116 \triangle = 116 ! This gives the wrong operation and an impossible answer since 56 + 116 ≠ 60. Always subtract the known addend from the sum to find the missing addend.

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 56 from 60 instead of adding?

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Think of it like this: if you have 56 items and need to reach 60 total, you need to add something. To find that "something," you calculate how much more you need: 60 - 56 = 4.

What if the triangle was on the other side of the equation?

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If you had +56=60 \triangle + 56 = 60 , the answer would be exactly the same! Addition is commutative, meaning the order doesn't change the result.

How can I check if my answer is correct?

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Simply substitute your answer back into the original equation. Replace the triangle with your answer and see if both sides are equal: 56+4=60 56 + 4 = 60

What does the triangle symbol represent?

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The triangle ( \triangle ) is just a placeholder for an unknown number, like using 'x' in algebra. It represents the value we need to find to make the equation true.

Is there a faster way to solve this mentally?

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Yes! You can think: "What number plus 56 equals 60?" Count up from 56 to 60: 57, 58, 59, 60. That's 4 steps, so the answer is 4!

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