Solve for the Missing Number: 8×7-3+?=60

Order of Operations with Unknown Variables

8×73+?=60 8\times7-3+?=60

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Step-by-step video solution

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00:02 Multiplication comes before addition and subtraction
00:24 Subtract 53 from both sides of the equation to isolate the unknown

Step-by-step written solution

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1

Understand the problem

8×73+?=60 8\times7-3+?=60

2

Step-by-step solution

According to the rules of operations, we first place the multiplication exercise in parentheses:

(8×7)3+?=60 (8\times7)-3+?=60

8×7=56 8\times7=56

Now we obtain the exercise:

563+?=60 56-3+?=60

We reduce the subtraction exercise:

563=53 56-3=53

We obtain the exercise:

53+?=60 53+?=60

We move 53 to the other side and change to the correct sign:

?=6053 ?=60-53

?=7 ?=7

3

Final Answer

7 7

Key Points to Remember

Essential concepts to master this topic
  • Rule: Follow PEMDAS order - multiplication first, then subtraction and addition
  • Technique: Calculate 8×7=56, then 56-3=53, finally 60-53=7
  • Check: Substitute 7 back: 8×7-3+7 = 56-3+7 = 60 ✓

Common Mistakes

Avoid these frequent errors
  • Adding or subtracting before multiplying
    Don't solve left to right like 8×7-3+?=60 → 8×4+?=60! This ignores order of operations and gives wrong results. Always multiply first (8×7=56), then work left to right with addition and subtraction.

Practice Quiz

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\( 8 + 3 \times 2 = \)

FAQ

Everything you need to know about this question

Why can't I just work from left to right?

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Mathematics has a specific order of operations (PEMDAS) that everyone follows. Without it, 8×73 8\times7-3 could mean different things to different people!

What does the ? represent in this equation?

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The ? is an unknown variable - a missing number we need to find. It's just like using x or y in algebra, but written as a question mark to show we're looking for it.

How do I isolate the unknown on one side?

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First, simplify everything you can on the left side: 8×73=53 8\times7-3 = 53 . Then you have 53+?=60 53+? = 60 . Subtract 53 from both sides to get ?=7 ? = 7 .

What if I get a different answer when I check?

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If substituting your answer doesn't give you 60, check your order of operations! Make sure you multiplied 8×7 first, then subtracted 3, then added your answer.

Can I solve this without following PEMDAS?

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No! Order of operations is a fundamental rule in mathematics. Ignoring it will give you the wrong answer every time. Think of it like following a recipe - you must do steps in the right order.

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