Solve the Expression: 80-(4-12) Using Order of Operations

Order of Operations with Negative Parentheses

80−(4−12)= 80-(4-12)=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first
00:11 Note - negative times negative is always positive
00:17 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

80−(4−12)= 80-(4-12)=

2

Step-by-step solution

According to the order of operations, we first solve the exercise within parentheses:

4−12=−8 4-12=-8

Now we obtain the exercise:

80−(−8)= 80-(-8)=

Remember that the product of plus and plus gives us a positive:

−(−8)=+8 -(-8)=+8

Now we obtain:

80+8=88 80+8=88

3

Final Answer

88 88

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve operations inside parentheses first before other operations
  • Technique: Calculate 4-12=-8, then solve 80-(-8)=80+8=88
  • Check: Verify parentheses first: (4-12)=-8, then 80+8=88 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and calculating left to right
    Don't calculate 80-4-12=64! This ignores the parentheses grouping and gives the wrong result. The parentheses tell us to calculate 4-12 first, getting -8, then solve 80-(-8). Always follow PEMDAS and solve parentheses first.

Practice Quiz

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\( 60:(10\times2)= \)

FAQ

Everything you need to know about this question

Why don't I just go left to right like 80-4-12?

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The parentheses change everything! They group 4-12 together, which must be calculated first according to the order of operations (PEMDAS). Without following this rule, you get the wrong answer.

How does subtracting a negative number work?

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When you subtract a negative number, it becomes addition! Think of it as: 80−(−8)=80+8 80-(-8) = 80+8 . The two negative signs cancel out to make a positive.

What if I get confused about the negative signs?

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Take it step by step: First, solve inside parentheses to get -8. Then rewrite as 80-(-8). Finally, remember that minus negative equals plus: 80+8=88.

Is there a way to check my answer?

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Yes! Substitute back: If 88 is correct, then 88−(4−12) 88-(4-12) should equal 88−(−8)=88+8=96 88-(-8) = 88+8 = 96 ... wait, that's wrong! Let me recalculate: 80−(−8)=80+8=88 80-(-8) = 80+8 = 88 ✓

Do I always need to use PEMDAS for simple problems?

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Always! Even in simple problems, order of operations prevents mistakes. Parentheses, Exponents, Multiplication/Division, Addition/Subtraction - follow this order every time.

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