Solve -18-(24-13): Order of Operations with Negative Numbers

Parentheses with Negative Number Operations

18(2413)= -18-(24-13)=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first
00:10 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

18(2413)= -18-(24-13)=

2

Step-by-step solution

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

2413=11 24-13=11

Now we obtain the exercise:

1811=29 -18-11=-29

3

Final Answer

29 -29

Key Points to Remember

Essential concepts to master this topic
  • Order of Operations: Always solve expressions inside parentheses first
  • Technique: Calculate 24-13=11, then solve -18-11=-29
  • Check: Verify by working backwards: -29+11=-18, and 11+13=24 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and working left to right
    Don't calculate -18-24 first and get -42, then subtract 13 = wrong answer of -55! This violates PEMDAS order of operations rules. Always solve what's inside parentheses first, then proceed with the remaining calculation.

Practice Quiz

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\( 70:(14\times5)= \)

FAQ

Everything you need to know about this question

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

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Math has a special order called PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). Parentheses always come first, no matter where they appear in the problem!

What if I forget to do parentheses first?

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You'll get the wrong answer! In this problem, ignoring parentheses gives you 55 -55 instead of the correct 29 -29 . Always circle or highlight parentheses to remind yourself.

Is subtracting a positive number the same as adding a negative?

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Yes! 1811 -18-11 is exactly the same as 18+(11) -18+(-11) . Both give you -29. Think of subtraction as "adding the opposite."

How do I check my work on problems like this?

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Work backwards! If your answer is 29 -29 , add 11 to get 18 -18 . Then check that 2413=11 24-13=11 . If both steps work, you're correct!

What if there are multiple sets of parentheses?

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Solve them one at a time, working from the innermost parentheses outward. Always complete each set of parentheses before moving to the next operation.

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