Solve 49-(53-18): Order of Operations with Integer Subtraction

Parentheses with Nested Subtraction

49(5318)= 49-(53-18)=

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Step-by-step video solution

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00:00 Solve
00:03 Always solve parentheses first
00:09 Continue solving as usual
00:12 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

49(5318)= 49-(53-18)=

2

Step-by-step solution

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

5318=35 53-18=35

We obtain the exercise:

4935=14 49-35=14

3

Final Answer

14 14

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always solve expressions inside parentheses first completely
  • Technique: Calculate 5318=35 53-18=35 before subtracting from 49
  • Check: Verify 4935=14 49-35=14 by working left to right ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right ignoring parentheses
    Don't calculate 49-53 first = -4, then subtract 18 to get -22! This ignores the parentheses completely and violates order of operations. Always solve what's inside parentheses before anything else.

Practice Quiz

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\( 100-(5+55)= \)

FAQ

Everything you need to know about this question

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

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

What if I get a negative number in my parentheses?

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That's totally normal! Just calculate what's inside carefully. For example, if you had (1853) (18-53) , you'd get 35 -35 , and that's your correct answer for the parentheses.

How do I remember to do parentheses first?

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Think of parentheses as a box - you must solve everything inside the box before you can use that result anywhere else. It's like unwrapping a present!

What happens if I have multiple sets of parentheses?

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Solve each set of parentheses separately first, then use those results in the rest of the problem. Work from the innermost parentheses outward if they're nested.

Can I check my answer by working backwards?

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Yes! Start with your answer 14, add 35 to get 49. Then check that 5318=35 53-18=35 . If both match the original numbers, you're correct!

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