Solve 48-(35+(-3)): Order of Operations with Negative Numbers

Parentheses with Negative Number Addition

48(35+(3))= 48-(35+(-3))=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 We always solve parentheses first, the rule applies even within parentheses
00:07 We always solve the "innermost" parentheses first
00:10 Note, positive times negative will always be negative
00:15 Now let's solve the parentheses
00:22 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

48(35+(3))= 48-(35+(-3))=

2

Step-by-step solution

According to the order of operations, we first address the innermost parentheses:

Remember that a product of addition and subtraction results in a negative outcome, therefore:

+(3)=3 +(-3)=-3

The exercise we obtained is:

48(353)= 48-(35-3)=

Now we solve the exercise within the parentheses:

353=32 35-3=32

We obtain:

4832=16 48-32=16

3

Final Answer

16 16

Key Points to Remember

Essential concepts to master this topic
  • Rule: Solve innermost parentheses first, then work outward systematically
  • Technique: Adding negative numbers: 35+(-3) becomes 35-3=32
  • Check: Substitute final result: 48-32=16 matches our answer ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and working left to right
    Don't solve 48-35+(-3) = 13+(-3) = 10! This ignores order of operations and gives the wrong answer. Always solve what's inside parentheses first: 48-(35+(-3)) = 48-32 = 16.

Practice Quiz

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

FAQ

Everything you need to know about this question

Why does +(-3) become -3?

+

When you add a negative number, it's the same as subtracting! Think of it as: plus a negative equals minus. So +(3)=3 +(-3) = -3 .

What if I solved 48-35 first instead?

+

That would give you the wrong answer! Order of operations says parentheses come before subtraction. You must solve (35+(3)) (35+(-3)) first to get 32, then 4832=16 48-32 = 16 .

How do I remember the order of operations?

+

Use PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. Always work from innermost parentheses outward!

Can I remove the parentheses differently?

+

Yes! You could distribute the negative sign: 48(35+(3))=4835(3)=4835+3 48-(35+(-3)) = 48-35-(-3) = 48-35+3 . But it's easier to solve inside the parentheses first.

What's the difference between -(+3) and +(-3)?

+

Both equal -3! The negative sign always wins. Whether it's outside like -(+3) or inside like +(-3), the result is negative.

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