Solve the Expression: Evaluating 22-(28-3) Using Order of Operations

Order of Operations with Nested Parentheses

22(283)= 22-(28-3)=

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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

22(283)= 22-(28-3)=

2

Step-by-step solution

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

283=25 28-3=25

Now we obtain the exercise:

2225=3 22-25=-3

3

Final Answer

3 -3

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve expressions inside parentheses first
  • Technique: Calculate 28-3=25, then substitute into 22-25
  • Check: Verify 22-(28-3) = 22-25 = -3 gives negative result ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and solving left to right
    Don't calculate 22-28 first = -6, then subtract 3 = -9! This ignores the order of operations completely. Always solve what's inside parentheses first, then work outward.

Practice Quiz

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

FAQ

Everything you need to know about this question

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

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Mathematics has specific rules called the order of operations (PEMDAS). Just like traffic lights tell us when to go, these rules tell us which calculations to do first. Parentheses always come first!

What if I forget to do the parentheses first?

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You'll get the wrong answer! In this problem, skipping parentheses gives you 9 -9 instead of the correct answer 3 -3 . Always look for parentheses before starting any calculation.

How do I remember PEMDAS?

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Try the phrase "Please Excuse My Dear Aunt Sally" - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. Or create your own memorable phrase!

Why is my answer negative?

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That's correct! When you subtract a larger number from a smaller number, you get a negative result. 2225=3 22-25 = -3 because 25 is bigger than 22.

Can I check my work another way?

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Yes! You can use a calculator to verify, or think of it as: "22 take away 25 leaves me 3 short" which means 3 -3 . The negative shows you're 3 below zero.

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