Solve (50-10) × 2: Order of Operations Practice

Order of Operations with Parentheses First

Solve the following equation:

(5010)×2= (50-10) \times 2 =

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following equation:

(5010)×2= (50-10) \times 2 =

2

Step-by-step solution

To solve the equation, follow these steps:

1. Start with the expression inside the parentheses: 5010 50 - 10 .

2. Calculate 5010 50 - 10 to get 40 40 .

3. Now multiply the result by 2: 40×2 40 \times 2 .

4. Calculate 40×2 40 \times 2 to get 80 80 .

Therefore, the final answer is 80 80 .

3

Final Answer

80 80

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses always come first before multiplication operations
  • Technique: Calculate (5010)=40 (50-10) = 40 , then 40×2=80 40 \times 2 = 80
  • Check: Work left to right: parentheses first gives 40, then multiply by 2 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and multiplying first
    Don't multiply 10 × 2 = 20, then subtract from 50 = 30! This ignores the parentheses rule and gives the wrong answer. Always solve what's inside parentheses before doing any other operations.

Practice Quiz

Test your knowledge with interactive questions

Solve the following equation:

\( 25 - (8 + 5) = \)

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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Math has special rules called PEMDAS that tell us the correct order. Parentheses always come first, even if they're not the leftmost part of the problem!

What if I forgot about the parentheses rule?

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If you multiply first (10×2=20 10 \times 2 = 20 ), then subtract (5020=30 50 - 20 = 30 ), you get the wrong answer! Always look for parentheses first.

How do I remember PEMDAS?

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Try the phrase "Please Excuse My Dear Aunt Sally": Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

What if there are multiple sets of parentheses?

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Work through each set of parentheses one at a time, usually from left to right. Solve what's inside each pair completely before moving on.

Does it matter that this problem has subtraction inside the parentheses?

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No! The parentheses rule applies regardless of what operation is inside. Whether it's addition, subtraction, multiplication, or division - parentheses always go first.

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