Solve: 9 × (2 × 1) Using Order of Operations

Order of Operations with Parentheses

9×(2×1)= 9 \times (2 \times 1) =

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Step-by-step written solution

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1

Understand the problem

9×(2×1)= 9 \times (2 \times 1) =

2

Step-by-step solution

First, calculate the expression within the parentheses:

2×1=2 2 \times 1 = 2

Now, multiply the result by 9:

9×2=18 9 \times 2 = 18

Thus, the final answer is 18.

3

Final Answer

18

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always calculate expressions inside parentheses first
  • Technique: First solve 2 × 1 = 2, then multiply 9 × 2 = 18
  • Check: Work backwards: 18 ÷ 9 = 2 and 2 ÷ 2 = 1 ✓

Common Mistakes

Avoid these frequent errors
  • Ignoring parentheses and calculating left to right
    Don't calculate 9 × 2 × 1 = 18 by going left to right! This accidentally gives the right answer but breaks the order of operations rules. Always solve what's inside parentheses first, then multiply by numbers outside.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do parentheses come first in order of operations?

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Parentheses are like mathematical containers that group operations together. They tell you exactly which calculation to do first, making math expressions clear and unambiguous!

What if there are multiple sets of parentheses?

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Work from the innermost parentheses outward. Solve the deepest nested expression first, then work your way out to the outer parentheses.

Can I get the same answer without following order of operations?

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Sometimes you might get lucky, but not always! Following PEMDAS/BODMAS ensures you get the correct answer every time, not just by accident.

What comes after parentheses in order of operations?

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After parentheses, handle exponents, then multiplication and division (left to right), and finally addition and subtraction (left to right). Remember: PEMDAS!

Do I need to show every step when solving?

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Yes! Writing out each step helps you avoid mistakes and shows your teacher you understand the process. It's especially important with order of operations problems.

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