Solve (15-9)×(7-3): Order of Operations Practice

Parentheses Operations with Sequential Steps

(159)×(73)= (15-9)\times(7-3)=

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Step-by-step video solution

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00:00 Let's start by solving the expressions within the parentheses

Step-by-step written solution

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1

Understand the problem

(159)×(73)= (15-9)\times(7-3)=

2

Step-by-step solution

According to the order of operations rules, we must first solve the expressions inside of the parentheses:

159=6 15-9=6

73=4 7-3=4

We obtain the following expression:

6×4=24 6\times4=24

3

Final Answer

24 24

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Always solve operations inside parentheses first
  • Technique: Calculate (159)=6 (15-9) = 6 and (73)=4 (7-3) = 4 separately
  • Check: Verify final multiplication: 6×4=24 6 \times 4 = 24

Common Mistakes

Avoid these frequent errors
  • Working left to right without respecting parentheses
    Don't calculate 15 - 9 × 7 - 3 = wrong answer! This ignores parentheses and gives incorrect results. Always solve everything inside parentheses first, then multiply the results.

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

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

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The order of operations (PEMDAS) requires parentheses first! Working left to right ignores this rule and gives wrong answers. Always handle parentheses before any other operations.

What if I forgot to do the parentheses first?

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You'll get the wrong answer! For example, calculating 159×73 15 - 9 \times 7 - 3 gives you a completely different (incorrect) result. Always start with parentheses.

Do I need to show each step separately?

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Yes! Show (159)=6 (15-9) = 6 and (73)=4 (7-3) = 4 first, then 6×4=24 6 \times 4 = 24 . This makes your work clear and helps you avoid mistakes.

What if there are multiple sets of parentheses?

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Solve each set of parentheses separately first, then perform the operations between them. The key is always handling all parentheses before moving to other operations.

How do I remember the order of operations?

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Use PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). Parentheses always come first!

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