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

Test your knowledge with interactive questions

Solve the following problem:

\( 187\times(8-5)= \)

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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