Solve Expression 9-6÷(4×3)-1: Order of Operations Practice

Order of Operations with Division by Products

96:(4×3)1= 9-6:(4\times3)-1=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this problem together.
00:09 First, always tackle what's inside the parentheses.
00:15 Remember, multiply and divide before you add or subtract.
00:19 You can think of division as creating a fraction.
00:23 Break down twelve into its factors: six and two.
00:29 Now, let's simplify.
00:35 Keep solving step-by-step, using the order of operations.
00:43 And that's how we find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

96:(4×3)1= 9-6:(4\times3)-1=

2

Step-by-step solution

We simplify this expression paying attention to the order of operations which states that exponentiation comes before multiplication and division, and before addition and subtraction, and that parentheses precede all of them.

Therefore, we start by performing the multiplication within parentheses, then we carry out the division operation, and we finish by performing the subtraction operation:

96:(43)1=96:121=90.51=7.5 9-6:(4\cdot3)-1= \\ 9-6:12-1= \\ 9-0.5-1= \\ 7.5

Therefore, the correct answer is option C.

3

Final Answer

7.5

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses first, then multiplication/division left to right
  • Technique: Calculate 4×3=12 4 \times 3 = 12 , then 6÷12=0.5 6 \div 12 = 0.5
  • Check: Work step by step: 90.51=7.5 9 - 0.5 - 1 = 7.5

Common Mistakes

Avoid these frequent errors
  • Working left to right without following order of operations
    Don't calculate 9 - 6 = 3 first and ignore parentheses = wrong answer 0.75! This violates PEMDAS rules and gives completely incorrect results. Always solve parentheses first, then handle multiplication and division before subtraction.

Practice Quiz

Test your knowledge with interactive questions

\( 94+12+6= \)

FAQ

Everything you need to know about this question

Why do I have to do the multiplication in parentheses first?

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Parentheses always come first in PEMDAS! They tell you which operation to prioritize. In 6:(4×3) 6:(4\times3) , you must calculate 4×3=12 4 \times 3 = 12 before dividing.

What does the colon symbol (:) mean in this problem?

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The colon (:) means division, just like the ÷ symbol. So 6:12 6:12 is the same as 6÷12=0.5 6 ÷ 12 = 0.5 .

How do I get 0.5 when dividing 6 by 12?

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When the numerator is smaller than the denominator, you get a decimal! 6÷12=612=12=0.5 6 ÷ 12 = \frac{6}{12} = \frac{1}{2} = 0.5 . Think of it as half.

Can I work from left to right since it's easier?

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No! You must follow PEMDAS order, not reading order. Working left to right gives wrong answers. Always do parentheses first, then multiplication/division, then addition/subtraction.

Why is my answer different from 7.5?

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Check your steps! Common errors: forgetting parentheses give 4×3=12 4 \times 3 = 12 , or calculating 96 9 - 6 first. Follow PEMDAS carefully and work step by step.

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