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Simplify: I3 - 6| - (12 ÷ 6 + 1)3

Simplify: I3 - 6| - (12 ÷ 6 + 1)3-example-1
User Fan
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2 Answers

3 votes

Answer:

-6 hope it helps

thank you

User Matthew Gillingham
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1 vote

Solution

The question would like us to evaluate the following expression


|3-6\left|-(12/6+1\right)^2

- We should deal with the modulus and bracket separately.

- After that, we can then perform the subtraction operation on the results of the modulus and bracket.

- This is done below:


\begin{gathered} |3-6|=|-3\left|\right? \\ |-3\left|\right?=3\text{ \lparen Because the modulus always returns a positive number\rparen} \end{gathered}

Also,


\begin{gathered} \lparen12/6+1)^2 \\ By\text{ the rules of PEDMAS,} \\ Division\text{ comes before Addition, thus, we should perform the division operation first} \\ 12/6=2 \\ \\ \lparen2+1)^2=3^2=9 \end{gathered}

Thus, combining both results, we have:


\begin{gathered} 3-9 \\ =-6 \end{gathered}

Final Answer

The answer is -6

User Derek Organ
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