Question

Simplify 17+[{8-(13+14)}÷3]+9

Answer 1

Answer:

$\Large\boxed{25}$

Step-by-step explanation:

$\large \boxed{\textnormal{Order of operations}}$

To use order of operations stands for (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) the numbers from left to right.

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Given:

First, you have to do is solve parenthesis.

17+[{8-(13+14)}÷3]+9

$\displaystyle(13+14)=27$

8-27÷3

Divide numbers from left to right.

$\displaystyle 27\div3=9$

8-9

Subtract numbers from left to right.

$\displaystyle 8-9=-1$

17-1+9

Then, add and subtract the numbers from left to right.

17-1+9

$\displaystyle 17-1=16$

$\displaystyle 16+9=\boxed{25}$

Therefore, the correct answer is 25.