Answered

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According to the rules for the order of operations, what should be the first step when simplifying the expression: [tex]\left[5+2(7)+3^2\right] \div 2 \cdot 6[/tex]?

A. Add 5 and 2
B. Multiply 2 and 6
C. Square the 3
D. Multiply 2 and 7

Sagot :

GinnyAnswer
To simplify the expression [tex]\(\left[5 + 2(7) + 3^2\right] \div 2 \cdot 6\)[/tex], we need to follow the order of operations (PEMDAS/BODMAS):

1. Parentheses
2. Exponents
3. Multiplication and Division (left-to-right)
4. Addition and Subtraction (left-to-right)

Let's apply these rules step-by-step:

1. Expression inside the brackets: [tex]\(\left[5 + 2(7) + 3^2\right]\)[/tex]

Before we can simplify addition of 5 and [tex]\(2(7)\)[/tex], we need to handle the exponent first because exponents come before multiplication and addition.

2. Exponents: The exponent in the expression is [tex]\(3^2\)[/tex], which equals 9.

Therefore, the first step is to square the 3 resulting in [tex]\(3^2 = 9\)[/tex].
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