Gabbyhelleneidn
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Using the order of operations, what should be done first to evaluate [tex]\[(-2)^3 + 4 \div (-15 + 9)(3) - 4\][/tex]?

A. Add -15 and 9.
B. Divide 4 by -15.
C. Subtract 4 from 3.
D. Multiply 9 by 3.

Sagot :

GinnyAnsweridn
To evaluate the expression [tex]\[(-2)^3 + 4 \div (-15 + 9) \cdot (3) - 4\][/tex], we will follow the order of operations, which is represented by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The first step is to evaluate any expressions within parentheses. Let's look at the given options:

1. Add -15 and 9.
2. Divide 4 by -15.
3. Subtract 4 from 3.
4. Multiply 9 by 3.

According to PEMDAS, we start with the operations within the parentheses before any other operations.

In this case, [tex]\((-15 + 9)\)[/tex] is the expression within the parentheses.

So, the first thing we should do is:

Add -15 and 9.

This simplifies the expression inside the parentheses:

-15 + 9 = -6

Now the expression becomes:

[tex]\[(-2)^3 + 4 \div (-6) \cdot (3) - 4\][/tex]

We can then proceed to the next steps following the order of operations.
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