Question

Evaluate the expression using order of operations - 6 • (-5² + 20)

Answer 1

30

Explanation:

The expression to evaluate is:

-6 • (-5² + 20)

Using the order of operations, we should first simplify any expressions inside parentheses, then perform any exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.

Following the order of operations, we need to simplify the expression inside the parentheses first:

-6 • (-5² + 20)

= -6 • (-25 + 20) (Exponent: -5² = (5) • (5) = -25)

= -6 • (-5)

= 30

Therefore, the expression evaluates to 30.

If we ignore the order of operations and perform the operations in a different order, we would get a different result. For example, if we perform the multiplication first, we get:

-6 • (-5² + 20) = -6 • (-25 + 20) = -6 • -5 = -30

which is the correct answer.

However, if we perform the exponent first and ignore the parentheses, we get:

-6 • (-5² + 20) = -6 • (-25 + 20) = -6 • -5 = 30

which is also the correct answer.

Therefore, it is important to follow the order of operations to get the correct result and avoid any confusion or mistakes.

Answer 2

30

Explanation:

What is order of operations? (PEMDAS)

In mathematics, the order of operations (PEMDAS) is a way to solve a given mathematical expression. This gives rules on which task should be performed first.

What is the order?

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

To solve the given equation:

• - 6 × (-5² + 20)

First, we need to solve what is in the parenthesis.

• -5² = -25

• -25 + 20 = -5

Now, the expression looks like this:

• -6 × -5 = 30

Therefore, - 6 • (-5² + 20) = 30.