Evaluate each expression. See Example 5. -8 + (-4) (-6) ÷ 12 4...

Question

Evaluate each expression. See Example 5. -8 + (-4) (-6) ÷ 12 4 - (-3)

Accepted Answer

Hello, everyone. We are asked to evaluate the following expression. We are given a fraction and the numerator is negative 14 plus in parentheses, negative eight, multiplied by the parentheses, negative six divided by three. The denominator is seven minus in parentheses, negative eight. Our answer choices are a 1/5 B two divided by 15 C four, divided by 15 D four thirds. So looking at this, I realized that this needs to be order of operations. And I recall that the acronym pdas helps me solve order of operations. So P stands for parentheses. In this case, we do not have any parentheses, but we can think of parentheses as grouping symbols. So our numerator and our denominator are gonna be separate grouping symbols. So we will not combine those two together until the last step. So again, our numerator was negative 14 plus the parentheses negative eight multiplied the by the parentheses negative six divided by three. And our denominator is seven minus in parentheses negative eight. So the E in peda is exponents, we do not have any. So we will move on M and D get grouped together. They are multiply or divide, whichever comes first from left to right is the one we will do first. So treating my numerator and my denominator as two separate things. Right now, in the numerator going across for multiplication, the first multiplication I encounter is negative eight, multiplied by negative six. So I'm rewriting negative plus negative eight, multiplied by negative six is a positive and then divided by three, all of which is divided by seven minus in parentheses. Negative eight, I still have division I can do in the numerator. So I'm gonna do that next. So I have negative 14 plus and then 48 divided by three which is 16, divided by seven minus in parentheses. Negative eight. All right. So we did our multiplier divide step. Next is A and S which is A or subtract again, whichever comes first from left to right. So in our numerator, negative 14 plus 16 is a positive two in our denominator seven minus negative eight is like seven plus eight which is 15. So now we have this simplified to two divided by 15. If our answer choices were in decimal form, I would do division here. But since they are not, and they want this to be in a fraction form. This is our answer two divided by 15 which is answer choice B have a nice day.

Evaluate each expression. See Example 5. -8 + (-4) (-6) ÷ 12 4 - (-3)

Key Concepts

Order of Operations

Multiplication and Division of Negative Numbers

Simplifying Expressions with Negative Signs

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