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Complete the evaluation of each expression.$$\begin{aligned}\frac{46-2^{3}}{-3(5)-4} &=\frac{46-}{-4} \\&=\frac{ }{-} \\&=-2\end{aligned}$$
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Algebra
Chapter 1
An Introduction to Algebra
Section 7
Exponents and Order of Operations
The Language of Algebra
Equations and Inequalities
Functions
Linear Functions
Quadratic Functions
Polynomials
McMaster University
Idaho State University
Lectures
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So in this problem for being asked to the complete the evaluation of the given expression. Well, to do that, we need to follow the order of operations on when you're given the fraction. You must do order operations in both the numerator and denominator separately to get one number over a number number and then you can divide. So let's start with our new Marie there. Well, we have subtraction and we have a power. According to the order of operations, we should take care of our power first. Well, two to the third means two times two, which is four times two witches A so will fill in the blank in the numerator with now in the denominator, we have negative three times five minus four. So according to the order of operations, we must take care of our multiplication first. Well, negative. Three times five is negative. 15 Now in the numerator, we're just left with 46 minus eight, which is equal to 30 and end denominator. We have negative 15 minus four, which is negative. 19 and I know they already finished it up for you. But the correct answer is negative too, because 38 divided by negative 19 is equal to negative too.
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