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Evaluate each expression.$$\frac{2(-4-2 \cdot 2)}{3(-3)(-2)}$$
$$-\frac{8}{9}$$
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
Harvey Mudd College
University of Michigan - Ann Arbor
Idaho State University
Lectures
01:32
In mathematics, the absolu…
01:11
01:22
Evaluate each expression.<…
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00:22
00:55
00:24
01:48
00:29
00:58
00:32
02:05
this problem we're being asked to evaluate to given expression. Well, because it's a fraction we need to evaluate both the numerator and denominator separately and then reduce as we see fit. Well, in the numerator, I have a grouping. Simple. And when in the graphic symbol I have subtraction. Multiplication. So we must take care of the multiplication first. Well, we have two times two, which is four. So we're gonna have two times to quantity of negative four minus four in the denominator. All we have is multiplication. So we're gonna go from left to right? Well, first, that means we do three times Negative three, which is negative. Not several left with negative nine times negative too. Now, back in the numerator, we still have our grouping. Simple. So we have to do. The operation went in it, which is negative for minus four, which is negative. So we're left with two times negative in the denominator. We just have negative nine times negative too, which is positive. 18. Now in the numerator, we have two times negative eight, which is negative, 16. And I'm gonna keep that 18 and denominator. And now we just need to reduce well. To do that, I can divide both the numerator and denominator by two. And negative 16 divided by two is navy an 18 divided by two is nine. So what we've found?
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