Evaluate the Expression (c·a)/(a·c) = 0: True or False?

Question

Indicate whether true or false

$\frac{c\cdot a}{a\cdot c}=0$

Video Solution

Solution Steps

00:00 Determine if the equation is correct

00:05 Let's reduce what we can

00:10 When we can reduce the entire fraction, we are left with 1

00:13 Therefore the equation is not correct

00:16 And this is the solution to the question

Step-by-Step Solution

Let's simplify the expression on the left side of the proposed equation:

$\frac{\not{c}\cdot \not{a}}{\not{a}\cdot \not{c}}\stackrel{?}{= }0 \\ 1 \stackrel{?}{= }0$ Clearly, we get a false statement because: 1 is different from: 0

$\boxed{ 1 \stackrel{!}{\neq }0}$ Therefore, the proposed equation is not correct,

Which means the correct answer is answer B.

Answer

Not true

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