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

Indicate whether true or false

c⋅aa⋅c=0 \frac{c\cdot a}{a\cdot c}=0

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

Indicate whether true or false

c⋅aa⋅c=0 \frac{c\cdot a}{a\cdot c}=0

2

Step-by-step solution

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

c̸⋅a̸a̸⋅c̸=?01=?0 \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

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

Which means the correct answer is answer B.

3

Final Answer

Not true

Practice Quiz

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Complete the corresponding expression for the denominator

\( \frac{12ab}{?}=1 \)

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