Determine the Sign of 5 × (-1/2): Multiplication with Negative Fractions

Will the result of the exercise below be positive or negative?

5⋅(−12)= 5\cdot(-\frac{1}{2})=

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Step-by-step video solution

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00:00 What will be the sign of the result?
00:09 Positive times negative always equals negative
00:21 We'll move the multiplication to the numerator
00:24 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Will the result of the exercise below be positive or negative?

5⋅(−12)= 5\cdot(-\frac{1}{2})=

2

Step-by-step solution

Let's remember the rule:

(+x)×(−x)=−x (+x)\times(-x)=-x

Therefore, the sign of the exercise result will be negative:

+5×−12=−212 +5\times-\frac{1}{2}=-2\frac{1}{2}

3

Final Answer

Negative

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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