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

Question

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

5(12)= 5\cdot(-\frac{1}{2})=

Video Solution

Solution Steps

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 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}

Answer

Negative