Evaluate -a/b: Solving with Values (8,-4) and (-8,4)

$-\frac{a}{b}$

Substitute the following into the expression above and solve.

Video Solution

Solution Steps

00:00 Place and Calculate

00:03 Let's start by placing the first option

00:13 Positive divided by negative always equals negative

00:20 Negative divided by negative always equals positive

00:29 This is the solution for option A, now let's calculate option B

00:35 Let's substitute according to the data of option B

00:41 Negative divided by positive always equals negative

00:48 Negative multiplied by negative always equals positive

00:55 And this is the solution to the question

Step-by-Step Solution

Let's start with the first option.

Let's substitute the data into the expression:

$-\frac{8}{-4}=$

First, we can see that in the fraction we are dividing a positive number by a negative number, therefore the result will be negative:

$-\times-\frac{8}{4}=$

Now we can see that we have a multiplication between two negative numbers and therefore the result must be positive:

$+\frac{8}{4}=2$

Let's continue with the second option.

Let's substitute the data into the expression:

$-\frac{-8}{4}=$

First, we can see that in the fraction we are dividing a positive number by a negative number, therefore the result will be negative:

$-\times-\frac{8}{4}=$

Now we can see that we have a multiplication between two negative numbers and therefore the result must be positive:

$+\frac{8}{4}=2$

Therefore the final answer is:

$1,2=+2$