Studdy AI Logo
Math

Question Find the value of pr−rp r - r when p=−7p = -7 and r=12r = \frac{1}{2}.

Studdy Solution

STEP 1

Assumptions
1. The value of p p is given as −7 -7 .
2. The value of r r is given as 12 \frac{1}{2} .

STEP 2

We need to evaluate the expression pr−r p r - r using the given values of p p and r r .

STEP 3

Substitute the given values of p p and r r into the expression.
pr−r=(−7)(12)−12 p r - r = (-7) \left(\frac{1}{2}\right) - \frac{1}{2}

STEP 4

First, multiply p p and r r .
(−7)(12)=−72 (-7) \left(\frac{1}{2}\right) = -\frac{7}{2}

STEP 5

Now, rewrite the expression with the calculated product.
−72−12 -\frac{7}{2} - \frac{1}{2}

STEP 6

Since both terms have a common denominator, we can combine them by subtracting their numerators.
−72−12=−7+12 -\frac{7}{2} - \frac{1}{2} = -\frac{7 + 1}{2}

STEP 7

Perform the subtraction in the numerator.
−7+12=−82 -\frac{7 + 1}{2} = -\frac{8}{2}

STEP 8

Simplify the fraction by dividing the numerator by the denominator.
−82=−4 -\frac{8}{2} = -4
The value of pr−r p r - r is −4 -4 .

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord