paulinanthebest
Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Emanuel used the calculations below to find the product of the given fractions.

(Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)

Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction

Step 2 StartFraction negative 12 over negative 90 EndFraction

Step 3 StartFraction 12 over 90 EndFraction

Step 4 StartFraction 2 over 15 EndFraction

In which step did his first error occur?
step 1
step 2
step 3
step 4

Sagot :

sqdancefan

Answer:

  step 1

Step-by-step explanation:

The product of fractions is the quotient of the product of the numerators and the product of the denominators. When negative fractions are involved, the sign of the result will be negative if the number of minus signs among the factors is odd.

__

setup

The product Emanuel wanted to compute was ...

  [tex]\dfrac{3}{5}\cdot\dfrac{4}{9}\cdot\left(-\dfrac{1}{2}\right)[/tex]

step 1

The first calculation step used was ...

  [tex]=\dfrac{3\cdot4\cdot(-1)}{5\cdot9\cdot(-2)}\qquad\textbf{Error}\text{ -- a minus sign added}[/tex]

The error was in the first step where a minus sign was added. This brings the total to an even number of minus signs, changing the sign of the result.

__

A more appropriate first step might have been ...

  [tex]=-\dfrac{3\cdot4\cdot1}{5\cdot9\cdot2}\qquad\text{correct first step}[/tex]

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.