Lesson 16
Dividing Rational Numbers
Let's divide signed numbers.
Problem 1
Find the quotients:
- \(24 \div \text-6\)
- \(\text-15 \div 0.3\)
- \(\text-4 \div \text-20\)
Problem 2
Find the quotients.
- \(\frac25 \div \frac34\)
- \(\frac94 \div \frac {\text{-}3}{4}\)
- \(\frac {\text{-}5}{7} \div \frac {\text{-}1}{3}\)
- \(\frac {\text{-}5}{3} \div \frac16\)
Problem 3
Is the solution positive or negative?
- \(2\boldcdot x=6\)
- \(\text-2\boldcdot x=6.1\)
- \(2.9 \boldcdot x = \text-6.04\)
- \(\text-2.473\boldcdot x = \text-6.859\)
Problem 4
Find the solution mentally.
- \(3 \boldcdot \text-4 = a\)
- \(b \boldcdot (\text-3) = \text-12\)
- \(\text- 12 \boldcdot c = 12\)
- \(d \boldcdot 24 = \text-12\)
Problem 5
Find the products.
- \((100) \boldcdot (\text-0.09)\)
- \((\text-7) \boldcdot (\text- 1.1)\)
- \((\text-7.3) \boldcdot (5)\)
- \((\text-0.2) \boldcdot (\text-0.3)\)
Problem 6
Which graphs could not represent a proportional relationship? Explain how you decided.
![Four graphs.](https://staging-cms-im.s3.amazonaws.com/hFE6Dy2vJkEcRBhg2bKMBjYN?response-content-disposition=inline%3B%20filename%3D%227-7.2.E.PP.Image.01.png%22%3B%20filename%2A%3DUTF-8%27%277-7.2.E.PP.Image.01.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240722%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240722T150934Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=e6564b6b1208f8782857ac865e050d6157de882d3df1c872e9414c0d67acd46c)