Multiplication and
Division of Rational Numbers
Division of Rational Numbers
Identify the sign of the following product:
-1,200 x (-490)
Positive
Find the product:
(−4)(−8)(−5)
-160
Write out 4/5 into an expression.
4 ÷ 5
Find the Quotient:
2.8/-4
-0.7
What are the steps to the Three Reads for a word problem?
You read the problem. What's happening?
Circle, Box, Underline Important Information
What's the problem asking?
What combination of signs (positive/negative) has the total that becomes negative, when multiplied or divided?
Positive and Negative
What sign will this product have?
(−5)(−2)(3)(−1)(−1)(−4)
Negative
What kind of decimal is the fraction 1/3?
Repeating decimal
Find the Quotient:
7/10 divided by -1/5
-3 1/2 or -3.5
What do you circle or box in the second step?
Numbers, key words, and important information
The usage of "per" in math, like "per pound", "per month", "per gallon". Relates to what expression?
Multiplication/Division
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive, and half are negative. Is the product positive or negative?
Positive
Solve using long division:
-100 ÷ 11
-9.09
A cell phone company has three plans to pay off a phone. What's the best deal?
$35 dollars per month for 1 year
$25 dollars per month for 18 months
$20 dollars per month for 2 years
$35 dollars per month for 1 year
In 4 1/2 minutes, a diver swims from the surface to an elevation -85 feet to take pictures of fish, swimming at a constant speed. How many feet of elevation changed every minute during the descent?
Give the best SHORT summary what's happening in the problem.
A diver is swimming to take pictures of fish.
$-2
A scientist decreases a temperature of a freezer 0.5 degrees, 3 times per hour. Write the expression of how to solve the total after 2 days.
2(24)(3)(-0.5)
Convert 3 5/8 into a decimal.
3.625
Eddie wants to see a waterfall. He starts his hike 9 miles from the waterfall. He hikes at a speed of 1.5 miles per hour. How far will be from the waterfall after 3 hours?
4.5 miles
In 4 1/2 minutes, a diver swims from the surface to an elevation -85 feet to take pictures of fish, swimming at a constant speed. How many feet of elevation changed every minute during the descent?
What are some things you need to circle/box in the problem?
4 1/2 minutes
-85 feet
descent
Solve:
−2(−5 + 9)
-8
A map has a scale that every 1 inch equals to 20 miles. If a map has two cities that are 5.5 inches apart. How far are the cities in real life?
110 miles
Rafael is buying 1 3/8 pounds of salad at a salad bar that charges $6.80 per pound. How much did did he pay?
$9.35
Tanisha takes a dance class that is priced 12.50 per class. The charge appears as negative on her account balance until she makes her monthly payment. What is her balance after a 4-week period after attending 3 classes per week.
$-150
In 4 1/2 minutes, a diver swims from the surface to an elevation -85 feet to take pictures of fish, swimming at a constant speed. How many feet of elevation changed every minute during the descent?
What is the problem ASKING?
How many feet of elevation changed every minute during the descent?