Digits 5-3 and 5-4 (Dividing Integers and Rational Numbers)
Digits 5-3 (Dividing Integers)
1.) Classify the quotient 4 / (-1) as positive, negative, zero, or undefined. ______________
2.) Divide -90 / 9
3.) Write the rational number -(4/7) as the quotient of two integers in two different ways.
A.) -4/-7
B.) –(-4/7)
C.) 4/7
D.) –(4/-7)
E.) -4/7
4.) Label each of the following as either being equal to 0 or being undefined:
A.) 0/1
B.) -2/0
C.) -1/0
D.) 0/-6
E.) 0/-2
F.) 0/0
5.) A cave diver descends 107 feet in 10 minutes at a constant rate. Which of the following express
the rate of the cave diver’s change in depth as a rational number in the form of a quotient of integers?
A.) -107 feet
B.) -107 feet
C.) 107 feet
10 minutes
-10 minutes
10 minutes
6.) A parachutist decsends 90 feed in 5 seconds. Express the rate of the parachutist’s change in height
as a unit rate.
___________________ feet per second
7.) -20
0
Find the quotient or label the expression as undefined.
9.) Classify the quotient - -24 as positive, negative, zero, or undefined.
4
10.) A company loses $78 as a result of a shipping delay. The 6 owners of the company must share
that loss equally. Set up an expression to model this situation and then calculate the answer.
11.) Which of the following quotients are equivalent to -1.5? Select all that apply.
A.) -9/6
B.) 3/-2
C.) -9/-6
D.) -3/-2
E.) 9/-6
13.) The population of a certain city decreased by 9126 in 30 years. Express the change inpopulation
per year as a unit rate.
14.) Calculate: -152/-8
15.) The price of a stock steadily decreased by a total of $127 over the past 15 months. Write the
change in price as a rate. (Do not calculate. Just set up as a rate.)
Digits 5-4 (Dividing Rational Numbers)
1.) What is the reciprocal of -19/4?
2.) What is the reciprocal of -5/9?
3.) What is the multiplication expression that is equivalent to this division expression:
-2 ÷ 5
12 36
4.) Divide and simplify.
6
7
÷
-11
2
5.) Divide and simplify.
21
2
÷ -7
2
6.) The equation d=5/6 * t describes the distance, d, in yards an object travels in t minutes. How long
does it take the object to travel 1 1/3 yards?
A.) 53 seconds
B.) 1 minute
C.) 1 minute 36 seconds
d.)2 minutes, 36 seconds
7.) What is the reciprocal of 2 5/7?
What is the reciprocal of 7/19?
8.) What is the reciprocal of 5 1/3?
What is the reciprocal of 3/16
9.) Find the quotient. .
3 ÷
4
3
8
10.) A certain plan grows 1 1/6 inches every week. How long will it take the plant to grow 6 1/6
inches?
11.) Find the quotient.
3 ÷
8
1
16
12.) What is the reciprocal of -4 7/8?
13.) Find the quotient.
3 1 ÷ -1 4
6
9
14.) Find the quotient: -2 1
8
15.) Find the quotient:
÷ 64
5
3 ÷
7
9
5