Vocabulary
Counting numbers, their opposites and Zero.
What are integers?
Henry runs up 10 flights of stairs. then runs down 10 flights of stairs. Does this situation represent additive inverses? Explain.
Yes; The numbers combine to zero.
10+ (-10)=0
The temperature one morning was -4.7 degrees F and rose to 11.6 degrees F that night. Find the difference in the temperatures.
16.3 degrees F
Find the Quotient. Express your answer as a simplified fraction.
(3/10) / 3.8
3/38
(-7/12) / (1/7)
-4 1/12
Rewriting an expression in basic terms after performing operations.
What is Simplifying?
Five out of six students said baseball was their favorite sport. What is the decimal equivalent for the number of students who chose baseball?
5/6 = .8333333
Kara had a savings account balance of $153 on Monday. On Tuesday, she had six withdrawals of $15.72 and a deposit of $235.15. What was her account balance after these transactions?
$293.83
$153+ (-$15.72 * 6) +$235.15= $293.83
-8-(-3)
-5
-0.05 / (-5/8)
.08 or 2/25
Two numbers whose product is 1
What are a reciprocals?
A company had a loss of -$1,786.50 over the past 1.5 years. What was the company's average loss per year?
-$1,191
A jewelry company loses $450 as a result of a delivery delay. The 9 owners of the company must share the loss equally. Which integer represents the change in profit for each owner?
-$50
$450/9= 50
A loss of $50 each
-5.5 * 0.021
-0.1155
(-2/7)/(1 1/3)
-3/14
A Fraction in the numerator, the denominator, or both; and the denominator is not Zero.
What is a complex fraction?
The water level of a lake fell by 1 1/2 inches during a 1 2/3 week long dry spell. Find the average rate at which the water level changed every week.
- 9/10 in per week
1 1/2 / 1 2/3
3/2 / 5/3
3/2 * 3/5 = 9/10
a loss of 9/10 per week.
Daily Double!!!
The outside temperature decreases by 7 degrees in 3 1/2 hours.
PART A
How would you represent the temperature change as a unit rate? Express your answer as an integer.
PART B
If the temperature continues to decrease at this rate, what will be the change in temperature after 5 hours.
PART A -2 degrees F per hour
PART B -10 degrees F
A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 6 1/6 inches?
5 2/7 or 5 weeks, 2 days
1 1/6 inches divided by 7 days.
7/6 divided by 7 days = 1/6 per day
6 1/6 / 1/6 =37 days
37 days = 5 weeks and 2 days
(-9/10)/(1 3/5)
-9/16
The answer to a division problem.
What is a quotient?
Josie deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals, how much money is in Josie's account at the end of four months?
$309.20
$35.20 (4) = 140.80
$450-$140.80= $309.20
A half-marathon is 13.1 miles long. There is a water station every 1 11/120 miles along the race trail. Which expression represents the total number of water stations?
A. 13.1 - 1 11/120
B. 13.1 + 1 11/120
C. 13.1 ( 1 11/120)
D. 13.1 / (1 11/120)
D.
13.1 / (1 11/120)
Between 10:00 pm and 7:45 am, the water level in a swimming pool decreased by 13/16 inch.
Assuming that the water level decreased at a constant rate, how much did it drop each hour?
The water level decreased by 1/12 inch each hour
13/16 divided by 9.75 hours
Which multiplication expression is equivalent to the division expression (-7/17) / (13/34)?
A. (-17/7) * (13/34)
B. (-7/17) * (13/34)
C. (-17/7) * (34/13)
D. (-7/17) * (34/13)
D. (-7/17) * (34/13)