Definitions
Define:
terminating decimal
A decimal that ends/stops.
Estimate and find the exact answer. Simplify if possible.
5/6+5/9
Estimate: 2
Exact Answer:
1 7/18
Estimate and then find the exact answer.
−1.6 + (−2.4)
Estimate: −4
Exact Answer: −4
Your bank account balance is $25.83. You withdraw $17.50. What is your new balance?
$8.33
Zero divided by any number is undefined. True or false? Give an example.
False. Example:
0/8 = 0
Define:
repeating decimal
A decimal that has a pattern that repeats.
Estimate and find the exact answer. Simplify if possible.
3 3/4-7/8
Estimate: 3
Exact Answer:
2 7/8
Estimate and then find the exact answer.
3.8 −7.45
Estimate: −3
Exact Answer: −3.65
The elevation of a sunken ship is −120 feet. Your elevation is ⅝ of the ship’s elevation. What is your elevation?
−75 feet
The product of 5 negative numbers is always negative. True or false? Give an example.
True. Example:
Define:
integers
The set of whole numbers and their opposites.
Estimate and find the exact answer. Simplify if possible.
8/15(-2/3)
Estimate: -1
Exact Answer:
-16/45
Estimate and then find the exact answer.
4.5(−5.26)
Estimate: −25
Exact Answer: −23.67
How many 2.25-pound containers can you make with 24.75 pounds of almonds?
11 containers
The difference of two positive numbers is always positive. True or false? Give an example.
False. Example:
1-9=-8
Define:
rational number
A number that can be written as a/b where a and b are both integers ≠ 0.
Estimate and find the exact answer. Simplify if possible.
-1 5/6 -:4 1/6
Estimate:
-1/2
Exact Answer:
-11/25
Estimate and then find the exact answer.
−15.4 ÷ (−2.5)
Estimate: 5
Exact Answer: 6.16
A turtle is 20 ⅚ inches below the surface of a pond. It dives to a depth of 32 ¼ inches. What is the distance it traveled?
11 5/12 inches
The sum of four negative numbers is always positive. True or false? Give an example.
False. Example:
-2+ -3+ -4 + -5=-14
Define:
mean
The sum of all the values in a set divided by the number of values.
Evaluate. Simplify if possible.
-1/15+2/5(-9/10)-:1/4
-1 38/75
Evaluate.
−1 − 2.4 ÷ (−1.2) × (−2)
−5
The rainfall (in inches) for three months compared to the yearly average was: −0.86, 2.56, and -1.24. Is the total rainfall for the three-month period greater than or less than the yearly average? Explain.
The total for the three months is 0.46 inch. Since this value is positive, then the total rainfall for the three-month period is GREATER than the yearly average.
The difference of two negative numbers is always negative. True or false? Give an example.
False. Example:
-2 - (-10)=8