Rational Numbers Review
Numbers that are expressed as a fraction consisting of two integers (p/q) are...
Rational Numbers!
Is 7/8 < or > 0.90?
7/8 < 0.90
What are 3 examples of where rational numbers can pop up in the real world?
Almost anywhere!!!
Acceptable answers:
Temperature, Sports, Money, Shopping, Food etc.
When discussing rational numbers, the denominator cannot equal...
Zero(0)!
Is 0.25 < or > 1/3?
0.25 is < 1/3.
In the last five games, Zach made 8/13 of his free throws. Alex made 4/7 of his free throws. Who had the best free throw record?
Zach had a better free throw record!
8/13= 0.615
4/7= 0.571
Is 5 a rational number? and why?
5 is a rational number and can be expressed in the fraction form of the integers (5/1).
Is -2/3 < or > -4/5? why?
-2/3 is > -4/5. It is closer to the zero on a number line, therefore it holds greater value.
Highland Falls' football team won 58/73 of their games last season. Cornwall won 60/81 of their football games. Which team had a better season overall? What is the decimal equivalent of each teams winning record?
Highland Falls had the better season!
Highland Falls:58/73=0.79
Cornwall:60/81=0.74
What is the term for whole numbers, anywhere from 0 to positive and negative infinity?
Integers!
Order the following from least to greatest:
0.25 , 2/3 , 1/2 , -3/4
The numbers from least to greatest are:
-3/4 , 0.25 , 1/2 , 2/3.
This is because:
-3/4 is the only negative so it holds the lowest value.
0.25 is less than 1/2 which in decimal form is 0.5
1/2 (0.5) is less than 2/3 which in decimal form is 0.6666....
Max weighed 144.4 pounds during the first month of his diet and 128.9 pounds during the second month of his diet. He weighed less during the second month, than he did the first month. Write an inequality to represent the real life context rational numbers.
128.9 < 144.4
...because it is specifically asking for the comparison of the second month being less than the first month.
Is Pi(π) a rational number? and why?
No, Pi is not a rational number. There is no fraction that can equal Pi exactly.
Stacey has 1/3 of an apple pie and Katie has 4/5 of an apple pie. Who has the greatest amount of apple pie? And why?
Katie has the greatest amount of pie. This is because if Stacey has 1/3 of a pie, she only has 0.33 or 33% of a pie. Katie has 4/5 of a pie which is 0.8 or 80% of a pie.
Which statement best describes the order of numbers: -20.5 > -40 > -40.1
a. A hiker at an altitude of 20.5ft is higher than a hiker at 40ft who is higher than a hiker at 40.1ft.
b. A mole digging 20.5cm underground is lower than a mole at 40cm underground which is lower than a mole at 40.1cm underground
c. A scuba diver swimming 20.5ft below the surface is lower than someone swimming at 40ft below who is lower than someone who is swimming 40.1 feet below.
d. A submarine that is 20.5m below the surface is higher than one at 40m below which is higher than one at 40.1m below.
D is correct!
It would not be a because altitude 20.5ft altitude is less than both 40ft and 40.1ft
It would not be b because the mole is digging therefore underground numbers represent negatives. 20.5cm would be higher than 40 and 40.1 not lower.
It would not be c because the diver is swimming below sea level meaning the values represent negative numbers. The same results as b.
D is correct because the submarine is undersea level and being at 20.5m would be higher, more positive and greater than a position at 40 and 40.1 m