State the factors of the following:
21= factors?, 36= factors?
21: 1,3,7,21
36: 1,2,3,4,6,9,12,18,36
100
Identify the following numbers as rational or irrational:
0.8= rational?irrational?, -0.111111.....= rational?irrational?
0.8: rational
-0.111111..... : irrational
100
True or False?
Integers are only positive whole numbers
False
100
What is the index of sqrt (25)?
2
200
How many factors does a composite number have?
More than two, but not infinite
200
Determine the number of factors of the given numbers:
25=# of factors, 40=# of factors
25:3
40: 8
200
Order the following numbers from smallest to biggest:
sqrt (36), sqrt (45), - sqrt (27), 2/5, - 5/2
- sqrt (27)
- 5/2
2/5
sqrt (36)
sqrt (45)
200
Classify all the number sets from biggest to smallest
Real Numbers
Rational/Irrational Numbers
Integers
Whole Numbers
Natural Numbers
200
What is the radicand in cubrt (64)?
64
300
What is a rational number?
A whole number that repeats or terminates and that can be converted into a fraction
300
What is the GCF of 126 and 189?
63
300
Convert to a fraction in simplest form:
0.2222222......
2/9
300
Write the sets of numbers to which the numbers belong:
pi, -8
pi: Real Numbers
Irrational Numbers
-8: Real Numbers
Rational Numbers
Integers
300
Convert to mixed radical in simplest form:
sqrt (1250)
25sqrt(2)
400
What is a greatest common factor?
The largest whole number which divides exactly into each of the numbers given
400
What is the lowest common multiple of 3,14,70 and 150?
1050
400
Convert to a fraction in simplest form:
0.9888888.......
89/90
400
Explain why 8 belongs to more number sets than -7/2
8 belongs to real numbers, rational numbers, integers, whole numbers and natural numbers. -7/2 belongs to real numbers and rational numbers. Therefore, 8 belongs to 5 number sets and -7/2 belongs to only 2.
400
Convert to entire radical form:
1/3sqrt(27)
sqrt(3)
500
What three things make up the radical?
The index, the radicand and the radical sign
500
Boxes that are 12 inches tall are being stacked next to boxes that are 18 inches tall. What is the shortest height at which the two stacks will be the same height?
36
500
True or False? IF false, correct the statement to make it true.
Only decimal numbers which terminate can be converted to fraction form.
FALSE
Decimal numbers which terminate and repeat can be converted into fraction form
500
Without using a calculator, estimate the value for sqrt (50) and explain how you estimated
Estimation should be around 7.0x because it is between the perfect squares 49 and 64 and it is closer to 49.
500
Convert to mixed radical in simplest form:
-2cubrt(625)