The Real Number System
True or False: The decimal for a rational number never ends and never repeats.
False
True or False: The decimal for an irrational number terminates and/or repeats.
False
True or False: When you take the square root of a non-perfect square you always get a rational number.
False
True or False: The value of π can be expresses as 22/7 and is therefore a rational number.
False; 22/7 is an estimate for pi.
What is the smallest set that contains the value -3.5?
Rational
What is the smallest set that contains the value 0.644444?
Rational
What is the smallest set that contains the value 0.6464?
Rational
What is the smallest set that contains the value 2/13?
Rational
What is the smallest set that contains the value √1/√4?
Rational
Name the set(s) 4.6590... belongs to.
Real, Irrational
Name the set(s) √2 belongs to.
Real, Irrational
Name the set(s) √3 belongs to.
Real, Irrational
Name the set(s) √5 belongs to.
Real, Irrational
Name the set(s) (49/7) belongs to.
Real, Rational
True or False: The decimal for a rational number terminates and/or repeats.
True
True or False: The decimal for an irrational number never ends and never repeats.
True
True or False: When you take the square root of a non-perfect square you always get a irrational number.
True
True or False: When you take the square root of a perfect square you always get a natural number.
True
What are the rational numbers?
Any number that can be written as a fraction. Repeating decimals. Terminating decimals (decimals that come to and end).
Name the set(s) -½ belongs to.
Real, Rational
Name the set(s) -¾ belongs to.
Real, Rational
Name the set(s) 0.99 belongs to.
Real, Rational
Name the set(s) 1.222... belongs to.
Real, Rational
Name the set(s) 1.23 belongs to.
Real, Rational
Name the set(s) 4.6590 belongs to.
Real, Rational
Name the set(s) 4.6666.. belongs to.
Real, Rational
Name the set(s) ½ belongs to.
Real, Rational
Name the set(s) ¾ belongs to.
Real, Rational
What is the smallest set that contains the value √2?
Irrational
Name the set(s) √81 belongs to.
Real, Rational, Integer, Whole, Natural
What is the smallest set that contains the value -10/2?
Integer
True or False: -9 is a whole number
False
True or False: -90 is a whole number
False
True or False: -√100 is an irrational number.
False
True or False: -√25 is an irrational number.
False
True or False: -√81 is an irrational number.
False
True or False: 0 is a natural number.
False
True or False: 0 is an irrational number.
False
True or False: All integers are irrational numbers.
False
True or False: All integers are natural numbers.
False
True or False: All integers are whole numbers.
False
True or False: All natural numbers are irrational numbers.
False
True or False: All real numbers are irrational numbers.
False
True or False: All real numbers are rational numbers.
False
True or False: All whole are natural numbers.
False
True or False: All whole numbers are irrational numbers.
False
What is the smallest set that contains the value -1?
Integer
What is the smallest set that contains the value -20?
Integer
What is the smallest set that contains the value -6/3?
Integer
What is the smallest set that contains the value ³√-125?
Integer
What is the smallest set that contains the value ³√-27?
Integer
What is the smallest set that contains the value ³√-8?
Integer
What is the smallest set that contains the value -√3?
Irrational
What is the smallest set that contains the value 1.367...?
Irrational
What is the smallest set that contains the value 1.751...?
Irrational
What is the smallest set that contains the value 6/3?
Natural
What is the smallest set that contains the value ³√27?
Natural
What is the smallest set that contains the value ³√8?
Natural
What is the smallest set that contains the value √121?
Natural
What is the smallest set that contains the value √36/√9?
Natural
What is the smallest set that contains the value √4?
Natural
What is the smallest set that contains the value √64?
Natural
What is the smallest set that contains the value 1?
Natural Number
What is the smallest set that contains the value 20?
Natural Number
What are the irrational numbers?
Non-terminating decimals (decimals that never end). Decimals that have no repeating pattern.
What is the smallest set that contains the value -1.9?
Rational
Name the set(s) (√121/√144) belongs to.
Real, Rational Remember: (√121/√144) = 11/12
Name the set(s) (√36/√49) belongs to.
Real, Rational Remember: (√36/√49) = 6/7
Name the set(s) (√4/√9) belongs to.
Real, Rational Remember: (√4/√9) = 2/3
Name the set(s) 22/7 belongs to.
Real, Rational Remember: 22/7 is an estimate for pi and not actually equal to pi. Any number that can be written as a fraction is Rational.
Name the set(s) 3.14 belongs to.
Real, Rational Remember: 3.14 is an close to pi and not actually equal to pi. Any decimal that terminates is Rational.
Name the set(s) -107 belongs to.
Real, Rational, Integer
Name the set(s) -17 belongs to.
Real, Rational, Integer
Name the set(s) -23 belongs to.
Real, Rational, Integer
Name the set(s) -√121 belongs to.
Real, Rational, Integer
Name the set(s) -√25 belongs to.
Real, Rational, Integer
Name the set(s) -√36 belongs to.
Real, Rational, Integer
Name the set(s) 0 belongs to.
Real, Rational, Integer, Whole
Name the set(s) 1,000 belongs to.
Real, Rational, Integer, Whole, Natural
Name the set(s) 7 belongs to.
Real, Rational, Integer, Whole, Natural
Name the set(s) 80 belongs to.
Real, Rational, Integer, Whole, Natural
Name the set(s) √144 belongs to.
Real, Rational, Integer, Whole, Natural
Name the set(s) √49 belongs to.
Real, Rational, Integer, Whole, Natural
True or False: -√80 is an irrational number.
True
True or False: 0 is a rational number.
True
True or False: 0 is a whole number.
True
True or False: 2/3 is a rational number.
True
True or False: 89 is a whole number
True
True or False: 9 is a whole number
True
True or False: All integers are rational numbers.
True
True or False: All integers are real numbers.
True
True or False: All irrational numbers are real numbers.
True
True or False: All natural numbers are integers.
True
True or False: All natural numbers are rational numbers.
True
True or False: All natural numbers are real numbers.
True
True or False: All natural numbers are whole numbers.
True
True or False: All rational numbers are real numbers.
True
True or False: All whole are integers.
True
True or False: All whole numbers are rational numbers.
True
True or False: All whole numbers are real numbers.
True
True or False: Any number that can be written as a fraction (where the denominator is not 0), is a rational number.
True
True or False: Some decimals are irrational numbers.
True
True or False: Some decimals are rational numbers.
True
True or False: Some real numbers are integers.
True
What is the smallest set that contains the value 0?
Whole number
What are integers?
Whole numbers and their opposites.