Natural
Which best describes Natural Numbers?
a) numbers that we first learned as babies
b) numbers that occur in nature
c) positive and negative numbers
a) numbers that we first learned as babies
Which number would you find in the Whole Numbers subset?
0 1 2 100
All of them
What best describes the Integers subset?
a) Any number that can be placed on a number line
b) All Whole Numbers and their negative opposites
c) All negative numbers
b) All Whole Numbers and their negative opposites
Which best describes the Rational Numbers subset?
a) Any positive or negative number that can be written as a fraction
b) Numbers that contain non-terminating decimals
c) Numbers that cannot be placed on a Number line
a) Any positive or negative number that can be written as a fraction
What best describes Irrational Numbers
a) Numbers that cannot be put into a calculator
b) Numbers that cannot be written as a fraction
c) Numbers that have Non-Terminating Decimals
b) Numbers that cannot be written as a fraction
True or False:
Natural Numbers is the smallest subset that exists
True
Which best describes Whole Numbers?
a) All Whole Numbers and their negative opposites
b) Numbers that cannot be written as a fraction
c) Counting Numbers and zero
c) Counting Numbers and zero
True or False:
-3.3 could be found in the Integers subset
False because -3.3 contains a decimal
Define "Non-Terminating Decimal"
A decimal that goes on forever and doesn't stop
Which of the following would you find in the Irrational Numbers subset?
√13 0.3636363... 0 -√1
√13
Which description applies to ALL numbers that would you find in the Natural Numbers subset:
a) positive whole numbers
b) numbers that can be written as a fraction
c) numbers that have repeating decimals
a) positive whole numbers
Which of the following would you NOT find in the Whole Numbers subset?
12 -45 √100
-45
Which number would you NOT find in the Integers subset?
0 -5 -1/2 -√169
-1/2 because it contains a decimal
Why is -√5 NOT a Rational Number
a) because you cannot apply a negative to a number inside of a square root sign
b) because it contains a Non-Terminating Decimal that does not repeat
c) because it is a negative number that is not a Perfect Square
b) because it contains a Non-Terminating Decimal that does not repeat
True of False: The Square Root of all Prime Numbers will always be Irrational
True, so anytime you see any of these numbers inside of a Square Root sign, they will always be Irrational
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
Counting Numbers
True or False:
30/3 can be found in the Whole Numbers subset
True, because 30/3 simplified is 10
Which subsets are also a part of Integers
Natural Numbers
Whole Numbers
Rational Numbers
Irrational Numbers
Natural Numbers & Whole Numbers
a) 0.333333333...
b) 9.979979997...
c) 0.676767676...
b) 9.979979997...
Which is the most famous of all Irrational Numbers?
Pi
What is the difference between Natural Numbers and Whole Numbers
Whole Numbers also includes zero
What is the next largest subset after Whole Numbers?
Integers
Explain why -6/2 could be in the Integers subset even though it is a fraction
because -6/2 simplified is -3 which is an Integer
True or False:
Pi is a Rational Number
False because it is a Non-Terminating and Non-Repeating decimal
True or False:
Irrational Numbers are still consider to be Real Numbers
True