Natural
Which best describes natural numbers?
a) the basic counting numbers we learn first
b) numbers that occur in nature
c) positive and negative numbers
a) the basic counting numbers we learn first
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 the set of whole numbers?
a) All natural 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 can be classified as an integer.
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 can be classified as an irrational number?
√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 NOT be classified as an integer?
0 -5 -1/2 -√169
-1/2 because it is a fraction.
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
The natural numbers subset is also referred to as what?
Counting Numbers
True or False:
30/3 can be classified as a whole number.
True, because 30/3 simplified is 10.
Which subsets are also a part of the integer subset?
Natural Numbers
Whole Numbers
Rational Numbers
Irrational Numbers
Natural Numbers & Whole Numbers
Which of the following is an example of a "non-repeating" decimal?
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?
The set of whole numbers also includes zero.
What is the next largest subset after whole numbers?
Integers
Explain why -6/2 can be classified as an integer even though it is a fraction.
-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 can also be classified as real numbers.
True