Real numbers and Imaginary Numbers Flashcards
These are the numbers you use to determine how many pets you have, how many apples you have bought from the market, or how many petals a flower has.
Natural numbers are used to count objects.
these numbers start with 1, followed by 2, then 3, and so on. Therefore, the smallest _____ number is 1. Meanwhile, there’s no largest natural number
Natural numbers
0, negative numbers, fractions, and decimals are not _____ numbers since we do not use them to count objects
Natural Numbers
Numbers such as 14, 25, 799, 1212, 100000, and 5612312 are all examples of _____ numbers.
Natural Numbers
______ numbers are counting numbers including 0. In other words, if you include 0 in the set of natural numbers, you will obtain the set of
Whole numbers
Therefore, natural numbers are part of the set of
Whole numbers
Is 510 a whole number or a natural number?
510 is a natural number since we use it for counting. Since all natural numbers are also whole numbers, then 510 is both a natural number and a whole number.
This means that all natural numbers are also _____ numbers
whole numbers
all whole numbers are also _____ numbers except for 0 since 0 is not a ______ number
natural numbers
these are positive and negative whole numbers including 0. Examples are 1, 0, -1, 500, -500, 2200, -3800, and so on.
Integers
If you combine the set of all whole numbers and the set of all negative whole numbers, you now have the set of
integers
set of natural numbers and the set of whole numbers are just subsets or parts of the set of
integers
Any number that can be expressed as a ratio of two integers is a
rational number
a number is a ______- if there are two integers such that when the first integer is divided by the second integer, the result is the original number
rational numbers
Suppose the number 18. Can you think of two integers such that when you divide the first integer by the second integer, the result is 18?
36 and 2 are integers. Note that 36 ÷ 2 = 18. Since there are two integers such that when you divide the first integer (36) by the second integer (2) the result is 18, then 18 is a rational number.
these number is also a number that can be written as a fraction with integers. For example, 75 is a rational number since you can express it as 150⁄2, where 150 and 2 are both integers.
rational number
this number is any number that you can express in the form p⁄q such that p and q are both integers and q is not equal to 0
rational number
decimals that have an end (positive or negative)
terminating
(never-ending) repeating decimals (positive or negative) are rational
non-terminating
he “three-dot” symbol that is used on some decimals is called an
ellipsis
A number that is not a rational number is an
irrational numbers
this umber cannot be expressed as a fraction with integers.
irrational numbers
Examples of irrational numbers are the non-terminating non-repeating decimals such as
0.321315325453…Using this example, you cannot provide two integers such that when you divide the first integer by the second integer, the result will be 0.321315325453…
if you combine the set of rational numbers and the set of irrational numbers, the resulting set is the set of
real numbers
this numbers are the combination of rational and irrational numbers. -1, 0, 0.12093020…, and -½ are examples of
real numbers
It is clearly seen that the set of the rational numbers and the set of irrational numbers are subsets of the set of
real numbers
It is clearly seen that the set of the rational numbers and the set of irrational numbers are subsets of the set of
real numbers
a visual representation of the set of real numbers
number line
this number is the square root of a negative number
imaginary number
they cannot be located in the real number line
imaginary number
1) What is the smallest whole number?
a) 0
b) 1
c) - 1
d) i
A
2) Which of the following statements is FALSE?
a) Terminating decimals are rational numbers
b) Negative Whole numbers are rational numbers
c) Non-terminating and non-repeating decimals are irrational numbers
d) Negative integers are irrational numbers
D
3) Which of the following explains why - 9 is an integer but not a natural number?
a) - 9 is a negative number which qualifies it as an integer. However, negative numbers are not
considered natural numbers because they are considerably low.
b) - 9 is a negative number which qualifies it as an integer. However, negative numbers are not
considered natural numbers because they are also rational numbers.
c) - 9 is a negative number which qualifies it as an integer. However, negative numbers are not
considered natural numbers because negative numbers are not used for counting objects.
d) None of the above
C
4) Which of the following statements is TRUE?
a) - 920 is larger than - 810
b) - 750 is larger than - 400
c) 50 is larger than 100
d) 0 is larger than - 500
D
5) Which of the following is the Imaginary unit?
a) i
b) ∑
c) π
A
