Real numbers and Imaginary Numbers

Question 1

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.

Answer 1

Natural numbers are used to count objects.

Question 2

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

Answer 2

Natural numbers

Question 3

0, negative numbers, fractions, and decimals are not _____ numbers since we do not use them to count objects

Answer 3

Natural Numbers

Question 4

Numbers such as 14, 25, 799, 1212, 100000, and 5612312 are all examples of _____ numbers.

Answer 4

Natural Numbers

Question 5

______ 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

Answer 5

Whole numbers

Question 6

Therefore, natural numbers are part of the set of

Answer 6

Whole numbers

Question 7

Is 510 a whole number or a natural number?

Answer 7

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.

Question 8

This means that all natural numbers are also _____ numbers

Answer 8

whole numbers

Question 9

all whole numbers are also _____ numbers except for 0 since 0 is not a ______ number

Answer 9

natural numbers

Question 10

these are positive and negative whole numbers including 0. Examples are 1, 0, -1, 500, -500, 2200, -3800, and so on.

Answer 10

Integers

Question 11

If you combine the set of all whole numbers and the set of all negative whole numbers, you now have the set of

Answer 11

integers

Question 12

set of natural numbers and the set of whole numbers are just subsets or parts of the set of

Answer 12

integers

Question 13

Any number that can be expressed as a ratio of two integers is a

Answer 13

rational number

Question 14

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

Answer 14

rational numbers

Question 15

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?

Answer 15

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.

Question 16

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.

Answer 16

rational number

Question 17

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

Answer 17

rational number

Question 18

decimals that have an end (positive or negative)

Answer 18

terminating

Question 19

(never-ending) repeating decimals (positive or negative) are rational

Answer 19

non-terminating

Question 20

he “three-dot” symbol that is used on some decimals is called an

Answer 20

ellipsis

Question 21

A number that is not a rational number is an

Answer 21

irrational numbers

Question 22

this umber cannot be expressed as a fraction with integers.

Answer 22

irrational numbers

Question 23

Examples of irrational numbers are the non-terminating non-repeating decimals such as

Answer 23

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…

Question 24

if you combine the set of rational numbers and the set of irrational numbers, the resulting set is the set of

Answer 24

real numbers

Question 25

this numbers are the combination of rational and irrational numbers. -1, 0, 0.12093020…, and -½ are examples of

Answer 25

real numbers

Question 26

It is clearly seen that the set of the rational numbers and the set of irrational numbers are subsets of the set of

Answer 26

real numbers

Question 27

It is clearly seen that the set of the rational numbers and the set of irrational numbers are subsets of the set of

Answer 27

real numbers

Question 28

a visual representation of the set of real numbers

Answer 28

number line

Question 29

this number is the square root of a negative number

Answer 29

imaginary number

Question 30

they cannot be located in the real number line

Answer 30

imaginary number

Question 31

1) What is the smallest whole number?
a) 0
b) 1
c) - 1
d) i

Answer 31

A

Question 32

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

Answer 32

D

Question 33

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

Answer 33

C

Question 34

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

Answer 34

D

Question 35

5) Which of the following is the Imaginary unit?
a) i
b) ∑
c) π

Answer 35

A