types of real numbers (and definitions)

Question 1

real numbers

Answer 1

basically any and every number that exists

Symbol is R

Question 2

irrational numbers

Answer 2

numbers that are non-terminating or recurring decimals

e.g. pi, 2pi, pi/15, square root of 2,3,5,8

Question 3

rational numbers

Answer 3

numbers that are terminating or recurring decimals
(numbers that can be written as a fraction or ratio)
Symbol is Q
e.g. 1.58392, 2.33333….

Question 4

non-integer rational numbers

Answer 4

terminating decimals (decimals that end e.g. 2.35) and recurring decimals (decimals that repeat e.g. 1.745745745…)

Question 5

terminating decimals

Answer 5

decimals that end

e.g. 2.35403

Question 6

recurring decimals

Answer 6

decimals that repeat

e.g. 2.33333, 1.365365365

Question 7

integers

Answer 7

basically numbers that are not a fraction or decimal (includes 0 and 1)
Symbol is Z

Question 8

negative integers

Answer 8

numbers that are negative and do not have fractions and decimals

Question 9

whole numbers

Answer 9

positive integers including 0

Question 10

positive integers

Answer 10

made up of prime numbers and composite numbers as well as 1

Question 11

prime numbers

Answer 11

a number that is divisible only by 1 and itself

it is made up of odd primes and 2

prime factors from 1-100:

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

Question 12

composite numbers

Answer 12

it is a positive integer that has at least one divisor other than 1 and itself

Question 13

natural numbers

Answer 13

numbers used for counting and ordering.
stars from 1
e.g. 1,2,3,4,5,6…

Question 14

how to divide decimals?

Answer 14

make the denominator a whole number then divide (top also but bottom is priority)

Question 15

how to multiply decimals?

Answer 15

• multiply normally (w/o decimal point)
• add up the number of decimal places of the numbers
• place decimal point after total number of decimal places