Question

Which statement is false?
A. The number zero is rational number.
B. Some irrational numbers are also rational numbers.
C. Every irrational number is a real number.
D. Every integer is a rational number

Answer 1

any ideas?

Answer 2

Im thinking of c. idk maybe d

Answer 3

what are yours?

Answer 4

What is an integer?

Answer 5

A number

Answer 6

what kind of number?

Answer 7

is something like 2.5 an integer?

Answer 8

No

Answer 9

why not?

Answer 10

2.5 is a Rational Number

Answer 11

No wait

Answer 12

yes it is, do you see why?

Answer 13

because it can be written as a fraction

Answer 14

a fraction of what type of number?

Answer 15

Rational Number

Answer 16

a rational number is a fraction of _______ (fill in the blank)

Answer 17

Natural Number?

Answer 18

close, but you can use negative numbers too

Answer 19

so it's actually integers

Answer 20

for instance, 2/3 is a rational number since 2 and 3 are integers

Answer 21

Oh ok sorry im kinda new to this

Answer 22

thats fine

Answer 23

im kinda dumb anyway so

Answer 24

well you just need more practice. You aren't dumb

Answer 25

saying "Every integer is a rational number" is true because we can turn an integer like 7 into 7/1

or an integer like 22 into 22/1

etc etc

Answer 26

they want to know which statement is false, so we can cross off choice D

Answer 27

oh

Answer 28

i have another question.

Answer 29

whats that

Answer 30

Which of these numbers can be classified as both real and irrational?
A. 5.85
B. 63.4
C. Square root of 21
D. Square root of 36

Answer 31

well you didn't finish with the last question

Answer 32

but anything irrational is something that CANNOT be written as a fraction of integers

Answer 33

so it's the complete opposite of something like 2/3

Answer 34

oh wait i think i have it. isnt it B. 63.4

Answer 35

Rule: all terminal decimals can be written as a fraction

ex: 2.5 = 25/10 = 5/2

Answer 36

fraction of two integers I meant

Answer 37

so all terminal decimal numbers are rational

Answer 38

Another Rule: repeating decimal numbers are also rational

There has to be a clear pattern repeating forever

Answer 39

example: 2/11 = 0.181818181818181818...

notice how the "18"s repeat forever