Question

Select all the statements that are true about 22/7
A) It is a rational number
B)It is an irrational number
C) When written as a decimal, it repeats
D) It is an approximate value of pi
E) It is a terminating decimal

Answer 1

Any ideas Sambo?
Hey that rhymes with Rambo! :D

Answer 2

It has the be either A or B, right?
A number is either rational or not rational.

Answer 3

And what else? Hmmm

Answer 4

Pi is approximately 3.14159265358979
If you enter 22/7 into your calculator you get about 3.142857

Is this value close to pi?
Does it seem like a good approximation value?

Answer 5

yes it does

Answer 6

Ok good so we have one of the answers :) D

Answer 7

yep

Answer 8

The other one is A. It's rational because it is a fraction. Irrational numbers cannot be represented as a fraction. So it's only D and A

Answer 9

but wouldnt it be C as well?

Answer 10

22/7 is 3.142857143 which doesn't repeat. So it cant be C.

Answer 11

alright, thanks

Answer 12

Yes it does repeat
\[
3.1428571428571428571428571428571428571428571428571428571428571428571..
\]

Answer 13

that is
\[

\frac {22}7 =3.142857142857142857142857142857142857142857142857142857142857142857
\]

Answer 14

Actually a number is rational if and only if it is a repeating decimal