Question

Plz i need help asap. Will fan and medal.




Find a rational number and an irrational number that are between 5.2 and 5.5. Include the decimal approximation of the irrational number to the nearest hundredth.

Answer 1

Hint a ration number can be written as a fraction so 5 plus any fraction between 1/5 and 1/2 would be a rational number.

Answer 2

a rational number would be a surd like sqrt20 for example so you need to think af a number between 5.2^2 and 5.5^2 and take the square root of it.

Answer 3

* correction thats an irrational number

Answer 4

can you think of a fraction between 1/5 and 1/2? Or a decimal between 5.2 and 5.5 ( thats the easiest way).

Answer 5

So i can put 5.3 and that would be right?

Answer 6

Yes thats great

Answer 7

But what about the irrational number?

Answer 8

5.2^2 = 27.04
5.5^2 = 30.25

- pick any whole number between these 2 which is not a perfect square

Answer 9

27.04

Answer 10

then would i just keep repeating the 04

Answer 11

no a whole number between this and 30.25

Answer 12

so 29

Answer 13

yea thats fine because its not a square number
so the irratuional number we want is sqrt 29
If you grab your calculatopr you'll see that will have a value of just below 5.5

Answer 14

and have a dumb question what the decimal approximation

Answer 15

5.385164807

Answer 16

whats*

Answer 17

ok so for the rational number the answer is 5.3 and the answer for the irrational number is 29?

Answer 18

well you cant write an irrational number accurately as a decimal - the numbers go on infinitely. Most calculators e you up to 8 decimal places.

Answer 19

so then whats the answer?

Answer 20

they want it to nearest hundredth Thats the second place of decimals
5.385164807 to nnearesrt hundredth is 5.39

29 is not the answer The answer is sqrt 29 and 5.39 is an approximation of sqrt 29.

Answer 21

do you follow the reasoning ok?

Answer 22

- remember tha 2 numbers had to be beween 5.2 and 5.5.

Answer 23

ok so is that the answer for rational or irrational?

Answer 24

rational is 5.3 and irrational is sqrt29 or 5.39 to nearest hundredth

Answer 25

ok rational is 5.3 and irrational is \[\sqrt{5.39}\]

Answer 26

no irrational is \[\sqrt{29}\]

Answer 27

ok i got it know

Answer 28

but they required a decimal approximation of the irrational number
- that is 5.39

Answer 29

so i would just put 5.39

Answer 30

so ther are 3 answers
5.3 , sqrt 29 and 5.39

Answer 31

but the one i need to put is 5.39

Answer 32

the first part of the question wanted a rational and irrational number between 5.2 and 5.5.
The answer to that is 5.3 and \[\sqrt{29}\]

Answer 33

The last part wanted the irational number as a decimal to nearest hundedrth
that answer to that part is 5.39.

Answer 34

ok??