Question

Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational.

Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.

Answer 1

what two decimals are between those two?

Answer 2

5.3 and 5.4

Answer 3

are those rational?

Answer 4

yes

Answer 5

yes that is correct

Answer 6

so whats the answer for part A?

Answer 7

you can pick either one of the numbers you said

Answer 8

ok ill pick 5.4 and can you explain to me why it is rational

Answer 9

make sure to put in your own words - A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

Answer 10

ok but thats like from google i want to understand it in your words so its easier for me because that definiton is just too difficult

Answer 11

i want to understand it in your words

Answer 12

so it either has to be a whole number like 3 or 4 or 56 - or a whole number in both the numerator and denominator

Answer 13

is this a good answer for part A? A rational number between 5.2 and 5.5 is 5.4. 5.4 is rational because a rational number has a decimal representation that terminates or that repeats in a pattern.

Answer 14

@rebeccaxhawaii

Answer 15

?? :)

Answer 16

not exactly

Answer 17

can you fix it for me then please? :)

Answer 18

5.4 could be written as a mixed number of 54/10. 54 and 10 are both whole numbers making 5.4 a rational number.

Answer 19

ok!

Answer 20

thx :)now can we move on to part b

Answer 21

post part b in a new thread this one is filled i would have to keep scrolling

Answer 22

ok :)