Question

Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational.

Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.

Answer 1

@ijlal

Answer 2

please help :)

Answer 3

Nooooo the decimals questions xD working on it a moment !

Answer 4

ok let me know when your done!

Answer 5

sure

Answer 6

rational number between a and b = (a+b)/2

Answer 7

part A: 9 and two thirds can be represented as 27/3 which is a rational number.

Answer 8

irrational number between a and b = \[\sqrt{a*b}\]

Answer 9

*29/3. oops.

Answer 10

no i think 27/3 is correct.. because when you divide that it gives you nine @greep

Answer 11

@ijlal do you have the answers?

Answer 12

found out a method how to get irrational ones on the internet

Answer 13

(9.5)² = 90.25
now add a decimal to it, like 0.1...
(we're adding because we started from the smaller number)
90.35
√90.35
≈ 9.50526170076...
≈ 9.51

Answer 14

so hold on.. whats the answer for part A

Answer 15

or sqrt92 = 9.59 ~ 9.60

Answer 16

ok.. so whats a rational number between 9.5 and 9.7?

Answer 17

Hold on fresh start here for the first one rational number between 9.5 and 9.7 can be 48/5 that is 9.6

Answer 18

ok and can you explain why 9.6 is rational?

Answer 19

and for the irrational one the perfect squaring and adding 0.1 to it to get the irrational number approximated to the nearest hundreth