Question

Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)

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

for the first part, a finite decimal like 5.3 should work since it can be expressed as the quotient of two real numbers

Answer 2

for part B, try to find a number that gives you a number between 5.2 and 5.3 when you take its square root

Answer 3

5.5?

Answer 4

nope

Answer 5

5.4

Answer 6

the square root of 5.5 is NOT between 5.2 and 5.3

keep trying.

Answer 7

Obviously math is my worst subject! lol

Answer 8

here's a hint:

5.2^2 = ?
5.5^2 = ?

Answer 9

do you mean "Not between 5.2 and 5.5?

Answer 10

5.3? This is so confusing

Answer 11

again,

5.2^2 = ?
5.5^2 = ?

Answer 12

5.2^2 =5.4?
5.5^2 = 5.8?

Answer 13

^ means exponent

Answer 14

ughhhhhhhhhhhhhhhhhh!

Answer 15

5.2^2 = 5.2 * 5.2 = ?
5.5^2 = 5.5 * 5.5 = ?

Answer 16

27.04
30.25

Answer 17

good

so we can pick a number between those two (let's pick 29)

so the square root of 29 is a possible answer for part B (this equals 5.39 rounded as your answer)