Question

Which mathematical symbol would best fill in the blank to compare the two real numbers? (4 points)

square root of 2 blank 1.8 repeating
a
<

b
>

c
=

d
≈

Answer 1

Identify the number that does not belong with the other three. Explain your reasoning. (4 points)

26.6 repeating 6, square root 48, negative 51 over 2, negative 55.1

Answer 2

First problem:

sqrt(2) ___ 1.8888

simply plug in sqrt(2) into a calculator to convert to a decimal, then pick the appropriate sign to compare the decimals

Answer 3

Second problem: three of the numbers are rational. the one that doesn't belong is irrational. try to figure out what the irrational number is. (major hint: non-perfect square roots are always irrational)