Identifying Real Numbers

Which of the following numbers is irrational?

• a) 1⁄2
• b) -12
• c) 14.4
• d)√2

Which of the following numbers is rational?

• a) π
• b) 2.456478489...
• c) 0.3̅
• d) √2

Change the following fraction into a decimal:
3⁄4

• a) 0.7̅
• b) 0.75
• c) 0.34
  c) 0.34
• d) 3.4

Compare the following numbers:
 2⁄3      0.7

• a) <
• b) >
• c) =

Put the following numbers in order from LEAST to GREATEST:
¾,  0.45,  ⅚,  0.9

• a) ¾,  0.45,  ⅚,  0.9
• b) 0.45, ¾, ⅚, 0.9
• c) ⅚, ¾, 0.45, 0.9
• d) 0.45, 0.9, ¾, ⅚

Which of the following numbers is a rational number, whole number, and an integer?

• a) -7.9
• b) -⅞
• c) 92
• d) 3.098

Which of the following numbers is a rational number and an integer?

• a) -3.75
• b) -⅔
• c) -4
• d) 19

-68 is an irrational number.

• a) True
• b) False

-4.4 is an integer.

• a) True
• b) False

How would you categorize the following number?
1⁄15

• a) rational, terminating
• b) irrational, non-terminating
• c) rational, repeating
• d) rational, non-terminating