Problem 1
(a) Is zero a natural number? Is zero an integer? Is zero a positive number or a negative number? Is zero an odd number or an even number? (b) Give three examples of each of the following: (1) Integers (2) Rational Numbers (3) Irrational Numbers (4) Natural Numbers (5) Prime Numbers (6) Complex Numbers (c) What is real numbers?
Problem 2
Classify each of the following numbers into as many different sets as possible. Example: real, integer, rational.... (1) 0 (2) 9 (3) \(\sqrt{6}\) (4) \(1 / 2\) (5) \(2 / 3\) (6) \(1.5\)
Problem 4
Use scientific notation to express each number. (a) 4,375 (c) \(0.00012\) (b) 186,000 (d) 4,005
Problem 6
Write \(2 / 7\) as a repeating decimal.
Problem 7
Find the common fraction form of the repeating decimal \(0.4242 \ldots \ldots\)
Problem 8
Find \(0.25 \underline{25}\) as a quotient of integers.
Problem 11
Express (1) \(1.65 \quad\) as a percentage (2) \(0.7\) as a fraction. (3) \(-(10 / 20)\) as a decimal. (4) \(4 / 2 \quad\) as an integer.
Problem 12
Show that the sum of any positive number and its reciprocal cannot be less than 2 .