Ch. 8- Number Properties

Question 1

Real Number

Answer 1

Any number that can be the coordinates of a point in a number line- e.g. 3, -4, 2.3, square root of 2, 5/7

Question 2

Counting Numbers (Natural Numbers)

Answer 2

1,2,3,4,5…etc.

• All counting numbers are evenly spaced on the number line
• Each is one more than the previous number, except 1, which is the smallest counting number

Question 3

Whole Numbers

Answer 3

The counting numbers including 0

Question 4

Integers

Answer 4

The counting numbers, zero, and the negatives of counting numbers (-1,-2,-3, 0, 1, 2, 3)

Question 5

Rational Numbers

Answer 5

All numbers that can be written as the ratio of two integers a and b, when b is not 0.

Example: 2/3, -1/4, 6/5

*rational numbers yield finite or terminating decimals and infinite repeating decimals

Question 6

Irrational Numbers

Answer 6

Real numbers that are not rational.

Example: square roots, pi, and Euler’s number

*they are finite, non-repeating decimals

Question 7

Odd + Even=

Answer 7

Odd

Question 8

Even + Odd =

Answer 8

Odd

Question 9

Odd- Even=

Answer 9

Odd

Question 10

Even- Odd=

Answer 10

Odd

Question 11

Odd x Even=

Answer 11

Even

Question 12

Even x Odd =

Answer 12

Even

Question 13

Least Common Multiple

Answer 13

Smallest possible number that is a multiple of each of the numbers

Ex. Find LCM of 6 and 10: 6: 6, 12, 16, 24, 30, 36…
10: 10, 20, 30, 40…

LCM of 6 and 10= 30

Question 14

Prime Number

Answer 14

A counting number greater than 1 such that its only counting number divisors are 1 and itself

Question 15

Composite number

Answer 15

A counting number greater than 1 such that it has at least three divisors

Question 16

Prime Factorization

Answer 16

A set of prime numbers such that the product of these prime factors will yield the given number

Ex. Prime factorization of 6 is 6= 2x3
8= 2x2x2 or 8=2^3