Week 1

Question 1

Natural numbers

Answer 1

{ 1, 2, 3, … }, also called counting numbers

Question 2

Whole numbers

Answer 2

{ 0, 1, 2, 3, … }, set of natural numbers plus 0

Question 3

Integers

Answer 3

{ …, -3, -2, -1, 0, 1, 2, 3, … }, set of whole numbers plus opposites of natural numbers

Question 4

Rational numbers

Answer 4

Fractions (or quotients) containing integers in both the numerator and the denominator, and the denominator is never 0

Question 5

Irrational numbers

Answer 5

Cannot be written as fractions. A number is irrational if it is not rational.

Question 6

Terminating decimal

Answer 6

A decimal number that ends

Question 7

Repeating decimal

Answer 7

A decimal number that repeats the same pattern over and over

Question 8

Real numbers

Answer 8

All rational and irrational numbers. 3 subsets: negative, 0, and positive

Question 9

Base (re: exponents)

Answer 9

Number that gets multiplied by itself <n> times</n>

Question 10

Exponent

Answer 10

Numbers that tells you how many times to multiply the base by itself

Question 11

Order of operations

Answer 11

PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)

Question 12

Commutative property of addition

Answer 12

Numbers can be added in any order without affecting the sum

Question 13

Commutative property of multiplication

Answer 13

Numbers can be multiplied in any order without affecting the product

Question 14

Associative property of multiplication

Answer 14

Numbers may be grouped differently without affecting the product

Question 15

Associative property of addition

Answer 15

Numbers may be grouped differently without affecting the sum

Question 16

Distributive property

Answer 16

Product of a factor times a sum is the sum of the factor times each term in the sum. a(b+c) = ab + a*c

Question 17

Identity property of addition

Answer 17

Unique number called the additive identity (0) that results in original number when added to a number

Question 18

Identity property of multiplication

Answer 18

Unique number called multiplicative identity (1) that results in original number when multiplied by the number

Question 19

Inverse property of addition

Answer 19

Unique number called the additive inverse (-a) that when added to a, results in 0

Question 20

Inverse property of multiplication

Answer 20

Holds for all real numbers except 0 because reciprocal of 0 is undefined. Unique numbers called the multiplicative inverse (or reciprocal), 1/a, that when multiplied by a, results in 1

Question 21

Constant

Answer 21

Does not change, i.e. 5

Question 22

Variable

Answer 22

Changes, i.e. x

Question 23

Algebraic expression

Answer 23

Collection of constants and variables joined together by algebraic operations of addition, subtraction, multiplication, and division

Question 24

Equation

Answer 24

Mathematical statement indicating that two expressions are equal, not inherently true or false

Question 25

Formula

Answer 25

Equation expressing a relationship between constant and variable quantities