Module 1: Basic numeracy and calculation skills

Question 1

Composite number

Answer 1

A number with more factors than just one and itself

Question 2

data

Answer 2

a set of qualitative or quantitative variables; pieces of data are individual pieces of information

Question 3

square root

Answer 3

a number that produces a specified number when it is multiplied by itself

Question 4

commutative

Answer 4

The property that the order of the numbers under the operation does not change the result. Addition and multiplication are commutative; a + b=b + a

Question 5

expressions

Answer 5

a string of terms that are connected by division, addition, and subtraction operations

Question 6

sum

Answer 6

The result of multiple numbers being added together.

Question 7

positive number

Answer 7

A number whose value is greater than zero. On the number line, positive numbers are to the right of zero.

Question 8

associative property

Answer 8

The associative property holds that under certain operations in a multi-step expression, the computations may be done in any order. Commonly represented as (a + b) + c = a + (b + c). Addition and multiplication are associative.

Question 9

superscript

Answer 9

A symbol (such as a number or letter) written above and immediately to the left or right of another character.

Question 10

factor

Answer 10

An integer that divides another integer. We say an integer, x, is a factor of another integer, y, if the quotient y/x is also equal to an integer.

Question 11

interval

Answer 11

A set of numbers between two specified values.

Question 12

negative number

Answer 12

A number whose value is less than zero. On the number line, negative numbers are to the left of zero.

Question 13

multiplicative inverse

Answer 13

The multiplicative inverse of a number x is the number you must multiply x by to get 1. For example, 5 and 1/5 are multiplicative inverses.

Question 14

parentheses

Answer 14

In mathematics, parentheses () are used to separate operations within an expression. Any operations that lie within parentheses should be performed first.

Question 15

negative square root

Answer 15

The negative square root of a perfect square. For example, -6 is the negative square root of 36.

Question 16

principal square root

Answer 16

The positive square root of a number. For example, the principal square root of 36 is 6.

Question 17

multiplication

Answer 17

In mathematics, multiplication is the act of adding the same number multiple times. Multiplication is often denoted by the dot sign, ·.

Question 18

additive inverse

Answer 18

Two numbers equidistant from 0 on a number line whose sum is 0. For example, 3 and -3 are additive inverses.

Question 19

base number

Answer 19

The number multiplied by itself when paired with an exponent. For example, in 8 to the third power, 8 would be the base number.

Question 20

identity property

Answer 20

The property that 0 can be added to any number without changing the value of the number. Likewise, 1 can be multiplied by any number without changing the value of that number.

Question 21

discrete

Answer 21

A collection of numbers whose values are distinct, separate, and unconnected.

Question 22

product

Answer 22

The result of multiplying values.

Question 23

multi-step expression

Answer 23

An expression or equation with more than two values and two or more operators that requires multiple steps to be solved.

Question 24

continuous

Answer 24

A collection of numbers whose values are not dividable into distinct units.

Question 25

operation

Answer 25

In mathematics, an operation is a procedure which generates a new value from one or more operands, or mathematical values.

Question 26

set

Answer 26

In mathematics: a collection of numbers.

Question 27

prime number

Answer 27

A number with only two factors: one and itself.

Question 28

Fundamental Theorem of Arithmetic

Answer 28

A concept which states that any integer greater than 1 is either prime or is the product of a unique set of prime numbers.

Question 29

greatest common factor (GCF)

Answer 29

The greatest common factor of any two integers a and b is the greatest number that is both a factor of a and a factor of b.

Question 30

real number

Answer 30

Any numbers on the number line. Real numbers include zero, negative and positive integers, fractions, and decimals.

Question 31

whole number

Answer 31

A number whose value is 0 or greater (negative numbers are not considered whole numbers) and can be represented without a fractional or a decimal component.

Question 32

factor tree

Answer 32

A graphical method used to identify the prime factorization of an integer.

Question 33

radical sign

Answer 33

The symbol which indicates to take the square root of the number that follows.

Question 34

exponents

Answer 34

Sometimes called a power, it is a quantity that represents repeated multiplication.

Question 35

integer

Answer 35

A number, (positive, negative, or zero), that can be represented without a fractional or a decimal component.

Question 36

perfect square

Answer 36

The product of any integer with itself yields a perfect square. So, a number is a perfect square if it can be written as the square of an integer. For example, 9 is a perfect square because 3 * 3 = 9.

Question 37

prime factorization

Answer 37

Determining the set of prime numbers whose product is the original integer.

Question 38

rational number

Answer 38

A rational number is a number that can be written as a ratio of integers, which means it can be written as a fraction.

Question 39

factorization

Answer 39

The process of determining the prime factors of a composite number.

Question 40

order of operations

Answer 40

A set of rules that defines the order in which mathematical operations should be performed PEMDAS

Question 41

A set of rules that defines the order in which mathematical operations should be performed

Answer 41

The number within the radical sign whose square root is to be taken.