Module 1: Basic numeracy and calculation skills Flashcards
Composite number
A number with more factors than just one and itself
data
a set of qualitative or quantitative variables; pieces of data are individual pieces of information
square root
a number that produces a specified number when it is multiplied by itself
commutative
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
expressions
a string of terms that are connected by division, addition, and subtraction operations
sum
The result of multiple numbers being added together.
positive number
A number whose value is greater than zero. On the number line, positive numbers are to the right of zero.
associative property
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.
superscript
A symbol (such as a number or letter) written above and immediately to the left or right of another character.
factor
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.
interval
A set of numbers between two specified values.
negative number
A number whose value is less than zero. On the number line, negative numbers are to the left of zero.
multiplicative inverse
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.
parentheses
In mathematics, parentheses () are used to separate operations within an expression. Any operations that lie within parentheses should be performed first.
negative square root
The negative square root of a perfect square. For example, -6 is the negative square root of 36.
principal square root
The positive square root of a number. For example, the principal square root of 36 is 6.
multiplication
In mathematics, multiplication is the act of adding the same number multiple times. Multiplication is often denoted by the dot sign, ·.
additive inverse
Two numbers equidistant from 0 on a number line whose sum is 0. For example, 3 and -3 are additive inverses.
base number
The number multiplied by itself when paired with an exponent. For example, in 8 to the third power, 8 would be the base number.
identity property
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.
discrete
A collection of numbers whose values are distinct, separate, and unconnected.
product
The result of multiplying values.
multi-step expression
An expression or equation with more than two values and two or more operators that requires multiple steps to be solved.
continuous
A collection of numbers whose values are not dividable into distinct units.
operation
In mathematics, an operation is a procedure which generates a new value from one or more operands, or mathematical values.
set
In mathematics: a collection of numbers.
prime number
A number with only two factors: one and itself.
Fundamental Theorem of Arithmetic
A concept which states that any integer greater than 1 is either prime or is the product of a unique set of prime numbers.
greatest common factor (GCF)
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.
real number
Any numbers on the number line. Real numbers include zero, negative and positive integers, fractions, and decimals.
whole number
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.
factor tree
A graphical method used to identify the prime factorization of an integer.
radical sign
The symbol which indicates to take the square root of the number that follows.
exponents
Sometimes called a power, it is a quantity that represents repeated multiplication.
integer
A number, (positive, negative, or zero), that can be represented without a fractional or a decimal component.
perfect square
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.
prime factorization
Determining the set of prime numbers whose product is the original integer.
rational number
A rational number is a number that can be written as a ratio of integers, which means it can be written as a fraction.
factorization
The process of determining the prime factors of a composite number.
order of operations
A set of rules that defines the order in which mathematical operations should be performed
PEMDAS
A set of rules that defines the order in which mathematical operations should be performed
The number within the radical sign whose square root is to be taken.