Opposites are two numbers that are the same distance from 0 on a number line, but in opposite directions.
Integers are the set of positive whole numbers, their opposites, and 0.
The whole numbers consist of the number 0 and all of the natural numbers.
Positive numbers are numbers greater than zero.
Negative numbers are numbers less than zero.
A rational number is a number that can be written in the form 𝘢𝘣 or −(𝘢𝘣), where a is a whole number and b is a positive whole number. The rational numbers include the integers.
The greater-than symbol shows a comparison of two numbers with the number of greater value shown first, or on the left.
The less-than symbol shows a comparison of two numbers with the number of lesser value shown first, or on the left.
An inequality is a mathematical sentence that uses <, ≤, >, ≥, or ≠ to compare two quantities.
The absolute value of a number a is the distance between a and zero on a number line. The absolute value of a is written as ||𝘢||.
A coordinate plane is formed by a horizontal number line called the x-axis and a vertical number line called the y-axis.
The x- and y-axes divide the coordinate plane into four regions called quadrants.
An ordered pair identifies the location of a point in the coordinate plane. The x-coordinate shows a point's position left or right of the y-axis. The y-coordinate shows a point's position up or down from the x-axis.
The x-coordinate is the first number in an ordered pair. It tells the number of horizontal units a point is from 0.
The y-coordinate is the second number in an ordered pair. It tells the number of vertical units a point is from 0.