## Rational Explorations: Numbers and their Opposites

HERE you will find the link to the Georgia Department of Education regarding

__RATIONAL EXPLORATIONS: NUMBERS AND THEIR OPPOSITES.__## VOCABULARY

__Absolute value__The distance between a number and zero on the number line. The symbol for absolute value is shown in the equation |−8|=8.

__Coordinates__An ordered pair, (𝑥,𝑦),that locates a point in a plane.

__Inequality__Any mathematical sentence that contains the symbols > (greater than), < (less than), < (less than or equal to), or > (greater than or equal to).

__Integers__The set of whole numbers and their opposites {…−3,−2,−1,0,1,2,3,…}

__Negative numbers__The set of numbers less than zero

*Two different numbers that have the same absolute value. Example: 4 and−4 are opposite numbers because both*

__Opposite number__

have an absolute value of 4.

__O__

*rdered Pair*A pair of numbers, (𝑥,𝑦),that indicate the position of a point on the Cartesian Plane.

__Origin__The point of intersection of the vertical and horizontal axes of a Cartesian plane. The coordinates of the

origin are (0, 0).

__Positive number__The set of numbers greater than zero.

__Rational number__The set of numbers that can be written in the form 𝑎𝑏where a and b are integers and 𝑏≠0.

__Sign__a symbol that indicates whether a number is positive or negative. Example: in −4, the (−) sign hows this

number is read “negative four”.

*The horizontal number line on the Cartesian coordinate plane.*

__X-axis__

__X-coordinate__The first number of in ordered pair; the position of a point relative to the vertical axis

__Y-axis__The vertical number line on the Cartesian coordinate plane

*The second number in an ordered pair; the position of a point relative to the horizontal axis*

__Y-coordinate__