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
Opposite number
Two different numbers that have the same absolute value. Example: 4 and−4 are opposite numbers because both
have an absolute value of 4.
Ordered 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”.
X-axis
The horizontal number line on the Cartesian coordinate plane.
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
Y-coordinate
The second number in an ordered pair; the position of a point relative to the horizontal axis
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
Opposite number
Two different numbers that have the same absolute value. Example: 4 and−4 are opposite numbers because both
have an absolute value of 4.
Ordered 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”.
X-axis
The horizontal number line on the Cartesian coordinate plane.
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
Y-coordinate
The second number in an ordered pair; the position of a point relative to the horizontal axis