28 terms

7 GR Chapter 2 Integer Operations

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Integers
The numbers consisting of the negative integers, zero, and the positive integers.
Absolute value
The absolute value of a number a is the distance between a and 0 on a number line. The absolute value of a is written as |a|.
Opposites
Two numbers that are the same distance from 0 but on opposite sides of 0.
Additive identity
The number 0 is the additive identity because the sum of any number and 0 is the original number.
Additive inverse
The additive inverse of a number a is the opposite of the number, or -a. The sum of a number and its additive inverse is 0.
Sum
The answer to an addition problem.
Difference
The answer to a subtraction problem.
Multiplicative identity
The number 1.
Product
The answer to a multiplication problem.
Mean
The sum of the values in a data set divided by the number of values. Also called the average.
Identity Property of Addition
The sum of any addend and 0 is that number.
Identity Property of Multiplication
The product of any factor and 1 is that number.
Inverse Property of Addition
The sum of a number and its additive inverse, or opposite, is 0.
Distributive Property
For all numbers a, b, and c, a(b+c)= ab+bc and a(b-c)= ab-ac.
Terms of an expression
The parts of an expression that are added together or subtracted from.
Like terms
Terms that have identical variable parts raised to the same power. Two or more constants are also considered like terms.
Coefficient
The number part of a term that included a variable.
Constant term
A term that has a number but no variable.
Coordinate plane
A coordinate system formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.
x-axis
The horizontal number line in a coordinate plane.
y-axis
The vertical number line in a coordinate plane.
Origin
The point (0,0) where the x-axis and the y-axis meet in a coordinate plane.
Quadrant
One of the four regions that a coordinate plane is divided into by the x-axis and the y-axis. They are numbered counter clockwise starting in the top right hand quadrant I, II, III, IV (1-4 in Roman numerals).
Ordered pair
A pair of numbers (x,y) that can be used to represent a point in a coordinate plane. The first number is the x-coordinate and the second number is the y-coordinate.
x-coordinate
The first term in a coordinate pair.
y-coordinate
The second term in a coordinate pair.
Negative integers
Integers less than 0.
Positive integers
Integers greater than 0.
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