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Level 38

Integers & Rational Numbers


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absolute value
The distance of a number from zero on a number line; shown by | |
mixed number
a number made up of a whole number and a fraction
Rational Number
Any number that can be expressed as a ratio of two integers. Example; 6 can be expressed as 6/1, and 0.5 as 1/2.
coordinate plane
A plan formed by the intersection of a horizontal number line called the x-axis and a vertical number line called the y-axis.
opposite
Two numbers that are an equal distance from zero on a number line; also called additive inverse.
Repeating Decimal
A decimal in which one or more digits repeat infinitely. Example: 0.757575...
equivalent fractions
fractions that have the same value
ordered pair
A pair of numbers that can be used to locate a point on a coordinate plane.
Terminating Decimal
A decimal number that ends or terminates. Example: 6.75
improper fraction
a fraction whose numerator is larger than the denominator
origin
The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)
x-axis
The horizontal axis on a coordinate plane.
y-axis
The vertical axis on a coordinate plane.
Integer
The set of whole numbers and their opposites.
quadrant
the x- and y-axes divide the coordinate plan into four regions. each region is called a ________________.
Bar Notation
In repeating decimals, the line or bar placed over the digits that repeat.
Irrational Number
A number that cannot be written as a fraction with a numerator and a denominator that are integers. The decimal representation of a rational number either ends or repeats.
multiplicative inverse
reciprocal of a number
reciprocal
One of two numbers whose product is 1; it is also called multiplicative inverse.
Unlike Fractions
fractions with different denominators
like fractions
fractions with the same denominator
additive inverse
the opposite of a number
algebraic expression
An expression consisting of one or more numbers and variables along with one or more arithmetic operations
coordinate
The number that corresponds to a point on a number line
counterexample
An example that proves a conjecture false
Conjecture
An educated guess
Equation
A mathematical sentence that contains an equals sign
Evaluate
To find the value of a mathematical expression.
inequality
A mathematical sentence that shows the relationship between quantities that are not equivalent
inverse operations
operations that undo each other
Negative number
a number less than zero
numerical expression
A mathematical phrase that has a combination of numbers and at least one operation
opposites
two numbers that have the same absolute value but have different signs
order of operations
The rules for calculating a maths question containing mixed operations, such as 14 - 2 x 4 + 12
Powers
an expression that indicates repeated multiplication. 2^3 means 2 x 2 x 2.
Solution
The value or values that make an equation or inequality true.
solve
The process used to find the value or values that make an equation true.
Variable
an alphabetic character representing a number, called the value, which is either arbitrary or not fully specified or unknown. It is usually a letter like x or y.
Subtraction involving integers
Add the opposite; Keep, Change, Change
Division with rational numbers, fractions
Multiply by the reciprocal of the divisor
Whole Numbers
Zero and the counting numbers 1, 2, 3, 4, 5, 6, and so on. If a number has a negative sign, a decimal point, or a part that's a fraction, it is NOT a whole number.
Integers
the set of positive whole numbers and their opposites(negative numbers) and 0
Positive Integers
A whole number greater than zero;it is always to the right of zero on the number line
Negative Integers
Whole numbers that are less than 0 and are to the left of 0 on a number line. They are always written with a minus sign (for example -1)
quadrants
Four regions into which a coordinate plane is divided by the x-axis and the y-axis
ratio
A comparison of two quantities, also know as fancy word for fraction.
Rational numbers
Numbers that include integers, wholes, and natural numbers.
numerator
the top part of a fraction
rate
* multiplication
unit rate
A rate with the denominator of 1.
proportion
An equation that states that two ratios are equal.
Natural numbers
A group of numbers that include 1,2, 3,.....
Negatives
Numbers that are less than zero.
Positives
Numbers that are greater than zero.
Subtraction
to take a quantity away from another
Adding
Moving right/up on the number line.
Graph of an Inequality
Graph that shows all the solutions of the inequality
solution of an inequality
Any number that makes the inequality true