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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.
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
The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)
The horizontal axis on a coordinate plane.
The vertical axis on a coordinate plane.
The set of whole numbers and their opposites.
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
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
The number that corresponds to a point on a number line
An example that proves a conjecture false
An educated guess
A mathematical sentence that contains an equals sign
To find the value of a mathematical expression.
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
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
an expression that indicates repeated multiplication. 2^3 means 2 x 2 x 2.
The value or values that make an equation or inequality true.
The process used to find the value or values that make an equation true.
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.
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)
Four regions into which a coordinate plane is divided by the x-axis and the y-axis
A comparison of two quantities, also know as fancy word for fraction.
Rational numbers
Numbers that include integers, wholes, and natural numbers.
the top part of a fraction
* multiplication
unit rate
A rate with the denominator of 1.
An equation that states that two ratios are equal.
Natural numbers
A group of numbers that include 1,2, 3,.....
Numbers that are less than zero.
Numbers that are greater than zero.
to take a quantity away from another
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