Indices Flashcards
Coefficient
Normally the number part of the algebraic term (e.g. in 4x, 4 is the coefficient)
Expression
A mathematical form expressed symbolically.
Examples: 7+3; a^2+b^2
Index Notation
The notation in which a product such as a × a × a × a is recorded as a^4
Cube Number
A number that can be expressed as the product of three equal integers. Example: 27 = 3 × 3 × 3. Consequently, 27 is a cube number.
Powers
The power of a number shows you how many times to use the number in a multiplication.
It is written as a small number to the right and above the base number.
Example: 8^2 = 8 × 8 =64
Square number
A number that can be expressed as the product of two equal numbers. Example 36 = 6 x 6 and so 36 is a square number.
Index Laws
Where index notation is used and powers are multiplied or divided, the rules for manipulating index numbers.
Examples:2^a × 2^b = 2^a+b and 2^a ÷ 2^b = 2^a-b
Exponent
Sometimes used instead of index
Reciprocal
The multiplicative inverse of any non-zero number. Example: 1/3 is the reciprocal of 3. Any number multiplied by its reciprocal gives 1. Example 1/3 x 3 = 1
Evaluate
Find the value of a numerical or an algebraic expression.