Indices are mathematical expressions used to denote the power to which a number is raised, simplifying the representation of very large or very small numbers. Central to arithmetic, indices allow for efficient calculation and concise notation, reducing the need for repeated multiplication.
A common set of ecimal-based prefixes is applied to some units whoch are too large or too small for practical use without adjustment. The effect of the prefixes is to multiply or divide the unit by a factor of ten, one hundred or an integer power of one thousand. The prefix kilo, for example, is used to multiply the unti by 1000 and the prefix milli is to indicate a one-thousandth part of the unit. 1 mg = 0.001g 1 km = 1000m
Prefixes table
Standard Form
Standard Form:
Example 3:
Example 2:
Example 1:
How to solve indices equations
Example 3
Example 2
Example 1
Index Laws
The reason for learning indices
To be able to key into the calculator easier without having to repeat multiplying the same number again and again.
Arithmetic:
The mathematics of integers, rational numbers, real numbers, or complex numbers under the operations of addition, subtraction, multiplication, and division.
To do arithmetic & calculation with large no. efficiently
To represent no. in a shorter way
Eg(s).
3³ = 3×3×3
2¹ = 2
2² = 2×2
2³ = 2×2×2
What is indices?
Indices is a expression used to write very small or very big numbers.
