Table of Contents
Index Notation Powers
Index notation is a way of representing very large or very small numbers using powers of 10. For example, the number 123 can be written as 1.23 × 10^2. This means that 1.23 is multiplied by 10^2, or 100. The number 0.0000123 can be written as 1.23 × 10^-5. This means that 1.23 is multiplied by 10^-5, or 0.0000123.
Index Definition
An index is a collection of data that is organized in a specific way. An index is created by a database administrator.
An index is a collection of data that is organized in a specific way. An index is created by a database administrator.
An index is a collection of data that is organized in a specific way. An index is created by a database administrator.
Laws of Indices
The laws of indices are a set of rules that govern how powers and radicals are combined.
The first law of indices states that when two powers are multiplied together, the result is the product of the powers. For example, 3² x 4² = 3² x 16 = 48.
The second law of indices states that when a power is raised to a power, the result is the product of the powers. For example, 3³ x 3² = 3³ x 9 = 81.
Powers of 10
To help you understand powers of 10, imagine a number line with 10 points on it, like this:
The number 1 is at the left end of the line, and the number 10 is at the right end of the line. Every number in between is a multiple of 10. So, the number 2 is 10 away from the number 1, the number 3 is 20 away from the number 1, and so on.
Now, imagine that the number line is stretched out so that it goes on forever. The number 1 is still at the left end of the line, and the number 10 is still at the right end of the line. But now, every number in between is a multiple of 10 multiplied by 10. So, the number 2 is 100 away from the number 1, the number 3 is 200 away from the number 1, and so on.
And finally, imagine that the number line is stretched out so that it goes on forever, and the number 10 is at the left end of the line. Now, every number in between is a multiple of 10 multiplied by 10 multiplied by 10. So, the number 2 is 1000 away from the number 1, the number 3 is 10,000 away from the number 1, and so on.
This is what powers of 10 look like:
1 10 100 1000 10,000 100,000 1,000,000
Each number is 10 times bigger than the number before it
