Vocabulary

Scientific notation - When a number is written as the product of a factor and an integer power of 10. The factor must be greater than or equal to 1 and less than 10.  

Exponential notation – A way of representing repeated multiplications of the same number by writing the number as a base with the number of repeats written as a small number to its upper right.

Standard notation - is the normal way of writing numbers.

Concept

Convert standard form to exponential form.

Rules

In order to write a number as a power of ten follow the steps below: 

1. Determine the place value of the last number in the decimal.
2. Divide number by that value.
3. Write the place value as a power of ten.
4. Bring the power to the numerator.

Example

Select the correct exponential form.

0.01

Solution

0.01 = 1100 = 1102 = 10^-2

Pre-requisite Skills

Negative Exponents (8.1.5)

Power of Monomials (8.1.4)

Powers & Exponents (8.1.2)

Write Exponents (6.1.4)