On day 69 of our countdown, we focus on the topic of Standard Form. Standard form is a system of writing very large or very small numbers as a power of ten. Make sure you understand the basic structure of standard form (a number between 1 and 10 then times ten to a power --> a×10b). You will be asked to write numbers in standard form as well as carry out operations using standard form. If you are asked to add or subtract Standard form; take the numbers out of standard form, add/subtract them, convert back to standard form. When asked to multiply/divide standard form; calculate the numbers first, apply the laws of indices to the powers of ten. combine and convert to standard from if necessary.
Today we are looking at the topic of Laws of Indices. It is important to understand that an index might be referred to as a power (the little number in the upper right corner) and that the base is your key component. We take a look at the three basic laws of indices involving the multiplying, dividing and raising of the powers.
We then start to explore the advanced laws of indices which share close similarities with negative and fractional powers that were covered earlier.