A concise way of writing very large and very small numbers used by scientists is standard form. We can express any number in this way by writing it as a number between 1 and 10 (not including 10) multiplied by a power of 10. Let’s try writing some numbers this way.

Exercise

Let’s complete exercise 6 on pages 333 to 334 of the core textbook:

The answers are below:

Calculations

With calculations with large numbers, it can be easier to first put them into standard form, then take advantage of the commutativity of multiplication to make the calculation easier.

Example

Let’s try some others

Exercise

Let’s complete exercise 7 from pages 335 and 336 of the core textbook:

The answers are below: