Scientific Notation
Learning Intentions
- I can convert from scientific notation to a basic numeral.
- I can convert to scientific notation using significant figures.
- I can use technology to perform calculations in scientific notation.
Understanding Scientific Notation
Scientific Notation Form (Standard Form)
is a number from 1-10 ( ) - and
is an integer.
- To write numbers using scientific notation, place the decimal point after the first non-zero digit then multiply by a power of 10.
- Large numbers are written using positive powers of 10.
- Small numbers are written using negative powers of 10.
Applying The Form (Positive)
Applying The Form (Negative)
What is
?
- Remember, we covered negative indices here.
- Take for example,
. We know . This can be simplified to .
Significant Figures
- Significant figures are non-zero digits.
Rounding Numbers to Significant Figures