ALGEBRA 1 - LESSON 37

Very large or very small numbers are often written in scientific notation, a method of writing a number as the product of a number greater than or equal to 1 but less than 10 and a power of ten.

Write in the table. Multiply to find each number in standard form.

Why do you think there is a limit to "a" where it must be greater than or equal to 1 but also less than 10? Notice that "n" can be any integer however.

Mathematical Equivalence

ON

Again, "a" must be less than 10 and greater than or equal to 1.

we moved the decimal to the right, so the exponent will be negative.

Write the number 0.000012 in Scientific Notation.

Mathematical Equivalence

ON

When we want to multiply numbers in Scientific Notation, we group our decimal numbers and our powers.

When we multiply exponents, we add!

Why are we allowed to group or rearrange values separately even if they are in parenthesis at the beginning?

Here is a real-world example of Scientific Notation being utilized - Measuring distances and sizes of objects in space yield numbers so large that we use Scientific Notation to represent them.

Give an example of how Scientific Notation of very small numbers is used in the real world

Write the number in Scientific Notation.

Mathematical Equivalence

ON

Write the number in Scientific Notation.

Mathematical Equivalence

ON