how can you express a number in expanded form and in scientific notation?

3 answers

Scientific Notation is a way that people use to write numbers that would be unpleasant to write out in Standard/Decimal Notation. Here are some examples that illustrate why anyone would care about how they write down a number:

Decimal Notation Scientific Notation
5,000,000,000,000 = 5 × 1012
12,000,000,000 = 1.2 × 1010
430,000,000 = 4.3 × 108
0.000000000008 = 8 × 10-12
0.0000000023 = 2.3 × 10-9
0.00000095 = 9.5 × 10-7
The carat (^) is used online to indicate a power, so 10^2 = 10 squared. Anna's answers need to be modified as shown below.

Decimal Notation Scientific Notation
5,000,000,000,000 = 5 × 10^12
12,000,000,000 = 1.2 × 10^10
430,000,000 = 4.3 × 10^8
0.000000000008 = 8 × 10^-12
0.0000000023 = 2.3 × 10^-9
0.00000095 = 9.5 × 10^-7

I hope this helps a little more. Thanks for asking.
thanks so much.. it did help. thanks for the answers!!