Review of Rules for Scientific Notation
Scientific notation is a way to re-write very large numbers and very small decimals.
Very Large Numbers
Evaluate each of the following using your calculator:
100 = ______
101 = ______
102 = ______
103 = ______
104 = ______
105 = ______
Do you notice a pattern? _________
Write in your own words what the pattern is. ___________________________________
________________________________________________________________________
Scientific notation needs to be written using the following form for very large numbers.
one digit . other significant digits × 10approptiate positive exponent
Write each of the following in scientific notation.
345 000 000 = ______________
2600 = ______________
2 560 000 000 = ______________
340 = ______________
90 000 000 000 = ______________
35 260 = ______________
200 000 = ______________
580 000 = ______________
Very Small Numbers (Long Decimals)
Evaluate each of the following using your calculator:
10-1 = ______
10-2 = ______
10-3 = ______
10-4 = ______
10-5 = ______
10-6 = ______
Do you notice a pattern? _________
Write in your own words what the pattern is. ___________________________________
________________________________________________________________________
Scientific notation needs to be written using the following form for very small numbers.
one digit . other significant digits × 10approptiate negative exponent
Write each of the following in scientific notation.
0.0035 = ______________
0.0000000652 = ______________
0.024 = ______________
0.00654 = ______________
0.00001458 = ______________
0.0064 = ______________
0.2657 = ______________
0.0000000000000287 = ______________
Use your calculator to perform each of the following calculations. Make sure each of
your answers has the right number of significant digits.
2.5  10 3  4.56  10 2 = ______________
3.7  10 4  4.56  10 2 = ______________
7.89  10 7  6.85  10 6 = ______________
5.887  10 3  6.4  10 6 = ______________