scientific notation

Question

Change the following numbers in decimal notation to scientific notation.

0.00004

0.0025

310000

Change the following numbers in scientific notation to decimal notation.

5.93 x 10-5

3 x 104

1.5 x 103

Answer 1

.00004 Move decimal point 5 places to the right to get 4.0 and the power of 10 is negative because you moved the decimal to the right, so answer is 4.0 x 10^-5

.0025 Move decimal point 3 places to the right. Answer 2.5 x 10^-3

310000 Decimal point is assumed 310000. Move decimal point 5 places to the left and the power of 10 is positive, so answer is 3.1 x 10⁵

5.93 x 10^-5 Move decimal point 5 places to the left and fill in zeroes, so answer is .0000593

3 x 10⁴ Move decimal point 4 places to the right from assumed position and fill in zeroes. Answer 30000

1.5 x 10³ Move decimal point 3 places to the right and fill in zeroes, so answer is 1500.