## Use of Scientific NotationAn explanation by means of examples. |

So **46,700** = 467 X 100 = 4.67 X 10,000 = **4.67 X 10 ^{4}**,

backwards and forwards.

253,000 = 2.53 X 100,000 = 2.53 X 10^{5}1000 = 1.0 X 1000 = 1.0 X 10^{3}1 = 1.0 X 1 = 1.0 X 10^{0} |

To change **0.0035** to a number with one digit before the decimal point, one moves the decimal point to the right three places, thus making **3.5** which is 1000 times (i.e., 10^{3} times) greater than 0.0035. To **compensate**, we can __divide 3.5 by 1000__ which amounts to __multiplying 3.5 by 1/1000__, subsequently getting 3.5 X [1/10^{3}] and **3.5 X 10 ^{–3}**.

0.016 = 1.6/100 = 1.6 X [1/100] = 1.6 X [1/10^{2}] = 1.6 X 10^{–2}(Note how this one is simpler.) 0.01 = 1/100 = 1/10^{2} = 1.0 X 10^{–2}0.00723 = 7.23/1000 = 7.23 X [1/1000] = 7.23 X [1/10^{3}] = 7.23 X 10^{–3} |

Page last modified on 8/25/04 at 6:30 PM, CDT. |