SCIENTIFIC NOTATION

SCIENTIFIC NOTATION. A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALL NUMBERS..

Mathematicians are Lazy!!!. They decided that by using powers of 10, they can create short versions of long numbers..

Rules for Scientific Notation. To be in proper scientific notation the number must be written with * a number between 1 and 10 * and multiplied by a power of ten 23 X 10 5 is not in proper scientific notation. Why?.

The number 4,500 is written in scientific notation as ________________..

If a number is greater than 10, the exponent will be _____________ and is equal to the number of places the decimal must be moved to the ________ to write the number in scientific notation..

If a number is less than 10, the exponent will be _____________ and is equal to the number of places the decimal must be moved to the ________ to write the number in scientific notation..

1. Move the decimal to the right of the first non-zero number..

So......... 137,000,000 can be rewritten as 1.37 X 10 8.

Using scientific notation, rewrite the following numbers..

1.23 X 105. 123,000. Convert these:.

4,000. 4 X 103. Try These. 2.48 X 103. 2,480.

In the United States, 15,000,000 households use private wells for their water supply. Write this number in scientific notation..

The U.S. has a total of 1.2916 X 107 acres of land reserved for state parks. Write this in standard form..

Why does a Negative Exponent give us a small number ?.

= 10-1. So............ = = 10-2.

Using Scientific Notation,. Your Turn. rewrite the following numbers..

1) 0.0004. 4 X 10-4. More Examples. 2) 1.248 X 10-6.

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A ribosome, another part of a cell, is about 0.000000003 of a meter in diameter. Write the length in scientific notation..

Scientists must be able to use very large and very small numbers in mathematical calculations. As a student in this class, you will have to be able to multiply, divide, add and subtract numbers that are written in scientific notation. Here are the rules..

When multiplying numbers written in scientific notation….. multiply the first factors and add the exponents..

Divide the numerator by the denominator. Subtract the exponent in the denominator from the exponent in the numerator..

To add or subtract numbers written in scientific notation, you must…. express them with the same power of ten..

Thank you......... Prepared by: JUN REIN ABORDO GRADE 7.