OBJECTIVES Precision VS Accuracy Significant Figures Scientific Notation 1 Metric Conversions Factor Label Method Temperature Conversions

DO NOW! Put 215 into scientific notation

2.5 Scientific Notation Scientific notation is a convenient way to write a very small or a very large number. Numbers are written as a product of a number between 1 and 10, times the number 10 raised to power. 215 is written in scientific notation as: 215 = 2.15 x 100 = 2.15 x (10 x 10) = 2.15 x 102 Chapter Two

Scientific Notation Scientists have developed a shorter method to express very large numbers. This method is called scientific notation. Scientific Notation is based on powers of the base number 10.

UNDERSTANDING SCIENTIFIC NOTATION

Scientific Notation The number 145,000,000,000 in scientific notation is written as : 1.45 X 1011 The first number 1.45 is called the coefficient. It must be greater than or equal to 1 and less than 10. The second number is called the base . It must always be 10 in scientific notation. The base number 10 is always written in exponent form. In the number 1.45 x 1011 the number 11 is referred to as the exponent or power of ten.

To write a number in scientific notation: If the number 123,000,000,000 Put the decimal after the first digit and drop the zeroes. The coefficient will be 1.23 To find the exponent count the number of places from the decimal to the end of the number. In 123,000,000,000 there are 11 places. Therefore we write 123,000,000,000 as:

ANSWER 1.23 X 10 11

King Henry Doesn’t Usually Drink Chocolate Milk Kilo Hecto Deka UNIT Deci Centi Milli 1,000 100 10 1 .01 .001 .0001 If you move LEFT from the decimal exponent goes UP IF you move RIGHT from the decimal exponent goes DOWN

Scientific Notation VIDEO Worksheet Fix Incorrect

Operations w scientific notation

Exponent Rules To multiply exponents = add exponent To Divide exponents = subtract exponent VIDEO

DO WORKSHEET http://lasp.colorado.edu/~bagenal/MATH/problems/problems1.html answers

OBJECTIVES Precision VS Accuracy Rounding Numbers Significant Figures Scientific Notation Metric Conversions Factor Label Method Temperature Conversions