2 Scientific Notation Use to express very large or small numbers or x1023or x10-19
3 Scientific NotationScientific (Exponential) notation is a system in which a number is expressed as a product of a number between 1 and 9 multiplied by 10 raised to a power (exponent).
4 Scientific Notation C x 10n C= the coefficient= only the significant figures are usedn= the exponent (power)= location of the decimal point
5 Scientific Notation1. The value of the exponent is determined by counting the number of places the original decimal point must be moved to give the coefficient. Remember that the coefficient must be a number from 1 to 9.
6 Scientific Notation2. If the original number (in standard notation)is greater than 1, the exponent is a positive number.or x10233. If the original number is less than 1, the exponent is a negative number.or x10-19
7 Example 1 Write 628,000 in scientific notation a. Determine the number of sig figs __3b. Write the coefficient ____6.28c.Determine the number of places to move the decimal point __ larger than 1 = positive exponent5Answer =6.28 x 105
8 Example 2 Write 0.00260 in scientific notation a. Determine the number of sig figs __3b. Write the coefficient ____2.60c. Determine the number of places to move the decimal point __ smaller than 1 = negative exponentAnswer =2.60 x 10 -3
9 Write the Following in Scientific Notation 2305.7x 1033,000,0003 x 106300.3.00 x 1021.0 x 10-4402.04.020 x 1020.10051.005 x 10-13.573.57 or 3.57 x 100
10 Scientific NotationTo convert from scientific notation back to standard (ordinary) notation:Simply move the decimal point the number of places indicated by the exponent.Positive exponent= make number largerMove decimal to the right Negative exponent= make number smallerMove decimal to the left
11 Write the Following in Standard Notation a. 3.4 x b x c x d. 6.5 x e. 5 x 106 5,000,000
13 Graphing Circle graph (also called pie chart) Used to show parts of a fixed whole. Usually parts are labeled as percents with the circle representing 100%.
14 Graphingb. Bar graph- good for showing quantitative data or data that you can count at exact intervals Ex. Rain fall total each month
15 GraphingLine graph- good for showing relationship between two variablesIndependent variable is plotted on the X axisDependent variable is plotted on the Y axisBest fit line is drawn so that as many points fall above the line as below
16 GraphingDirectly relatedPositive slopeAs X increases, Y increases
17 Graphing Inversely related Negative slope As X value increases, Y decreases