Scientific Notation:
Scientific Notation
Scientific Notation - Writing a number as a power of 10 example: 1.00 x 104:
Scientific Notation - Writing a number as a power of 10 example: 1.00 x 10 4
Why use scientific notation?:
Why use scientific notation? Very large and very small numbers are more manageable to write and use. Sometimes needed to write a number with the correct number of significant figures for example, to round 100,000 mm to 3 sig figs, you would write: 1.00 x 10 5 mm
Writing numbers in scientific notation:
1, 234 mm 1.234 x 10 3 Move the decimal point in the original number so that it is located to the right of the first nonzero digit. Multiply the new number by 10 raised to the exponent that is equal to the number of places the decimal moved. If the decimal point moves: To the left, the power of 10 is positive. To the right, the power of 10 is negative. Writing numbers in scientific notation
Slide 6:
Write the following measurements in scientific notation, then record the number of sig figs. 789 g 96,875 mL 0.0000133 J 8.915 atm 0.94 ° C 7.89*10 2 g 9.6875*10 4 mL 1.33*10 -5 J 8.915 atm 9.4*10 -1 ° C 3 sig figs 5 sig figs 3 sig figs 4 sig figs 2 sig figs