Notes For Scientific Notation

There are some very large numbers in chemistry For Example: The number of atoms of hydrogen in a 1.01 g sample is 602,000,000,000,000,000,000,000 Can you read this number? It’s HUGE! How huge is it?

There are some very small numbers in chemistry For Example: The radius of an electron is cm Can you read this number? It’s incredibly small!

takes very large numbers and very small numbers and writes them in a way that is easier to read and perform calculations. Scientific Notation expresses numbers as a multiple of two factors: (1) A number between 1 and 10, and (2) Ten raised to some power, or exponent

Scientific Notation expresses numbers as a multiple of two factors: (1) A number between 1 and 10, and (2)Ten raised to some power, or exponent 602,000,000,000,000,000,000,000 Hydrogen atoms Is expressed as 6.02 x Hydrogen atoms It’s big but you can tell at a glance how big tells you to move the decimal 23 places to the right to express the number without an exponent

Scientific Notation expresses numbers as a multiple of two factors: (1) A number between 1 and 10, and (2) Ten raised to some power, or exponent cm Is expressed as x cm It’s small but you can tell at a glance how small tells you to move the decimal 13 places to the left to express the number without an exponent

 You should be able to compare decimal numbers and numbers expressed in Scientific Notation  Compare: 3.00 X 10 8 m/s6.34 X Wvs 300,000,000 m/s6,340,000,000,000 W Same Number

The speed of light is 29,979,250,000 cm/sec How would this be written in Scientific Notation? ANSWER: x cm/sec

distance to moon is 225,000 miles = ________________ In Scientific Notation?

USE YOUR SCIENTIFIC CALCULATOR IN THE SCI MODE TO PERFORM THE FOLLOWING CALCULATIONS.

 (2.15 x 10 5 ) + (3.20 x 10 5 ) =  (5.07 x 10 4 ) - (1.88 x 10 6 ) =  (3.14 x ) + ( 6.23 x ) =  (6.11 x ) - (2.12 x ) =

 (2 x 10 2 ) (4 x 10 4 ) =  (2.5 x ) (2.0 x 10 8 ) =  (4.2 x 10 4 ) / (2.1 x 10 2 ) =  (9 x 10 5 ) / (3 x ) =