Scientific Notation A short-hand way of writing large numbers without writing all of the zeros.

The Distance From the Sun to the Earth 93,000,000

Step 1 Move decimal left Leave only one number in front of decimal

Step 2 Drop the zeros after the decimal point This number is called the COEFFICIENT

Step 3 Multiply your COEFFICIENT by 10…just write the X x 10

Step 4 Count how many places originally you moved decimal Make that your power of ten

The power of ten is 7 because the decimal moved 7 places.

93,000, Standard Form 9.3 x Scientific Notation

Practice Problem 1) 98,500,000 = 9.85 x 10 ? 2) 64,100,000,000 = 6.41 x 10 ? 3) = 2.79 x 10 ? 4) 4,200,000 = 4.2 x 10 ? Write in scientific notation. Decide the power of ten x x x x 10 6

More Practice Problems 1) = ______ x ) 870,000,000,000 = ______x ) 90,000,000,000 = _____ x On these, decide where the decimal will be moved. 1)6.81 x ) 8.7 x ) 9 x 10 10

Complete Practice Problems 1) 50,000 2) ) 802,000,000,000 Write in scientific notation. 1) 5 x ) 7.2 x ) 8.02 x 10 11

Scientific Notation to Standard Form If exponent is positive, move decimal to the RIGHT. If exponent is negative, move decimal to the LEFT! 3.4 x 10 5 in scientific notation 340,000 in standard form move the decimal

Write in Standard Form 6.27 x x ,270,