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 Write number without zeros

Step 3 Count how many places you moved decimal Make that your power of ten

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

Standard Form 93,000,000 Scientific Notation 9.3 x 10 7

Practice Problem 1) 98,500,000 = 9.85 x 10 ? 2) 64,100,000,000 = 6.41 x 10 ? 3) 279,000,000 = 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) 734,000,000 = ______ x ) 870,000,000,000 = ______x ) 90,000,000,000 = _____ x On these, decide where the decimal will be moved. 1)7.34 x ) 8.7 x ) 9 x 10 10

Complete Practice Problems 1) 50,000 2) 7,200,000 3) 802,000,000,000 Write in scientific notation. 1) 5 x ) 7.2 x ) 8.02 x 10 11

Scientific Notation to Standard Form Move the decimal to the right 3.4 x 10 5 in scientific notation 340,000 in standard form move the decimal

Write in Standard Form 6.27 x x ,270,000 90,100

Negative numbers/Decimals On numbers with decimals just move the decimal to the left. Give the remaining power of 10 a negative number the number you have moved the decimal.

Examples in standard notation is 3.5 x in scientific notation is 5.67 x in scientific notation 1.4 x in scientific notation is in standard notation

Remember that all decimals will have a negative exponent! Write in Scientific Notation or Standard Form: 0.98 = 9.8X = 5.8 x x = 0.335