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

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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.

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

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. 9.85 x 10 7 6.41 x 10 10 2.79 x 10 8 4.2 x 10 6

More Practice Problems 1) 734,000,000 = ______ x 10 8 2) 870,000,000,000 = ______x 10 11 3) 90,000,000,000 = _____ x 10 10 On these, decide where the decimal will be moved. 1)7.34 x 10 8 2) 8.7 x 10 11 3) 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 10 4 2) 7.2 x 10 6 3) 8.02 x 10 11

What do you do if the number is less than 1? 0.000036 3.6 x 10 -5 0.0000007589 7.589 x 10 -7 0.000000000000256987 2.56987 x 10 -13

Scientific Notation to Standard Form Move the decimal to the right if exponent is positive. 3.4 x 10 5 in scientific notation 340,000 in standard form 3.40000 --- move the decimal

Write in Standard Form 6.27 x 10 6 9.01 x 10 4 6,270,000 90,100

Scientific Notation to Standard Form Move the decimal to the left is the exponent is negative. 3.6 x 10 -6 7.85 x 10 -2

Write in Standard Form 6.27 x 10 -6 9.01 x 10 -4

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