How To Do Scientific Notation?

Write the number as (a times 10^n), where (1 le |a| < 10)

Move the decimal point until the coefficient (a) is between 1 and 10

Count how many places you moved the decimal point

Use a positive exponent (n) if you moved the decimal point left

Use a negative exponent (n) if you moved the decimal point right

Keep the sign of the original number in (a)

Example: (4500 = 4.5 times 10^3)

Example: (0.0067 = 6.7 times 10^{-3})

For converting from scientific notation to standard form: multiply (a) by (10^n)

If (n>0), move the decimal point right (n) places

If (n<0), move the decimal point left (|n|) places

Example: (3.2 times 10^5 = 320000)

Example: (7.5 times 10^{-4} = 0.00075)

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