Scientific Notation: m x 10n, 1 ≤ m < 10 and n is an integer
Conversion Procedure for a Given Number in Standard Form:
- Move the decimal point to where there is only one digit greater than 0 to its left
- Moving the decimal point n places to the left corresponds to a positive n (n), and moving the decimal point n places to the right corresponds to a negative n (-n)
- m is equal to the number formed by the digit to the left of the new decimal point location, and any digit(s) to its right less trailing 0s
- There are 5 digits to the left of the decimal point
- Therefore the decimal point needs to be moved 4 places to the left (n = 4)
- After the decimal point is moved, the digit to its left is 7, and less the trailing 0, the digits to its right are 012
- As a result, m = 7.012
- In Scientific Notation: 70,120 = 7.012 x 104