Engineering Notation is similar to scientific notation, except that in engineering notation the powers of 10 are always multiples of 3, such as
10-12, 10-9, 10-6, 10-3, 103, 106, 109, 1012
Whereas in scientific notation numbers are always expressed as numbers between 1 and 10, in engineering notation numbers are always expressed between 1 and 1000 times a power of 10, with the power of 10 being a multiple of 3.
To express the number 64,000 in engineering notation, it must be written as a number between 1 and 1000 times a power of 10 which is a multiple of 3.
Begin by expressing the number in scientific notation:
64,000 = 6.4 x 104.
Next, examine the power of 10 to see if it should be increased to 106 or decreased to 103.
If the power of 10 is increased to 106, then the decimal point in the number 6.4 would have to be shifted two places to the left.
Because 0.064 is not a number between 1 and 1000, the answer of 0.064 x 106 is not representative of engineering notation.
If the power of 10 were decreased to 103, however, then the decimal point in the number 6.4 would have to be shifted one place to the right and the answer would be 64 x 103, which is representative of engineering notation.
In summary, 64,000 = 6.4 x 104 = 64 x 103 in engineering notation.