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QUESTION

# How do I convert 3427 into scientific notation?

A number in is in the form

a * 10^b

Generally,

1 <= a < 10

For 3427, the decimal point is on the right of 7

3427.0

We need to move the decimal such that 1 <= a < 10 will be satisfied.

However, we also need to retain its value. For each movement of the decimal place to the left, multiply the number by 10.

To satisfy 1 <= a < 10, the decimal place needs to move by 3 places to the left.

Hence, we have

3.427 * 10^3

For the longer version of converting to scientific notation, we have 3427 * (1) = 3427 3427 * (1/10 * 10) = 3427 (3427 * 1/10) * 10 = 3427 342.7 * 10 = 3427

342.7 * 1 * 10 = 3427 342.7 * (1/10 * 10) * 10 = 3427 (342.7 * 1/10) * (10 * 10) = 3427 34.27 * (10^2) = 3427

34.27 * 1 * (10^2) = 3427 34.27 * (1/10 * 10) * (10^2) = 3427 (34.27 * 1/10) * (10 * 10^2) = 3427 3.427 * 10^3 = 3427