How do I convert 3427 into scientific notation?

1 Answer
Oct 11, 2014

A number in scientific notation 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