Question

How do you write `6022` in scientific notation?

Answer 1

`6.022 \cdot 10^3`

Explanation:

To write a number in scientific notation means to write the number with only the first significant digit as whole part, and the rest of the number as the decimal part. Obviously, we have to multiply by an appropriate power of `10` to return to our original number.

So, if we want to maintain only the first significant digit as whole part of `6022`, we will write it as `6.022`.

To do so, we included three digits in the decimal parts, i.e. we divided by `1000`. To nullify this effect, multiply back for `1000`, writing it as `10^3`:

`6022 = 6.022 \cdot 1000 = 6.022 \cdot 10^3`

Answer 2

We need to move the decimal point 3 places to the left so the exponent for the 10s term will be positive:

`6022 = 6022.0 = 6.022 xx 10^3`