Question

How do we write `1347` in scientific notation?

Answer 1

`1347=1.347xx10^3`

Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of `10`.

Note that moving decimal `p` digits to right is equivalent to multiplying by `10^p` and moving decimal `q` digits to left is equivalent to dividing by `10^q`.

Hence, we should either divide the number by `10^p` i.e. multiply by `10^(-p)` (if moving decimal to right) or multiply the number by `10^q` (if moving decimal to left).

In other words, it is written as `axx10^n`, where `1<=a<10` and `n` is an integer.

To write `1347` in scientific notation, we will have to move the decimal point three points to left, which literally means dividing by `10^3`.

Hence in scientific notation `1347=1.347xx10^3` (note that as we have moved decimal three points to left and thus divided by `10^3`, we are multiplying by `10^3` to compensate

Answer 2

`1.347xx10^3`

Explanation:

Building in steps so that you can see what is going on:

Given:`" "1347`

`1347 -= 134.7xx10`
`1347 -=13.47xx10xx10`
`1347-=1.347xx10xx10xx10`

`1347 -= 1.347xx10^3`