Question

What is the expanded form of 0.045 in exponent ?

Answer 1

`4.5` x `10^-2`

Explanation:

In exponential form or in scientific notation, we express the number
as `a.b` x `10^x`.

So first of all, we have to expand the number and segregate it like this :

`0.045 = 45/1000 = 45/10^3 = 45` x `10^-3`

Now, the number expressed in scientific notation always has the decimal point after the first digit.

So, we will take a `10^-1` from `10^-3` and put it in the denominator of 45.

Like this ,

`45/10` x `10^-2`

Now, it's all easy - peasy from here,

`:.` After simplification, we have

`4.5` x `10^-2`

Hence, the answer.