# What is the expanded form of 0.045 in exponent ?

May 27, 2018

$4.5$ 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 :

$0.045 = \frac{45}{1000} = \frac{45}{10} ^ 3 = 45$ 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 ,

$\frac{45}{10}$ x ${10}^{-} 2$

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

$\therefore$ After simplification, we have

$4.5$ x ${10}^{-} 2$