Question

What is 0.514 written as a power of 10? 514 x 102 514 x 103 514 x 10-3

Answer 1

`0\underbrace{.514}_(3\to)=514\cdot10^(-3)`

Answer 2

`=514*10^(-3)`

Explanation:

The given number which needs to be written in power of 10 is 0.514

There are three digits after the decimal point. Hence, when we eliminate decimal, we need to divide the number by 1000

`0.514=(514)/(1000)`

Now, we can write
`1000=10^3`

`=(514)/(10^3)`

Now, we can use the exponent rule
`(1)/(x^a)=x^(-a)`

`=514*10^(-3)`

Thus, the number as a power of 10 is

`=514*10^(-3)`