Question

Multiplying a number by which of the following would result in a smallest number? 10^-1 10^0 10^1 10^2

Answer 1

10^-1 would be the smallest answer...

10^-1= .1
10^0= 1
10^1= 10
10^2= 100

Answer 2

To obtained the smallest number multiply the number with
`(10)^(-1)`.

Explanation:

Given :
`(10)^(-1),\ (10)^0,\ (10)^1,\ (10)^2`

We have to find when we multiply any number with the given number which number will give the smallest value.

Consider the given numbers,

`(10)^(-1),\ (10)^0,\ (10)^1,\ (10)^2`

We find the values of each number one by one,

1) consider
`(10)^(-1)`, using property of exponents
`a^(-m)=(1)/(a^m)`, we have

`(10)^(-1)=(1)/(10)=0.1`

2)
`(10)^0` we know any thing to power 0 is always 1.

`(10)^0=1`

3)
`(10)^1` is same as itself that is 10.

4)
`(10)^2` is
`(10)* 10=100`

Thus, To obtained the smallest number multiply the number with
`(10)^(-1)`.