Question

Write 0.0000002711 in scientific notation. (Use 2 numbers after the decimal point.)

Answer 1

`Number = 2.71 * 10^(-7)`

Explanation:

Given

`Number = 0.0000002711`

Required

Write, using scientific notation

The scientific notation is written in the form:

`Form = a * 10^n` Where n is an integer and
`1 \leq a \leq 10`

To start with; Represent the given number as fraction

`Number = (2711)/(10000000000)`

Represent the denominator as an exponent

`Number = (2711)/(10^(10))`

This can be rewritten in form of:

`Number = 2711 * 10^(-10)`

Remember that:
`Form = a * 10^n` Where n is an integer and
`1 \leq a \leq 10`

This implies that; we need to adjust 2711 to a number between 1 and 10;

This gives:

`Number = 2.711 * 1000 * 10^(-10)`

Write 1000 as an exponent

`Number = 2.711 * 10^3 * 10^(-10)`

Apply law of indices

`Number = 2.711 * 10^(3-10)`

`Number = 2.711 * 10^(-7)`

The question requires 2 numbers after the decimal point;

So, 2.711 will be approximated to 2.71

`Number = 2.71 * 10^(-7)`

Hence;

`0.0000002711` is equivalent to
`2.71 * 10^(-7)`