Question

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

Answer 1

Answer:

$Number = 2.71 * 10^{-7}$

Step-by-step 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

$Number = \frac{2711}{10000000000}$

Represent the denominator as an exponent

$Number = \frac{2711}{10^{10}}$

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 $2.71 * 10^{-7}$