Question

a) Write 0.0000000811 in standard form​

Answer 1

The standard form is written below :

Given,

The number = 0.0000000811

To find : The standard form of this number.

Let's us first of all convert this number into fractional form.

So the number in fractional form will be -

$\frac{811}{10000000000}$

Since the denominator of this fraction has 10 zeroes, so we can write -

$\frac{811}{ {10}^{10} }$

When we bring the denominator to the numerator the sign of the exponent will change into minus :

$811 \times {10}^{ - 10}$

So, in standard form, it can be written as -

$8.11 \times {10}^{ - 10 + 2}$

$8.11 \times {10}^{ - 8}$

Answer 2

$x=8.11\times 10^-^8$

Step-by-step explanation:

Given,

x=0.0000000811

We have to find the standard form of the given number.

Intially we will write it in fractional form.

$x=811/10000000000$

$x=811/10^1^0$

$x=811 \times 10^-^1^0$

In standard form it can be written as

$x=8.11 \times 10^-^1^0^+^2$

$x=8.11\times 10^-^8$