Question

How do you write $8.5 \times {10^{ - 7}}$ in standard form?

Answer 1

Hint: In this question, we are going to write the given number in a standard form.
Here the given number is of the form $a \times {10^n}$.
The given number is already in a standard form.
So we are going to write the given number in its original form.
Now let us move the decimal point $n$ places to the left from where it has been placed between $a.$
Hence we can get the required result.
Standard form:
To express a number in standard form we write it as follows:
$a \times {10^n}$ Where $1 \leqslant a < 10$
And $n$ is an integer

Complete step-by-step solution:
In this question, we are going to write the given number in the standard form.
First, write the given number in the above form.
$8.5 \times {10^{ - 7}}$
The given number is already in a standard form.
We can write the given standard form in an original number.
To write this form in an original number takes $ - 7$ from the index of$10$.
Now let us move the decimal point $7$places to the left from where it has been placed between the number $8$ and $5.$
It can be written as $0.00000085\,$
$ \Rightarrow 8.5 \times {10^{ - 7}} = 0.00000085\,$
This is the original number of the given standard form.

The given number in standard form is 0.00000085.

Note: It is difficult to read numbers like $1234567865\,$ or $0.0000005674\,$. To make it easy to read we write them in a standard form. Standard form is a way of writing down very large or very small numbers easily. Any number that can be written as a decimal number, between $1.0$ and $10.0$, multiplied by a power of $10,$ is said to be in a standard form.