Question

How do you write $89,000$ in scientific notation?

Answer 1

Hint: For answering this question we have been asked to express the given number $89,000$ in scientific notation. Scientific notation is useful while performing very complex calculations. Scientific notation is the way of expressing a number in the form of $a\times {{10}^{b}}$ where $a,b$ are real numbers. So, we express the question in this way which will be our solution.

Complete step by step solution:
Now considering from the question we need to express the given number $89,000$ in scientific notation.
From the basic concepts we can say that Scientific notation is useful while performing very complex calculations. Scientific notation is the way of expressing a number in the form of $a\times {{10}^{b}}$ where $a,b$ are real numbers and \[1\le a\le 9\].
Here the number we have is $89,000$ we need to express this number in scientific form.
Let us simply write the given number as
$\Rightarrow 89,000=89\times {{10}^{3}}$.
Here $89$is not in between 1 and 9. So, we further simplify the above expression as follows.
This number can be further simplified as,
$\Rightarrow 89,000=8.9\times {{10}^{4}}$.

Hence, we can say that the number $89,000$ expressed in scientific notation is as follows.
$\Rightarrow 89,000=8.9\times {{10}^{4}}$

Note: We have to be very careful while answering questions of this type. These questions do not require much calculations so there is very less possibility of making mistakes in questions of this type. We must have good concepts in scientific notations. We must see that \[1\le a\le 9\] this condition is satisfied. We must not do mistakes like $8.9\times {{10}^{3}}$ instead of $8.9\times {{10}^{4}}$ will be wrong as we moved the decimal place four times to the left.