Question

How do you write 32,000 in scientific notation?

Answer 1

Hint: The number given is in general form. When we write it in standard form or we can say scientific form we use powers of 10. All zeros are written in the form of powers of 10. Also, sometimes we use decimal also and increase the power of 10 by 1. And this is increased as the decimal shifts to left. Now let’s solve it!

Complete step-by-step solution:
Given the number is 32,000.
Now the zeros if separated then the same number can be written as
\[ \Rightarrow 32 \times 1000\]
But since we want to write this number in standard form we will use powers of ten as
\[ \Rightarrow 1000 = {10^3}\]
So the number can be written as
\[ \Rightarrow 32 \times {10^3}\]
But if this is not available in option; then shifting the decimal point to left by one decimal place we get,
\[ \Rightarrow 3.2 \times 10 \times {10^3}\]
\[ \Rightarrow 3.2 \times {10^4}\]

Therefore the correct answer is \[3.2 \times {10^4}\].

Note: Scientific notations are generally used to write the long distances, heavy weights like these. The distance in case of two planets, in between the earth and sun, moon. Like these places we use this type of notations. In science there are some constants. Their values are obtained in such a way that the power of 10 attached with it is very high.