Question

How do you write $13$ million in scientific notation?

Answer 1

Hint:In this question we need to convert $13$ million into scientific notation. In mathematics scientific notation is used to write very big and small numbers in an efficient way, so that performing calculations becomes easier. To convert a given number to scientific notation multiply and divide it with power of 10.

Complete step by step solution:
Let us try to solve this question in which we have to write $13$ million in scientific notation. In scientific notation we write any number in terms of decimal numbers between $1$ and $10$ not including $10$, multiplied by powers of $10$ and power of $10$ can be either positive or negative depending on the number itself. Here are the steps of converting a number into scientific notation.
1) Count the numbers of digits after the first digit from the leftmost digit.
2) Now multiply and divide the decimal number by power of $10$. Power of $10$ the numbers of digits after the first digit from the leftmost digit.
Now, apply above steps to write $13$ million in scientific notation. As we know $13$ million is equal to $13000000$.
Now counting the number of digit after leftmost digit, we have 7 digits after leftmost digit $1$.
Now we will multiply and divide$13$million by ${10^7}$to write it in scientific notation.
$
13000000 = 13000000 \times \dfrac{{{{10}^7}}}{{{{10}^7}}} \\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 1.3 \times {10^7} \\
$
Hence $13$ million is written as $1.3 \times {10^7}$ in scientific notation.

Note: This type of questions are easy to do and are asked in exams as short type answer questions. We can also ask to write any number from scientific notation to standard form. While solving this type of problem just be careful about which power of $10$ we have to multiply and divide the given number.