Question

How do you write $7,000,000,000$ in scientific notation?

Answer 1

Hint:In scientific notation, a number is written as a product of a number lying between 1 and 10 and a power of 10.
An example of scientific notation is $N \times {10^m}$ where N lies between 1 and 10 and involves only significant figures. Scientific notation is used to express too large or too small numbers in the decimal form for a convenient expression. We are given a number that is written in standard form and we have to convert it into scientific notation.

Complete step by step answer:
\[7,000,000,000\] can be rewritten as $7 \times 1000000000$ .
Now, $100000000 = 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \times
10$ that is $7 \times 1000000000$ is equal to the product of 7 and 10 multiplied with itself 9 times,
so it can be written as –
$7 \times 1000000000 = 7 \times {10^9}$
Hence the scientific notation of $7,000,000,000$ is $7 \times {10^9}$ .

Note: It can be also be solved by using this approach –
To write a number in scientific notation we multiply and divide the given number with a power of 10 such that the power is equal to (total number of digits – 1), this way the decimal point is placed after the first digit. The scientific notation should contain only significant figures so the digits after the decimal point are rounded off.
Now, the scientific notation can be easily converted into standard form by multiplying the decimal number with the power of 10. While writing the given number in scientific notation, we see that there is only one significant figure so no decimal will be involved, thus the calculation is easy. This way we can solve similar questions.