Question

How do you write 0.00000063 in scientific notation?

Answer 1

Hint: Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in the scientific notation. We will convert the simple notation 0.00000063 into the scientific notation. If the decimal is being moved to the right, then the exponent will be negative. And if the decimal is being moved to the left, then the exponent will be positive. \[2.594\times {{10}^{6}}\] and \[0.561\times {{10}^{-9}}\] are the examples of numbers written in the scientific notation.

Complete step by step answer:
Scientific notation needs only one digit before the decimal.
Therefore, we will write the first number 6 and add a decimal after it. After that, we will put the number/s which are put in the number 0.00000063 after 6.
So, we will write 0.00000063 as 6.3 .
Now, count the number of zeroes before 6. There are 6 zeroes.
So, as we have shifted the decimal to right by 7 places, we just need to multiply it by \[{{10}^{-7}}\] to make them equal.

So, scientific notation of \[0.00000063\] can be written as \[6.3\times {{10}^{-7}}\]

Note: This type of problem is based on the real life examples. For example, if the distance between the Sun and the Mars is 141,700,000 miles or 228,000,000 km. This distance can be easily written in the standard form as: \[1.478\times {{10}^{8}}\] miles or \[2.28\times {{10}^{8}}\] km. Another example, the DNA in a chromosome is very thin and tightly packed inside a cell, twisted and coiled so that it is \[\dfrac{1}{1000000}\] meters long. Then, this value can be written as 0.000001 meters. And to make it easy to read, we have to change it in scientific notation. So, the scientific notation of 0.000001 will be \[1\times {{10}^{-6}}\] .