Question

Pluto is \[3.67 \times {10^9}\] miles away from the Sun. How do I write this number in standard form?

Answer 1

Hint: Here in this question, we have to write the given distance of Pluto from the Sun in scientific notation to standard form it means, \[{10^9}\] means "nine times ten" nine times so we are moving the decimal point nine places to the right. Otherwise, 3.67 multiply with 10 on nine times to get the required solution.

Complete step by step solution:
Scientific notation is a standard way of writing very large and very small numbers so that they’re easier to both compare and use in computations. To write in scientific notation, follow the form \[N \times {10^a}\] , where ‘N’ is a number between 1 and 10, but not 10 itself, and ‘a’ is an integer (positive or negative number).
Consider the given distance of Pluto from the Sun is
 \[ \Rightarrow 3.67 \times {10^9}\]
If we need to convert any number from scientific notation into standard form, then all we have to do is to move the decimal point to the left in case of a negative exponent. We will repeat the same process on the right side if the exponent of ten has a positive sign. Moving of the point depends only on the indication of the exponent. A positive index of 10 indicates that it is a very small number and if the index is negative it means it is a very small decimal.
Here in the given question, \[{10^9}\] indicates how many place holders there are after the decimal point in \[3.67\].
So, we have to multiply \[3.67\] by \[1,000,000,000\] to get:
 \[ \Rightarrow 3,670,000,000\]
Hence, the decimal point moves 9 places to the right.
Therefore, the standard number of distance of Pluto from the Sun is \[3,670,000,000\] miles.
So, the correct answer is “3,670,000,000”.

Note: To write in scientific notation, follow the form \[N \times {10^a}\] , where ‘N’ is a number between 1 and 10, but not 10 itself, and ‘a’ is an integer. We can convert the scientific form into a numeral form. We must know about the exponential number. We should also know the place value system.