Scientific Notation Converter

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Scientific notation is a way to represent very large number and very small numbers. Scientific notation is a very useful notation to represent many numbers. The decimal point is placed such that there is one non-zero digit to the left of the decimal. The exponent of 10 is decided by the number of decimal spaces the numbers has moved from the originally given number. The sign of the exponent is decided depending on the given number. If the number is less than one then the exponent of 10 is negative. If the number is greater than one then the exponent of 10 is positive.

Example 1: Convert the number 5,670,000 to scientific notation form regular notation?

Solution: Given is the number 5,670,000 which is a number greater than one.

The number can be written with a decimal point such that there is one digit to the left.

Moving the decimal point 6 spaces gives 5.67 and the exponent of 10 as 6. 

This gives 5,670,000 number is equal to 5.67 * 106.

Hence the scientific notation is 5.67 * 106.
 
Example 2: Convert the number 0.000345 to scientific notation form regular notation?

Solution: Given is the number 0.000345 which is a number lesser than one.

The number can be written with a decimal point such that there is one digit to the left.

Moving the decimal point 4 spaces gives 3.45 and the exponent of 10 as -4. 

This gives 0.000345 number is equal to 3.45 * 10-4.

Hence the scientific notation is 3.45 * 10-4.
 

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