Form of writing a number based on powers of the base number 10.
1.23 x 10 to the 11th power (meaning 10 x itself 11 times)
the first number 1.23 is called the "coefficient". It must be greater than or equal to 1 and less than 10.
The second number is called the "base" . It must always be 10 in scientific notation. The base number 10 is always written in exponent form. In the number 1.23 x 10 to the 11th power, the number 11 is referred to as the exponent or power of ten.
To write a number in scientific notation:
1. Put the decimal after the first digit and drop the zeroes.
In the number 123,000,000,000 the coefficient will be 1.23
*the decimal will go after the 1 and get rid of all the zeroes in the number. Keep all numbers besides zeroes as part of the coefficient.
2. To find the exponent count the number of places from the decimal to the end of the number. All the numbers after the decimal are included in this counting, regardless if they're zeroes or other numbers.
In 123,000,000,000 there are 11 places.
12 345 678 91011
therefore we write 123,000,000,000 as:
1.23 x 10 to the 11th power.