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Scientific Notation

Scientific notation is the expression of a number based on the largest exponent of 10 for its value, where the form is a decimal number A x 10n.

6,389 Questions

What is the purpose of a scientific notation?

To write out very large or very small numbers using a minimum amount of digits

For example 1,000,000 = 1.0*106 and 0.000001 = 1.0*10-6 in scientific notation.

What is the general format of the scientific notation?

The general form of a number in scientific notation is

a x 10b, where b is an integer, and 1 <= a < 10.
Scientific notation is a convinient way of writing numbers that are either very big, or very small (close to zero).

If you have a power of 10, like 100,000, you can write it as 105.

If you have another number, that is not a power of 10, for example 200,000, you can write it as 2 x 105, whereas 250,000 would be 2.5 x 105.

In general, a number in scientific notation is any number, multiplied by a power of 10. In standard form, this "any number" will be a number between 1 and 10 (excluding 10), but it doesn't need be written this way. A power of 1000 is sometimes easier to read. For example, 28 x 109 is clearly 28 billion. (The standard notation would be 2.8 x 1010.)

Express 2 750 389 in sientific notation?

It is 2.750389*10^6 although if you retain all the digits after the decimal point, it is hardly worth the effort.

What is ten-thousandths in standard form?

Ten-thousandths in standard form is 1.0 × 10-2

What is 3.9 x 10 to the power 3?

3.9 × 103 written in regular notation is 3,900

How do you write 75000000 in scientific notation?

75000000 can be written as 7.50 x 10^7 in scientific notation.