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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 are the steps converting from scientific notation to standard form?

Simply multiply the base 10 to some exponent by the given value to obtain the number in standard form. For instance:

1.43214 x 105

Shift 5 decimal places to the right to obtain:

143214.0

What is the scientific notation for 0.0000395?

This number can be written (in scientific notation) as either 3.95x10-5 or 39.5x10-6.

How do you write two hundred ten billionths in scientific notation?

two hundred ten billionths in scientific notation is 2.10 x 10^-8

What is 8700000 in science notation?

8700000 = 8.7 x 10^6

To write a number in scientific notation, write the number starting from the first non-zero digit and put the decimal point after the first digit. To work out the power of ten, count how many digits the decimal point has to move to get back to where it was in the original number, but if it is has to move left make this number negative; this number is the power of the ten.

eg 123 = 1.23 x 10^2 as decimal point has to move 2 digits to the right;

eg 0.0123 = 1.23 x 10^-2 as the decimal point has to move 2 digits to the left.

What is the diameter of a proton in scientific notation?

They're having some trouble nailing down the diameter of a proton. It's somewhere around 8.5 x 10^-16 meters.

What is scientific notation used for?

It's a shorthand way to express large numbers or even very small numbers.

Example:44800000000 = 4.48e+10