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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

How do you write one forty-one thousandths in standard form?

Forty-one thousandths in standard form is written as 4.1 × 10-2

How do you write 7384 using the power of 10?

7.384 x 10^3 or (7 x 10^3) + (3 x 10^2) + (8 x 10^1) + (4 x 10^0)

How do you put things out of scientific notation?

If the exponent is positive, move the decimal to the right the same number of spaces as the number of the exponent. If the exponent is negative, move the decimal to the left the same number of spaces as the number of the exponent.

Examples:

2.5 x 103 is 2500 in standard notation. (Move the decimal to the right 3 spaces.)

4.9 x 10-5 is 0.000049 in standard notation. (Move the decimal to the left 5 spaces.)

What is 70 in scientific notation?

70 in scientific notation is 7 x 101 (might show up as 7E1 on some calculators).

Watch out for significant figures and avoid 7.0 x 101 as the zero is not a sig fig in this case since there is no decimal.

Why is scientific notation used in science and math?

Purely a matter of convenience. It's much easier to write, read, say, and remember 6.023 x 1023

than it would be to write, read, say, or remember 602,300,000,000,000,000,000,000.

And it's a lot easier to add, subtract, multiply, or divide two of that kind of number

if they're presented in scientific notation.

How is ten billion expressed in standard form?

Ten billion (10,000,000,000*) expressed in standard form is: 1.0 × 1010

*this is the standard notation