Scientific Notation

Thirty-six thousandths (0.036) in standard form is 3.6 × 10-2

The answer is: 1,990,000,000,000,000,000,000,000,000,000

1x10-9

629,000 in Scientific Notation = 6.29 x 105

You do not simply calculate scientific notation for nothing. You need a number for which you calculate the scientific notation.

Scientists use scientific notation because it is a convenient way of handling very large or very small numbers. Chemists, for example, use the idea of a mole, which is approximately 6.022 x 10^23 atoms or molecules of a substance. If we wrote this number out in traditional decimal notation, it would look like 602,200,000,000,000,000,000,000. Many of the constants used in physics and chemistry are also very large or very small numbers. For example, the Planck constant, important in describing the energies of quantized systems, is approximately 6.63 x 10^-34 Js. If we wrote out this number traditionally it would look like 0.000000000000000000000000000000000663.

6000 = 6 x 103

6000 = 6 x 1000

1000 = 10 x 10 x 10 = 103

⇒ 6000 = 6 x 103

2.25757e2

0.004583 = 4.583 × 10-3

1,000,000 = 1.0 × 106

2.300000e+2

1 • 10 ^ 6

140,000,000 in standard form is 1.4 × 108

The standard form of four hundred thirty thousand (430,000) is 4.3 × 105

7.568 × 102

or

7.568E2

3.99x108.

Whenever you have an exponent (as in scientific notation) that is raised to a power, you simply multiply the exponents to get your answer. You can think of it simply by expanding it out as in this example:

(A X 10^y)^3 = (A X 10^y) X (A X 10^y) X (A X 10^y)

Then you use the rules of multiplying exponents to solve:

= A x A x A x 10^y+y+y

= A^3 X 10^3y

Here's an example:

(1.35 X 10^6)^3 = 1.35^3 x 10^(6 X 3)

= 2.460375 X 10^18

=2.46 X 10^18 (In significant digits)

57000 = 5.7 x 104

0.0023 cm in Scientific Notation = 2.3 x 10-3cm

Because sometimes numbers get very big or very small.

0.18 = 1.8 × 10-1

0034 in Scientific Notation = 0.034 x 103

8.75*103

0.5, written in scientific notation is 5 x 10^-1. The first digit of scientific notation is always between 0 and 10. The power of the ten can be thought of as how many 'hops' to the left or right the decimal place has to take to make the original number. A negative number is to the left, a positive is to the right. For instance, 0.001 will be 1 x 10^-3.