20 Examples of Scientific Notation

The Scientific notation, also called exponential notation or standard form, makes it possible to express very large or very small numbers in a shorter and easier way, which simplifies writing and helps when having to perform mathematical operations with these numbers or incorporate them into formulas or equationstions.

It is believed that it was Archimedes who introduced the first approaches that led to the concept of scientific notation.

Numbers in scientific notation are written as the product of a whole number or decimal between 1 and 10 and a power of base 10.

In this way, the scientific notation responds to the following formula: n x 10^x o n x 10^-x. As a practical procedure, it can be said that to convert figures greater than 1 to scientific notation, one must place a comma after the first digit and calculate the exponent based on how many places to the left are They left.

To convert figures less than 1 to scientific notation, place a comma after the second to last digit and calculate the exponent based on how many places to the right were left, expressed as negative. In the examples given above, Avogadro's number would be 6.022 × 10

²³ and the weight of hydrogen is 1.66 × 10^-23.

Numbers in scientific notation can also be written as exponential notation. For example, 4 × 10⁸ it could be written as 4e + 8.

To multiply figures in scientific notation, you must multiply the numbers found in the left side, that product is then multiplied by 10 raised to the sum of the exponents individual. To divide figures in scientific notation, you have to divide the numbers that are on the left side, that result is multiplied by 10 raised to the subtraction of the exponents.

Examples of scientific notation

Here are examples of figures in scientific notation:

1. 7.6 x 10¹² kilometers (distance between the sun and Pluto at the farthest point in its orbit)
2. 1.41 x 10²⁸ cubic meters (volume of the sun).
3. 7.4 x 10¹⁹ tons (mass of the moon)
4. 2.99 x 10⁸ meters / second (speed of light in vacuum)
5. 3 x 10¹² number of bacteria what can be in a gram of soil
6. 5,0×10^-8 Planck's constant
7. 6,6×10^-12 Rydberg's constant
8. 2,2 × 10^-9 proton radius
9. 1.5 x 10^-5 mm size of a virus
10. 1.0 x 10^-8 cm size a atom
11. 1.3 x 10¹⁵ liters (volume of water in a pool)
12. 0.6 x 10^-9
13. 3.25 x 10⁷
14. 2 x 10^-4
15. 3.7 x 10¹¹
16. 2.2 x 10⁷
17. 1.0 x 10^-9
18. 6.8 x 10⁵
19. 7.0 x 10^-4
20. 8.1 x 10¹¹