Avogadro's Number In Scientific Notation

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Avogadro's Number In Scientific Notation 5 430 000

Example: In scientific notation, Avogadro's number is approximately 6.022141793 × 10 23. Matching this with the formal definition, a is the decimal 6.022141793 and k is the exponent 23. Jan 05, 2019 Avogadro's number is one of the most important constants used in chemistry. It is the number of particles in a single mole of a material, based on the number of atoms in exactly 12 grams of the isotope carbon-12. Avogadro's number Avogadro's number is the number of particles in one mole of any substance. Its numerical value is 6.02225 × 1023. One mole of oxygen gas contains 6.02 × 1023molecules of oxygen, while one mole of sodium chloride contains 6.02 × 1023sodium ions and 6.02 × 1023 chloride ions. Answer: Scientific Notation! And a Scientific Calculator! Scientific Notation Any number in the realm of numbers can be expressed as a number between 1 and 10 multiplied by 10 to the appropriate power. The diameter of the earth at the equator is 7918 miles. In scientific notation that is 7.918 × 10 3 7. So learn to do it and learn to properly.

Scientific notation-

A better and simplified way to represent very large or very small values is called scientific notation. It is also called exponential notation.

Scientific notation is a way to represent very large & very small numbers between 1.000 and 9.999 by dividing or multiplying by 10 to an appropriate number of times.

The very large or small number is expressed in terms of scientific notation like N x 10ⁿ

Where N is number and n is the exponent.

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Example 1 – Avodagro’s number is 602,213,700,000,000,000,000,000. It is written in scientific notation like 6.022 x 10²³

Example 2- Represent 1234.89 in scientific notation.

Representation in scientific notation is 1.23489 x 10³

While performing mathematical operations on numbers expressed in scientific notation the following points are to be remembered.

Addition & Subtraction-

During addition and subtraction, exponent ( power of 10 ) must be the same.

EX ) Add 3457.65 + 675.32

= 34.5765 x 10² + 6.7532 x 10²

= ( 34.5765 + 6.7532) x 10²

= 41.3297 x 10²

= 41.33 x 10²

EX ) Add 3.65 x 10³ + 7.59 x 10⁴

= 0.365 x 10⁴ + 7.59 x 10⁴

= ( 0.365 + 7.59) x 10⁴

= 7.955 x 10⁴

= 7.96 x 10⁴

Multiplication –

In multiplication ,follow the relation (10^x ) x (10^y) =10 ^{x + y}

Ex 1) Multiply 2.14 x 10^-5 x 3.56 x 10³

= (2.14 x 3.56 ) x 1o ^{3 – 5}

= 7.6184 x 10 ^{3 – 5}

= 7.62 x 10 ^-2

Ex 2) Multiply 3.24 x 10 ² x 2.76 x 10³

= (3.24 x 2.76) x 10 ²⁺³

= 8.9424 x 10 ^{2+ 3}

= 8.94 x 10 ⁵

Ex 3) Multiply 4.26 x 10 ⁵ x 8.47 x 10⁶

= (4.26 x 8.47) x 10^{5 + 6}

= 36.0822 x 10 ^{5+ 6}

= 36.0822 x 10 ¹¹

= 3.61 x 10 ¹²