Understanding Scientific Notation: A Convenient Way to Express Numbers

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Scientific notation is a method to represent large or small numbers efficiently. Explore examples like the world population, Earth-sun distance, and grain of sand diameter, and learn how to write in scientific notation with ease.

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WHAT IS SCIENTIFIC NOTATION? Scientific notation is a way of Scientific notation is a way of expressing numbers that are too big expressing numbers that are too big or too small to be conveniently or too small to be conveniently written in decimal form. written in decimal form.

WHAT IS SCIENTIFIC NOTATION? A number in scientific notation is A number in scientific notation is written as: written as: a 10 a 10n n where where 1 10 and may include 1). 10 and may include 1). 1 a<10 (a is between 1 and a<10 (a is between 1 and

WHAT IS SCIENTIFIC NOTATION? Examples include: Examples include: The population of the The population of the world is 7 billion people. billion people. Standard form: 7,000,000,000 Standard form: 7,000,000,000 Scientific notation: 7 x10 Scientific notation: 7 x109 9 world is 7

WHAT IS SCIENTIFIC NOTATION? Examples include: Examples include: The The distance distance from the Earth to the the sun sun is is 93 million miles. 93 million miles. Standard form: 93,000,000 Standard form: 93,000,000 Scientific notation: 9.3 x10 Scientific notation: 9.3 x107 7 from the Earth to

WHAT IS SCIENTIFIC NOTATION? Examples include: Examples include: The The diameter diameter of a grain of sand is 24 ten is 24 ten- -thousandths inch. thousandths inch. Standard form Standard form: . : .0024 Scientific notation: 2.4 x10 Scientific notation: 2.4 x10- -3 3 of a grain of sand 0024

WHAT IS SCIENTIFIC NOTATION? Examples include: Examples include: 3.4 10 3.4 105 5 8.32 10 8.32 10- -16 1.0 10 1.0 10150 16 150 The first number is between 1 and 10 and may include 1. The exponent may be positive or negative.

WHAT IS SCIENTIFIC NOTATION? Examples Examples DO NOT DO NOT include: - -3.2 10 3.2 104 4 34.0 10 34.0 106 6 include: The first number MUST be between 1 and 10 (and may include 1).