Scientific Notation

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What is Scientific Notation?

Back

A way of expressing very large or very small numbers in the form of a × 10^n, where 1 ≤ a < 10 and n is an integer.

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How do you convert a number to Scientific Notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

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Convert 0.00000089 to Scientific Notation.

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8.9 x 10^-7

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What is Standard Notation?

Back

The normal way of writing numbers without exponents.

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Convert 3.2456 x 10^{-8} to Standard Notation.

Back

0.000000032456

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How do you write 4.3756 x 10^4 in standard form?

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43,756

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Convert 9.7 x 10^7 to Standard Notation.

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97,000,000

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How do you write 8.317 x 10^6 in standard form?

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8,317,000

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What does the exponent in Scientific Notation indicate?

Back

It indicates how many places to move the decimal point. A positive exponent means move to the right, and a negative exponent means move to the left.

Front

What is the purpose of using Scientific Notation?

Back

To simplify the representation of very large or very small numbers, making them easier to read and work with.