Scientific Notation

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What is Scientific Notation?

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A way to express very large or very small numbers using powers of ten. It is written in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.

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How do you convert a large number to Scientific Notation?

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

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Convert 670,400 to Scientific Notation.

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6.704 × 10^5

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How do you convert a small number to Scientific Notation?

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Move the decimal point to the right until only one non-zero digit remains to the left of the decimal. The exponent (n) in 10^n will be negative, indicating how many places the decimal was moved.

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Convert 0.00000089 to Scientific Notation.

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8.9 × 10^-7

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What is Standard Notation?

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The normal way of writing numbers without using exponents.

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Convert 8 × 10^2 to Standard Notation.

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800

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Convert 4 × 10^5 to Standard Notation.

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400,000

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Convert 9.7 × 10^7 to Standard Notation.

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97,000,000

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What does the exponent in Scientific Notation indicate?

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It indicates how many places the decimal point has been moved. A positive exponent means the number is large, while a negative exponent means the number is small.