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 positive exponent of 10.

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Convert 24,500,000 to scientific notation.

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2.45 × 10^7

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Convert 2000.1 to scientific notation.

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2.0001 × 10^3

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Convert 154,000 to scientific notation.

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1.54 × 10^5

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Convert 29,200,000 to scientific notation.

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2.92 × 10^7

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Convert 600 to scientific notation.

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6 × 10^2

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What is the general form of scientific notation?

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a × 10^n, where a is a number between 1 and 10, and n is an integer.

Front

How do you convert a small number to scientific notation?

Back

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

Front

Convert 0.00045 to scientific notation.

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4.5 × 10^-4