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Published byAshlie Malone Modified over 7 years ago

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Scientific notation

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What is scientific notation? Numbers are written in the form M × 10 ^n, Where the factor M is a number greater than or equal to 1 but less than 10, and n is a whole number. Ex. 6.5 × 10⁴ km Ex. 9.8 × 10¯³ g

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How to determine scientific notation

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Convert numbers into scientific notation 89000 68.65 .00087 .000000000453 222.22

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Adding and subtracting scientific notation Can be performed only if the values have the same exponent (n factor). Ex. 4.2 × 10² − 2.2 × 10² = 2 × 10² If they do not have the same number, adjustments must be made so the exponent values are equal. Ex. 7.001 × 10³ + 9.3 × 10⁴ =.7001 × 10⁴ + 9.3 × 10⁴ = 10.0001 × 10⁴ = 1.00001 × 10⁵

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Add or subtract 6.09 × 10¯¹ + 9.2 × 10¯¹ 7.968 × 10⁴ - 9.68 × 10³ 5900 + 7.8 × 10³ 2.31 × 10¯³ + 6.12 × 10¯⁵ 1.22 × 10¹² + 1.22 × 10¹⁴ 2.34 × 10² + 1.8 × 10¯¹

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Multiplication of scientific notation The M factors are multiplied, and the exponents are added algebraically. Ex. 1.2 × 10⁵ × 5.45 × 10² = 6.54 × 10⁷

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Multiply scientific notations

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Dividing scientific notation

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Divide scientific notations

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