 # Scientific notation. 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.

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Scientific notation

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

How to determine scientific notation

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

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

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

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

Multiply scientific notations

Dividing scientific notation

Divide scientific notations

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