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MathCrib

# MathCrib - Newsroom Math Crib Sheet By Prof Steve Doig...

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Newsroom Math Crib Sheet By Prof. Steve Doig Arizona State University To convert a fraction into a decimal: Divide the top number by the bottom number Examples: 5/8 = 0.625 17/64 = 0.265… To convert a decimal into a percentage: Multiply by 100 (or simply move the decimal two places to the RIGHT) Examples: 0.658 = 65.8% 1.255 = 125.5% To turn a percentage into a decimal: Divide by 100 (or simply move the decimal two places to the LEFT) Examples: 43.7% = 0.437 148.2% = 1.482 To get X% of Y: Turn X% into a decimal, then multiply it by Y Example: 20% of 90 = 0.20 * 90 = 18 130.5% of 45 = 1.305 * 45 = 58.7… To compare X and Y using percentages (X is what percent of Y?): X is (X/Y * 100) percent of Y Example: 5 and 8: 5/8 = .625 = 62.5%, so 5 is 62.5% of 8 Example: 8 and 5: 8/5 = 1.6 = 160%, so 8 is 160% of 5 To compare X and Y using percentage differences: X is ((X/Y –1) * 100) MORE/LESS than Y Use MORE THAN if the answer is positive, and LESS THAN if it’s negative Example: 5 and 8: 5/8 –1 = .625 – 1 = -0.375 = -37.5%, so 5 is 37.5% less than 8 Example: 8 and 5: 8/5 –1 = 1.6 – 1 = .6 = 60%, so 8 is 60% more than 5
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