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Pharmacology I. Math Review. Fractions – add or subtract. Convert to equivalent fraction with like denominators Perform math on numerators Example ½ + 1/8 = 4/8 + 1/8 = 5 /8 11/12 – 17/24 = 22/24 – 17/24 = 2/ 24. Fractions - multiplication.
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Pharmacology I Math Review
Fractions – add or subtract • Convert to equivalent fraction with like denominators • Perform math on numerators • Example • ½ + 1/8 = 4/8 + 1/8 = 5/8 • 11/12 – 17/24 = 22/24 – 17/24 = 2/24
Fractions - multiplication • Multiply numerators and multiply denominators • Example • ¾ x 2/3 = 6/12 • 11/2 x 3/7 = 3/2 x 3/7 = 9/14
Fractions – division • Invert the divisor, then multiply the numerators and denominators • Examples • 7/8 ÷ 3/5 = 7/8 x 5/3 = 35/24 • Reduce answer to lowest terms 1 11/24 • 8/12 ÷ 3/7 =8/12 ÷ 7/3 = 56/36 • Reduce answer to lowest terms = 1 5/9
Decimals • A fraction with a denominator of 10, 100, 1000 or any multiple of 10 • The position of the number in relation to the decimal point indicates its value • Example • 8.0 vs 0.8 vs. 0.08
Decimal rules • Zeroes added AFTER (to the right) of the digit DO NOT change its value • Example 0.8 = 0.80000 • ALWAYS place a zero to the LEFT of the decimal point if there is not a number to go there • Example 0.8 NOT .8
Fraction to Decimal • Divide the numerator by the denominator • Example • 6/30 = 6 ÷ 30 = 0.2 • 3/57 = 3 ÷ 57 = 0.0526 ~ 0.053
Decimal to Fraction • Place the number in the numerator place • Make the denominator be 10 or a multiple of it • Reduce to lowest terms • Example • 0.93 = 93/100 • 5.03 = 5 3/100
Decimals - multiplying • When multiplying by a power of ten, move the decimal point as many places to the right as there are zeroes in the multiplier • Example • 12.2 x 100 = 1220.0 • 0.893 x 1000 = 893
Decimals - dividing • When dividing by a power of ten, move the decimal point to the left as many places as there are zeroes in the divisor • Example • 63.8 ÷ 100 = 0.638 • 0.008 ÷ 10 = 0.0008
Rounding • Do not change the number in tenths place, if the number in hundredths place is 4 or less • Increase the number in tenths place by 1 if the number in hundredths place is 5 or more • Example • 4.32 ~ 4.3 5.68 ~ 5.7