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### 54 Cards in this Set

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 The term percent % means % means one hundreths % is the same as a ... fraction denominator is 100 numerator is that part EX 4% = 4 / 100 what is the power of nines and what is it used for? also, what does fdr stand for? burn areas of the body powers of nine relates to the body in parts that = 100 % fdr stands for: fractions / decimals . ratios : what does B S A mean body surface area different in children than adults b/c proportions are different. intravenous solutions are ordered in what? percentage strengths EX 1000 mL/cc 5% dextrose&water 1,000 mL IV of 5% dextrose & water contains ? grams of dextrose? 1,000 mL = 1,000 grams 1,000 X .05 = 50 grams dextrose 250 mL IV of 10% dextrose contains ? grams of dextrose? 250 X .1 = 25 grams dextrose To change percentages to: fractions decimals ratios drop the % sign and ... place the number over 100 and reduce to lowest terms change 8% to a fraction 8% = 8/100 = 4/50 = 2/25 change 1/4% to a fraction T R I C K Y 1/4/100 = 1/4 X 1/100 = 1/400 1% = what fraction ? 1/100 2% = what fraction ? 2/100 = 1/50 50% = what fraction ? 50/100 = 5/10 = 1/2 80% = what fraction? 80/100 = 8/10 = 4/5 3% = what fraction? 3/100 to change a % to a decimal, drop the % sign, and move the deimal ... ? move the decimal point two places to the left (add zeroes as needed) 25% = what in a decimal? 25 and move the decimal two over to the left = 0.25 1.4% = what in a decimal? 1.4 and move the decimal two over to 0.014 75% = what in a decimal? .75 another way, 75/100 = 3/4 4√3.00 = 0.75 10% change to a decimal 10 % = .1 35% = what as a decimal? 35% = 0.35 1/4% is what as a decimal? TRICKY 1/4% to a decimal = 4√1.000 = .25% .25% = 0.0025 To change a % to a ratio ... ? to change the % to a ratio change it to a fraction, reduce to smalles terms, place numerator as 1st term & denominator as 2nd term use a colon to seperate the 2 EX 10% = (fraction) 10/100 10/100 = 1/10 = 1:10 what is 25% as a ratio? 25 / 100 = 1/4 = 1:4 what is 11% as a ratio? 11% as a ratio = 11/100 11:100 75% is what as a ratio? 75/100 = 3/4 = 3:4 4.5% is what as a ratio? 4.5/100 = 4.5 : 100 = 9 : 200 2/5% is what as a ratio? 2/5 / 100 = 2/5 ∙ 1/100 = 2/500 = 1/250 = 1:250 how do you change a fraction to a % ? multiply the fraction by 100 reduce it add % sign EX 3/4 to % = 3/4 ∙ 100/1 = 300/4 = 75/1 = 75% change 5 1/2 to a percent 5 1/2 = 5∙2=10+1=11 so 11/2 11/2 ∙ 100/1 = 1,100/2 = 550/1 = 550% change 2/5 from a fraction to a % 2/5 ∙ 100/1 = 200/5 = 40% change 11/4 from a fraction to a % 11/4 ∙ 100/1 = 1100/4 = 275% 1/2 change this fraction to a percentage 1/2 ∙ 100/1 = 100/2 = 50% 7/10 change to a % 7/10 ∙ 100/1 = 700/10 = 70% instead of changing fractions to a %, change a DECIMAL to a % to change a decimal to a %, move the decimal point ... two places to the right (multiply), add zeroes if necessary, and add % sign Ex ▲ 0.45 to % = 45% change 2.35 to a % 2.35 to a % 235% To change a ratio to a % 1)change the ratio to a fraction 2) proceed w/ steps to change a fraction to % EX 1:4 1) ▲ 1:4 to a fraction=1/4 2) 1/4 ∙ 100/1 = 100/4=50/2=25% change 1:25 to a % 1:25 = 1/25 1/25 ∙ 100/1 = 100/25 = 4% change 3:4 to a fraction 3:4 = 3/4 3/4 ∙ 100/1 = 300/4= 150/2=75% change 1:10 to a % 1:10 = 1/10 1/10 ∙ 100/1 = 100/10 = 10% change the ratio 1:100 to a % 1:100 = 1/100 1/100 ∙ 100/1 = 100/100 = 1% Determine the % of a quanity! Nurses need to determine a given % or part of a quanity! when determining a given % of a number, do 2 things ... ? 1) change the % to a decimal or fraction ( ▲ % to . or / ) 2) multiply the decimal or fraction by the number ( X . or / by the # ) Ex a patient says he drank 25% of his 8 oz. cup of tea. Determine what amount 25% is of 8 oz.s ! 1) 25% = .25 2) .25 X 8 = 2 oz.s Therefore, 25% of 8 oz.s=2 oz. what is 40% of 90 ? 40% = .4 .4 X 90 = 36 and that's it! Determine the % one number is of another ! Ex. 12 is what % of 60? 1) make it a fraction 12/60 2) 60√12.00 = 0.2 & 0.2 = 20% Therefore 12 is 20% of 60 OR 20% of 60 = 12 what is 60% of 30 1) 60% = .6 2) .6 X 30 = 18.0 what is 20% of 75? 20% = .2 .2 ∙ 75 = 15.0 2 is what % of 200? razzle dazzle here 2/200 = 1/100 100√1.000 = .01 .01 move dec over 2 = 1% 50 is what % of 500? 50/500= 5/50= 1/10 10√1.000 = .1 = 10% 40 is what % of 1,000? 40/1000 = 4/100 = 2/50 = 1/25 25√1.000 = .04 = 4% whats the difference between a ratio and a proportion? ratio is used to indicate a relationship b/t 2 numbers are seperated by a colon : a proportion is an EQUATION of 2 ratios of equal value Ex 3:4 = 6:8 these can be seperated by an equal sign = or another colon sign :: 3:4 :: 6:8 These proportions can be written like fractions Ex 3/4 = 6/8 read it as 3 is to 4 equals 6 is to 8 or 3 is to 4 as 6 is to 8 or three fourths equals six eighths what do means and extremes mean in a proportion? means are the middle terms extremes are the end terms 5:25::10:50 25 & 10 = means 5 & 50 = extremes means always equal what in a proportion? means always equals the extremes in a correct proportion Ex 5(extreme) 10(mean) ---------- = ----------- 25(mean) 50(extreme) so the product of the means equals the product of the extremes AND if 3 of these numbers are known... you can figure the 4th number, call it solve for X Ex 12:9 = 8:X 12X = 72 X = 72/12 X = 6 This concept goes into fractions, decimals, etc. Ex 25:5 = 1.5:X remember this!!! X completes the exact equvialent! 1/5 : 1 = 1/2 : x solve: 1/2 x 1 = 1/5 x X 1/2 = 1/5X x = 1/2 ÷ 1/5 x = 5/2 = 2 1/2 or 2.5 to prove, plug x back into equation 1/2 = 1/2