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Hesi A2 Math.
0 Degrees Celsius = ____ Degrees Fahrenheit - 32 100 Degrees Celsius = ____ Degrees Fahrenheit - 212 1 kilometer = ____ meters - 1000 1 meter = ____ centimeters - 100 cm 1 inch = ____ centimeters - 2.54 cm 1 mile = ____ feet - 5, 1 mile = ____ yards - 1, 1 yard = ____ feet - 3ft 1 foot = ____ inches - 12 in 1 liter = ____ milliliters - 1000 1 milliliter = ____ cubic centimeter - 1 1 gallon = ____ quarts - 4 1 gallon = ____ pints - 8 1 gallon = ____ ounces - 128 1 quart = ____ pints - 2 1 pint = ____ cups - 2 1 pint = ____ ounces - 16 ounces 1 ounce = ____ milliliters - 30 1 kilogram = ____ grams - 1000 1 gram = ____ milligrams - 1000 1 ton = ____ pounds - 2000 1 pound = ____ ounces - 16
1 pound = ____ kilograms - 2. Roman Numeral I = ____ - 1 Roman Numeral IV = ____ - 4 Roman Numeral V = ____ - 5 Roman Numeral IX = ____ - 9 Roman Numeral X = ____ - 10 Roman Numeral L = ___ - 50 Roman numeral XC= - 90 Roman Numeral XL = - 40 Roman Numeral LX = ____ - 60 Roman Numeral C = ____ - 100 Roman Numeral D = ____ - 500 CM= - 900 Roman Numeral M = ____ - 1000
V = - 5000
X = - 10,
L = - 50, __ C = - 100, __ D = - 500, __ M = - 1,000,000 1 million
Therefore, 3 Quarts = 96oz. There are 30 milliliters per oz., so 96 oz. = 2,880 milliliters There are 1000 milliliters per liter, so 2,880 mL = 2.88 Liters Or 1 Quart = 0.946 Liter *3= 2.838 = 2.88 L 35% to fraction - 35/100 = 7/ 1 foot = - 30.48 centimeters or 0.3048 meters 1 yard = - 0.914 meters 1 mile = - 1.609 kilometers 1 ounce = - 28.350 grams 1 pound = - 454 grams or .454 kilograms 1 fluid ounce = - 29.574 milliliters 1 Quart = - 0.946 liters 1 Gallon = - 3.785 liters 1 Pound = - 16 fluid ounces 10 kilograms is equivalent to how many pounds? - to convert kilograms to pounds, multiply 2.2 lbs/kilo. 10 * 2.2 = 22 How to convert Celsius to Fahrenheit? - Multiply Celsius by 1.8 & add 32. Ex. 30 Celsius * 1.8 + 32 = 86 Fahrenheit How to convert Fahrenheit to Celsius? - -Subtract Fahrenheit & Multiply by. Ex. (50 Fahrenheit - 32) * .5556 = 10 Celsius what is the reciprocal of 6? - 6/1 = 1/ In class the ratio of males to females is 4:5. If there are 36 total students, how many females are in the class? - Males= 4 Females= 5 Total= 9 How many times does 9 go into 36? 4. so multiply 4 by each male, female, and total.
male= 44= 16 female= 54= 20 total= 9*4= 36 A roast was cooked at 325 Fahrenheit in the oven for 4 hours. The internal temp. rose from 32 Fahrenheit to 145 Fahrenheit. What was the average rise in temperature per hour? - temp./hr = (145-32)Fahrenheit/4hrs. = 113F/4hrs = 28.25 F/hr Roman numerals - When a c is put before an m it means to subtract 100 for 1000 Example for Roman numeral - 1969 = 100 -> M 900 -> CM 60 -> LX 9 -> IX = MCMLXIX 1991 I'm Roman numerals - 1000 = M 900 = CM 90 = XC 1 = I = MCMXCI 2016 - 1000 = M 1000 = M 10 = X 6 = VI = MMXVI 0000 - 12:00am 0100 - 1:00am 0200 - 2:00am 0300 - 3:00am 0400 - 4:00am 0500 - 5:00am 0600 - 6:00am 0700 - 7:00am 0800 - 8:00am
multiplying & dividing with the same signs - the answer will be positive whether both signs are positive, or both signs are negative multiplying & dividing with different signs - the answer will be negative when multiplying or dividing different signs P E M D A S - in a math problem, the order of steps done from left to right starting with parenthesis, then exponents, multiplying & dividing, and adding & subtracting GCF - the largest number that can divide evenly into, and be shared by, two numbers (7 - 1, 7 & 21 - 1, 7, 3, 21: GCF = 7) LCD - the smallest multiple of a number that is shared by two numbers adding and subtracting fractions - Convert all fractions into numbers with common denominators by finding the LCD of each fraction. Once the denominators are the same, the numerators can be added or subtracted. mixed fraction - a number that is a whole number, and a fraction adding mixed fractions - first add the whole numbers, then add the fractions (apply common denominators if needed) subtracting mixed fractions - convert any mixed fractions to improper fractions, and subtract (apply common denominators if needed) improper fraction - a fraction in which the numerator is larger than the denominator mixed fraction to improper fraction - multiply the denominator by the whole number and add the numerator, keep the original denominator improper fraction to mixed fraction - divide the larger numerator by the smaller denominator; the quotient becomes the whole number, the remainder becomes the numerator, and the denominator stays the same. multiplying fractions - simple; top times top and bot times bot multiplying mixed fractions - convert any mixed fraction to an improper fractions, and multiply as usual (top times top & bot times bot) dividing fractions - don't ask why, invert the second fraction and multiply
dividing mixed fractions - convert any mixed fraction to an improper fraction, and divide as usual (invert the second fraction and multiply) percent formula - is/of = %/ percent change - amount of change divided by original amount, times 100 (amount of change/original amount * 100) percent increase - subtract old amount from new amount, divided by original amount times 100 ([new amount - old amount]/original amount * 100) percent decrease - subtract new amount from old amount, divided by original amount times 100 ([original amount - new amount]/original amount * 100) Amount increase or decrease - multiply original price times % mark up, or mark down (original price * percent mark up or mark down) original price equals - divide new price by whole amount minus % mark up, or mark down (new price/[whole - percent mark down or mark up]) finding ratio equivalents - cross multiply with given ratio and information ratios; finding the whole when a total is given - convert the ratio to a fraction by adding together the parts of the ratio, this sum is the whole and will be the denominator to the parts to cross multiply. (ratio 5:4 = 9; 4/9 and tot 90 is 4/9 = x/90; x = 40) direct proportion - two quantities that are directly proportional will increase or decrease in tandem. They change in the same direction. For direct proportions, solve by cross multiplying. inverse proportion - two quantities which are inversely proportional will change in opposite directions. As one increases, the other will decrease. For indirect proportions, examine the rates at which the two quantities change, then solve using a fractional equation. military time 0000 is - 12:00am, regular time military time 0100 is - 1:00am, regular time military time 1200 is - 12:00 noon, regular time
dividing decimals - Move the decimal to the right in the divisor, making it a whole number. Move the decimal the same number of places in the dividend and bring to the top in the quotient, then divide normally. (Example: 34/2.5 is 340.0/25.) percent to decimal - Move the decimal point two spaces away from the percent sign, [always 2 places left]. Drop the percent sign. When a decimal point is not visible, know that it is always located AFTER the last number in a whole number. (Example: 85.4% to a decimal = 0. 75% [decimal not visible] to a decimal = 0.75) fraction to decimal - Divide the numerator by the denominator, and add a decimal & two zeros after the number being divided. Top goes in the box, and bottom goes out. Round to the hundredths place for continuous numbers. (Example: 3/4 to a decimal is 3.00 divided by 4 = 0.75) decimal to fraction - This requires knowing the place value of the numbers in the decimal. Use the place value to make a fraction. Reduce when necessary. (Example: 0.9[10ths place] to a fraction is 9/10) decimal to percent - Move the decimal point to the right two places, [always 2 places right]. Add the percent sign behind the new number. (Example: 0.13 to a percent = 13% 0.002 to a percent = 0.2%) fraction to percent - divide the top number by the bottom number. then multiply the result by 100, and add the "%" sign. 1 quart = - 4 cups 1 gallon = - 8 pints 1 gallon = - 4 quarts 1 gallon = how many cups - 16 cups 1 year = how many weeks - 52 weeks (time) 1 centimeter (cm) = how many millimeters (mm) - 10 millimeters (length) 1 liter (L) = - 1000 milliliters comparison of rational numbers - to determine which of two fractions is greater than, less than, or equal; cross multiply and apply product to the numerator of the fraction. The greater number will be revealed.
perimeter formula - perimeter = width + width + length + length; to solve, all measurements must have the same units, and may require conversions area formula - area = length times width; to solve, all measurements must have the same units, and may require conversions interest (I) - interest = principle times rate, times time (I = prt) principle (p) - principle = interest divided by rate, times time (p = I/rt) rate (r) - rate = interest divided by principle, times time (r = I/pt) time (t) - time = interest divided by principle, times rate (t = I/pr) How many milliliters are in 1 ounce? - 30 mililiters 1/5 - .20 ,20% 3/4 - .75 ,75% 1/2 - .50, 50% 1/4 - .25 ,25% 3/5 - .60, 60% 4/5 - .80, 80% 1/8 - .125 ,12.5% 3/8 - .375 ,37.5% 1/3 - .333 ,33.3% 2/3 - .666, 66.6% Proportions - 2 ratios that have equal value Ex: 5/12 = 25/ Ex: 5:12::25: Solve the proportion
0' Celsius - 32' Fahrenheit (the freezing point of water) 100' Celsius - 212' Fahrenheit (the boiling point of water) LXXX - Roman Numeral for 80 Write 4% as a decimal. - Answer: 0. Explanation: 4% = 4/100 =0. Write 15% as a fraction. - Correct answer: 3/ Explanation: A fraction is always out of 100, so take the percentage and divide it by 100,,,,, 15% = 15/100 reduces to 3/ 20 = 0. Write 33 1/3% as a decimal. - Answer: 0. Explanation: 33 is our whole number, so we won't be doing anything with it, however the fraction 1/ needs to become a decimal. We can find the decimal by dividing 3 into 1 which goes 0.33 times. So our percentage is 33.33% which when divided by 100, or when we move the decimal place to the left two places we have....
12 is what percent of 40? - Correct answer: 30% Explanation: 12 = x divde both sides by 40 and you get.. 12/40 which reduces to 3/10, turn this into a decimal..=0.3 and multiply this by 100 to get 30% 50 is what percent of 300? - Correct answer: 17% Explanation: Again, here is our operating words, 50 is, or equals, what or x, percent of 300. so we have 50 = x (300),,, now divide both sides by 300 and reduce the fraction
50/300 and then multiply by 100 for a percent. 1/6 (100) = 16% Write 5/8 as a percent - Answer: 62.5% Explanation: First turn this into a decimal by dividing 8 into 5.= 0.2, then multiply this by 100 = 20 Write 9/11 as a percent. - Answer: 82% Explanation: Divide 11 into 9 to get 0.818 and multiply this by 100 to get about 81% or 81.8% Write 65 5/8 as a decimal. - Answer: 65. Explanation: A decimal is always a number smaller than one, so we can leave 65 as it is and just turn the fraction into a decimal., so our decimal becomes 65. Write 2 1/5 as a percent. - Correct answer: 220% Explanation: 2 and 1/5 in decimal form is 2.8, multiply this times 100 and we get 280% 85% of all the students have B's. What is the percentage that do not have B's, if the total number of students is 160. - Correct answer: 15% Explanation: This is a trick question. All you have to know is that everything is out of 100%, so if 85% is given, the balance is simply 15% Your stock current costs is $34.56 dollars per share. At the closing of the Dow, your stock went up 1/8%. How much is your stock worth now? - Correct answer: $34. Explanation: 1/8% is equal to 0.125/100 = 0.00125, now if we mulitply this times the stock value, we get 0.00432 and then we add this to our stock amount =0.0423 + 34. = 34.60. If 15% of all Americans are millionaires, how many Americans are not millionaires, if there are 245,000,000 Americans? - Correct answer: 208,250, Explanation: Remember 15% is the balance of 85%, which are the percentage of Americans that are not millionares. So just take 0.85 times the population. 280,250, According to the diet clinic Angie was diagnosed as being 15 pounds overweight for her body size. If Angie weighs 150 pounds, what percentage her weight needs to be lost? - Correct answer: 10% Explanation: The question here is,,,,,, 15 pounds is what % of 150 or....
10-7/100 - Correct answer: 0. Explanation: 10(-7-0) = 10-7 = 0. 0.00045/9 - Correct answer: 5 (10-5) Explanation: Use powers of 10 for the numerator and then divide. (45x10-5)/ 45/9 = 5 (10-5) 10,000/104 - Correct answer: 1 Explanation: Use exponents to solve this rather than long division. 104/104= 10(4-4) = 100 = 24,000,000/0.000012 - Answer: 2 x 1012 Explanation: Powers of 10 for both numerator and denominator 24 x 106/12 x 10- 24/12 = 2 10(6-(-6))= 2x (0.000034)-2 - Correct answer: 86.5x Explanation: What does the operation ask us to perform? (0.000034)-1 x (0.000034)- Simplify expression in parenthesis: (34x10-6)-1 x ( 34x10-6)-1 = 34-1x 34-1 x 10-6(-1) x 10-6(-1)= 34-2 x 1012 which is also the same as....... 1/342 = 1/1156 = 8.6505 x 10-4 or 0. now multiply this times 1012 and we get... moving the decimal point 12 places to the right. 8.6505 x 108
(0.000068)3 - Answer: 3.14x10- Explanation: Simplify the expression in parentheses first; (68 x 10-6) When raising an exponent to any power, multiply that power to each of the items powers in parenthesis. 683x10- Any time that there is a negative exponent, it indicates that the item is in the denominator, and the exponent then becomes positive 683/ 70% - Answer: 0. Explanation: Percentages always indicate a part out of 100. Therefore 70% is the same thing as saying 70/100 = 0. 0.055% - Correct answer: 0. Explanation: This is out of 100, so we can either perform long division of 0.055/100 or use the factor of 10 55x10-3(10-2) 55x10-
10-2=1/ 0.120 - Correct answer: 12% Explanation: To convert any number to a percent, always multiply by 100, or remember to move the decimal point two places to the right. 12% Convert to a percent; 0.0087 - Correct answer: 0.87% Explanation: Any time you are asked to change a number to a percent, simply multiply that numberr by 100 or find the decimal and move it two places to the right. Convert to a percent; 1.25 - Answer: 125% Explanation: Move the decimal point two places to the right, which is the same as multiplying by 100.
find the volume of a box 6in high, 6in wide, and 6in deep. - 216 cubic in v= L x W x H how many miles are there in 8km? 1mi=1.6km - 5 miles Hannah's hand span is 80 mm. How many centimeters is that? - 8cm Ron ran for 40 km. How many meters is that? - 40,000m The width of a tennis court is 11 m. How many centimeters is that? - 1,100cm what percent of 25 is 5? - x 25 = 5 so 5/25 which equals .20 or 20% the 18 students who received an A in a math class made up 30% of the students in the class. find the total number of students in the class. - 18/.30= x/.70 = 42 42 + 18 = 60 students Wally walks for 75,000 m. How many kilometers is that? - 75km convert 319% to a decimal - 3. On Monday, 3 students out of a class of 24 were absent from class. what percent of students were absent form class? - 3/24 = 12. convert 0.025 to a fraction in simplest form - 25/1000 which is the same thing as
now just reduce 25/ common denominator is 25 so equals 1/ If blank CDs cost 36 cents for two, how much does it cost to buy 10 blank CDs? - $1. If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale? - 71.6 F Lulu is 5 years younger than her sister, who is 7 years older than their 5 year old cousin. How old is Lulu? - 17 years old If a party planner assumes 2 bottles of sparkling water per 5 guests,how many bottles must she purchased for a party of 145? - 58
Ben is training for a marathon. If he starts running 4 miles a day in week 1 and adds 2 miles per run each week, in which week will he reach his goal of a 26-mile run? - Week 12 Stu purchased a set of 6 cups and 6 plates at a garage sale. The cups were 25 cents apiece, and the plates were 75 cents apiece. If Stu paid with a $10 bill, how much change was he owed? - $ Express 3.08 as a fraction in lowest terms. - 3²/ Rosie made $239.98 this week working at the student union. She put half into savings to help pay her tuition and board and then spent $65 on a textbook. How much did Rosie have left from her paycheck? $54. $64. $87. $184.99 - $54. Multiply: .012 * 0.15 =
1.8 - 0. Multiply two numbers with two digits to the right of the decimal point should result in a product with four digits to the right of the decimal point. However , the final digit, 0, is dropped off. . On the lot at Stafford Motors are 7 pickup trucks, 7 two-door automobiles, 28 four-door automobiles, and 14 SUVs. What percentage on the lot are SUVs? (Enter numeric value only. If rounding is necessary, round to the whole number.) - 25 You area asked to find the percentage of SUVs out of eh whole number of vehicles, so first you must addto find the number of vehicle in all:7 + 7+ +28 +14= 14 is 1/4 of 56 , so the percentage of SUVs is 25% In what numeric system does 101 name this amount: *****? Roman Arabic Decimal Binary - Binary There are 5 stars in our Arabic or decimal system if numbers. In the binary system , that would be 101 , where 1=1 four, 0=0 two's , and 1=1 one.
