HESI-Math Review2

10-3

Answer: 0.001 Explanation: The negative 3 indicates that the decimal is going to make the number smaller, so we move three places to the left.

Write 4% as a decimal.

Answer: 0.04 Explanation: 4% = 4/100 =0.04

70%

Answer: 0.70 Explanation: Percentages always indicate a part out of 100. Therefore 70% is the same thing as saying 70/100 = 0.70

10-7/100

Correct answer: 0.0000001 Explanation: 10(-7-0) = 10-7 = 0.0000001

0.055%

Correct answer: 0.00055 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) 55x10-5 0.00055 10-2=1/100

Write 33 1/3% as a decimal.

Answer: 0.3333 Explanation: 33 is our whole number, so we won't be doing anything with it, however the fraction 1/3 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.... 0.3333

Sarah traveled 2/7 of her total trip of 400 miles. How far did Sarah travel?

Answer: 114.3miles Explanation: The operating word is the word "of", so turn 2/7 into a decimal which is 0.285 and multiply this times the number of miles she traveled. 0.285 (400)=114.2, the answer on the test will probably be rounded to the nearest mile which would make it 114 miles

13% of $900.00 is what?

Answer: 117 Explanation: 0.13 (900)= x = 117

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. 125%

24,000,000/0.000012

Answer: 2 x 1012 Explanation: Powers of 10 for both numerator and denominator 24 x 106/12 x 10-6 24/12 = 2 10(6-(-6))=1012 2x1012

What is 30% of 70?

Answer: 21 Explanation: When you are given this type of problem be sure to read the operating words,.. x =0.30 (70), this equation is the translation of the above statement. answer 21

(0.000068)3

Answer: 3.14x10-13 Explanation: Simplify the expression in parentheses first; (68 x 10-6)3 When raising an exponent to any power, multiply that power to each of the items powers in parenthesis. 683x10-18 Any time that there is a negative exponent, it indicates that the item is in the denominator, and the exponent then becomes positive 683/1018

12/13 of 40 is what percent?

Answer: 36.9% Explanation: The word, "of" idicates the operation of multiplication., therefore change 12/13 into a decimal and multiply,,, 0.92 (40) = 36.9 , now if we divide this by 40 and multiply by 100 we get 92.3%

0.5% of $1000 is what?

Answer: 5 Explanation: You must first turn the percentage into a decimal then multiply. so 0.5% implies to divide this by 100 or 0.5/100 = 0.005 (1000) =5

25 is what percent of 40?

Answer: 62.5% Explanation: This is a word problem; look at the main operating words. 25 is(=) what (x)40 so we have as our proble 25 = x40, now solve for x by dividing both sides of the equation by 40, 25/40 = x, now reduce your fraction... 5/8 , turn this into a decimal and multipy by 100. =62.5%

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 65 5/8 as a decimal.

Answer: 65.625 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 65.625

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%

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: $34.60 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 + 34.56 = 34.60.

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.

10,000/104

Correct answer: 1 Explanation: Use exponents to solve this rather than long division. 104/104= 10(4-4) = 100 =1

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.... 15 = x 150,, so we divide both sides of the equation by 150 to get 30 percent. Did you remember to mulitply by 100 to get your perecent?

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%

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%

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%

John walked ¾ the distance of Bob. If Bob walked 3 ¼ miles, how far did John walk?

Correct answer: 2 and 7/16 of a mile Explanation: 1. 2 and 7/16 of a mile 2. 3 miles 3. 2.5 miles Solution; Take ¾ of 3 ¼. The word "of" means to multiply. ¾(3 ¼) ¾ (13/4) Numerator multiples numerator and denominator multiples denominator. 39/16 This is an improper fraction which needs to be made into a mixed numeral. John walked 2 and 7/16 of a mile

If 15% of all Americans are millionaires, how many Americans are not millionaires, if there are 245,000,000 Americans?

Correct answer: 208,250,000 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. 280,250,000

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%

Write 2.5 as a percent.

Correct answer: 250% Explanation: 250%, any time you are asked to turn a number into a percent, just mulitply that number by 100 and put your percentage sign.

Write 15% as a fraction.

Correct answer: 3/20 Explanation: A fraction is always out of 100, so take the percentage and divide it by 100,,,,, 15% = 15/100 reduces to 3/ 20 = 0.15

12 is what percent of 40?

Correct answer: 30% Explanation: 12 = x40 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%

0.00078/0.00002

Correct answer: 39 Explanation: Turn the numerator and denominator into a factor of 10. 78 x 10 -5 ÷ 2.0 x10-5 Divide 2 into 78 = 39 Subtract the numerator exponent from the denominator exponent: 10 (-5 -(-5)) = 100 = 1 39x1 =39

0.00045/9

Correct answer: 5 (10-5) Explanation: Use powers of 10 for the numerator and then divide. (45x10-5)/9 45/9 = 5 (10-5)

Place in order of greatest to least. 3/4, 7/8, 9/11

Correct answer: 7/8, 9/11, 3/4 Explanation: First try to reduce any to lowest terms. Then find a common denominator for all and convert each fraction to an equivaltent fraction. The common denominator is 352. 264/352, 308/352, 288/352 these would then be ordered from greatest to least. 7/8>9/11>3/4

(0.000034)-2

Correct answer: 86.5x107 Explanation: What does the operation ask us to perform? (0.000034)-1 x (0.000034)-1 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 0.00086505 now multiply this times 1012 and we get... moving the decimal point 12 places to the right. 8.6505 x 108