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Mathematics Flashcards

30 cards from real ATI practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 20 Mathematics flashcards as text
  1. Ratio and proportion: 0.5:20:: x:200

    Answer: x= 5

    To solve a ratio and proportion problem like 0.5:20::x:200, you can set it up as a fraction: 0.5/20 = x/200. Cross-multiply to solve for x: 0.5 * 200 = 20 * x. This simplifies to 100 = 20x, and dividing both sides by 20 yields x = 5.

  2. Change 66\/4 to a decimal

    Answer: 16.5

    To convert a fraction to a decimal, you simply divide the numerator by the denominator. For the fraction 66/4, divide 66 by 4. Performing this division results in 16.5.

  3. Which is the largest decimal?

    Answer: 0.68

    To determine the largest decimal, compare the numbers digit by digit from left to right, starting after the decimal point. It's helpful to add trailing zeros so all numbers have the same number of decimal places for an easier comparison. Comparing 0.0688, 0.6670, 0.6800, and 0.6000, 0.68 has the largest value in the hundredths place (8), making it the largest decimal among the options.

  4. Convert the metric equivalent: 8,500 grams equals x kg. (Enter numerical value only).

    Answer: 8.5 kilograms

    To convert grams to kilograms, you need to know that 1 kilogram (kg) is equal to 1,000 grams (g). Therefore, to convert 8,500 grams to kilograms, you divide 8,500 by 1,000. This calculation results in 8.5 kilograms.

  5. Convert the fraction into decimals 7\/4=175% (Enter numerical value only).

    Answer: 1.75

    To convert a fraction to a decimal, divide the numerator by the denominator. For the fraction 7/4, divide 7 by 4. The result of this division is 1.75. (The 175% is the decimal multiplied by 100, indicating the percentage equivalent).

  6. \tHow many milliliters are contained in 3 table spoons of fluid? (Enter numerical value only).

    Answer: 45 milliliters

    To convert tablespoons to milliliters, you use the standard conversion factor where 1 tablespoon (tbsp) is equal to 15 milliliters (ml). Therefore, to find the milliliters in 3 tablespoons, you multiply 3 by 15. This calculation yields 45 milliliters.

  7. Solve for x:\t5:50:: x:500

    Answer: 50

    To solve a ratio and proportion problem like 5:50::x:500, you can set it up as a fraction: 5/50 = x/500. Cross-multiply to solve for x: 5 * 500 = 50 * x. This simplifies to 2500 = 50x, and dividing both sides by 50 yields x = 50.

  8. \tConvert 2\/3 to a decimal

    Answer: 0.6666 (repeating)

    To convert a fraction to a decimal, divide the numerator by the denominator. For the fraction 2/3, divide 2 by 3. This division results in a repeating decimal, 0.6666..., where the 6 continues infinitely.

  9. Subtract 2\/ − 6\/ (Enter numerical value only).

    Answer: 2 17\/21

    The question 'Subtract 2/ - 6/' is incomplete, but assuming it refers to a subtraction of mixed numbers that results in 2 17/21, the general process involves finding a common denominator for the fractions, converting mixed numbers to improper fractions if necessary for borrowing, and then subtracting the numerators and whole numbers. For example, if the problem was 6 1/7 - 3 1/3, you would convert to 6 3/21 - 3 7/21, then borrow to get 5 24/21 - 3 7/21, resulting in 2 17/21.

  10. How many pints are in 80 ounces?

    Answer: 5 pints

    To convert ounces to pints, you need to know that 1 pint (pt) is equal to 16 ounces (oz). Therefore, to find how many pints are in 80 ounces, you divide the total ounces by the number of ounces per pint. This calculation is 80 ÷ 16, which equals 5 pints.

  11. There are 200 ounces in 6 liters. How many milliliters (ml) are in 6 liters? (Enter numerical value only).

    Answer: 6,000 milliliters

    To convert liters to milliliters, you use the standard conversion factor where 1 liter (L) is equal to 1,000 milliliters (ml). Therefore, to find the milliliters in 6 liters, you multiply 6 by 1,000. This calculation yields 6,000 milliliters.

  12. How many gallons are in 576 ounces?

    Answer: 4.5 gallons

    To convert ounces to gallons, you need to know that 1 gallon is equal to 128 ounces (since 1 gallon = 4 quarts, 1 quart = 2 pints, and 1 pint = 16 ounces, so 4 * 2 * 16 = 128 ounces). To find how many gallons are in 576 ounces, divide 576 by 128. This calculation results in 4.5 gallons.

  13. How many ounces are in 8 1\/4 pints?

    Answer: 132 oz

    To convert pints to ounces, you use the standard conversion factor where 1 pint (pt) is equal to 16 ounces (oz). First, convert the mixed number 8 1/4 pints to a decimal or improper fraction (8.25 pints). Then, multiply 8.25 by 16 to find the total number of ounces. This calculation yields 132 ounces.

  14. Multiply 1.25 x 2.0

    Answer: 2.50

    To multiply decimals, perform the multiplication as you would with whole numbers, ignoring the decimal points initially. Then, count the total number of decimal places in the numbers being multiplied and place the decimal point in the product so it has that same total number of decimal places. For 1.25 x 2.0, multiply 125 by 2 to get 250. Since 1.25 has two decimal places and 2.0 has one, the product needs three decimal places, resulting in 2.500, which simplifies to 2.50.

  15. Add 4\/5 + 3\/15 (reduced to lowest terms)

    Answer: 1

    To add fractions, they must have a common denominator. For 4/5 + 3/15, the least common denominator is 15. Convert 4/5 to an equivalent fraction with a denominator of 15 by multiplying both the numerator and denominator by 3, which gives 12/15. Now add the fractions: 12/15 + 3/15 = 15/15. Finally, reduce the fraction to its lowest terms, which is 1.

  16. How far does a runner run (in kilometers) in a 1,000 meter race?

    Answer: 1 km

    To convert meters to kilometers, you need to know that 1 kilometer (km) is equal to 1,000 meters (m). Therefore, to find how many kilometers are in a 1,000-meter race, you divide 1,000 by 1,000. This calculation results in 1 kilometer.

  17. Henry was able to help 4 out of 9 of students that requested help in the math lab and Michelle helped 45% of the total students who asked for help. Who helped more students, Henry or Michelle?

    Answer: Michelle

    To compare who helped more students, convert Henry's fraction to a percentage. Henry helped 4 out of 9 students, which is 4 ÷ 9 ≈ 0.4444, or approximately 44.4%. Michelle helped 45% of the students. Comparing 44.4% to 45%, Michelle helped a slightly higher percentage of students.

  18. 27 students attended a HESI session in the Math Lab if 8 out of 11 were females, how many were male? (Round to a whole number)

    Answer: 7 males

    First, determine the proportion of male students. If 8 out of 11 students were females, then 11 - 8 = 3 out of 11 students were males. To find the number of male students, multiply this proportion by the total number of students: (3/11) * 27. This calculation yields 81/11, which is approximately 7.36. Rounding to the nearest whole number, there were 7 male students.

  19. 3 gallons is equal to how many ounces?

    Answer: 384 ounces

    To convert gallons to ounces, you need to know that 1 gallon is equal to 128 ounces (since 1 gallon = 4 quarts, 1 quart = 2 pints, and 1 pint = 16 ounces, so 4 * 2 * 16 = 128 ounces). Therefore, to find how many ounces are in 3 gallons, you multiply 3 by 128. This calculation results in 384 ounces.

  20. 45.\t5 1\/2 divide by 2 1\/2

    Answer: 2 1\/5

    To divide mixed numbers, first convert them into improper fractions. 5 1/2 becomes 11/2, and 2 1/2 becomes 5/2. Then, multiply the first fraction by the reciprocal of the second fraction: (11/2) * (2/5). The 2s cancel out, leaving 11/5. Finally, convert the improper fraction back to a mixed number: 11 divided by 5 is 2 with a remainder of 1, so the answer is 2 1/5.