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HESI A2 > Mathematics > Flashcards

Mathematics Flashcards

1
Q

Write the following quantity, 1 kilojoule (kj) to the power of tens.

A

10^3 J

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2
Q

The quotient of y and -25 is -100; find the value of y.

A

2500- the quotient stands for the product of division.
What divided by -25 is equal to -100
Two quotations represent the dots of division (personal hint)

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3
Q

Dividend is:

A

The number being divided

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4
Q

The number by which the dividend is divided:

A

Divisor

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5
Q

The answer to a division problem:

A

Quotient

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6
Q

The portion of the dividend that is not evenly divisible by the divisor:

A

Remainder

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7
Q

Place values are written on which side of the decimal?

A

To the left

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8
Q

Write the decimal in word form: 5.7

A

five “and” seven tenths

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9
Q

When multiplying decimals, what determines the decimal point in the answer?

A

Add how many decimal points are present in the initial equation. Ex: 2.1 x 75.7. Multiply 21 x 757 = 15,897. There are two place values in total from each number. This would make the decimal place move two places to the left from the total. EX: 75.7 X 2.1 = 158.97

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10
Q

Are decimals displayed after a whole number?

A

Not unless specified by the question.

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11
Q

34 / 2.5 =

A

2.5 will go outside of the box. Make 2.5 a whole number by moving the decimal to the right one time. What is done to one side must be done to the other, so move the decimal one spot to the right for 34 (dividend). The new equation is 340/25. This will make the answer 13.6.
The key is that only the dividend (the outside number) needs to be a whole number by moving the decimal place.

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12
Q

The line between the numerator and the denominator, symbolizing division.

A

Fraction bar

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13
Q

A number that divides evenly into another number

A

Factor

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14
Q

The smallest multiple that two numbers share.

A

Least Common Denominator

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15
Q

A fraction where the numerator is larger than the denominator

A

Improper fraction

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16
Q

A fraction where the denominator is larger than the numberator

A

Proper fraction

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17
Q

Two or more fractions having the same denominator

A

Common denominator

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18
Q

Pairs of numbers that equal 1 when multiplied together.

A

Reciprocals

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19
Q

A decimal that is not continuous

A

Terminating decimal

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20
Q

What are the factors of 12?

A

1, 2, 3, 4, 6, 12: Listing the factors can help reduce fractions by their greatest common factor.

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21
Q

Find the least common denominator for 3/4 and 7/9.

A

Answer: 36

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22
Q

How is an improper fraction reduced? EX: 17/5

A

By making it a mixed number: 3 2/5

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23
Q

Add 1/5 + 7/10 =

A

Make the denominators of each fraction a common denominator. Then add the numerators, leaving the denominator the same.

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24
Q

Add 1 1/4 + 2 8/10

A

First make the fractions have common denominators: 1 5/20 + 2 16/20. Add the whole numbers and the numerators, leaving the common denominators the same. 3 21/20. Then reduce. 4 1/20

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25
Q

Should the quotient of fraction addition and subtraction problems always be reduced?

A

Yes

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26
Q

5 2/3 - 3 4/5 =

A

Make the common denominators the same, leaving the whole number as it is. 5 10/15 - 3 12/15. To make the number being subtracted from bigger than the number being subtracted, barrow from the whole number. 10/15 + 15/15 = 25/15. The final equation will be: 4 25/15 - 3 12/15 = 1 13/15.

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27
Q

4/5 x 1/2 =

A

4/10> Reduce 2/5

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28
Q

1/2 / 3/8=

A

Inverse the second fraction and multiply. 1/2 x 8/3 = 8/6 = 4/3 = 1 1/3. May not have to reduce or make into a whole number unless specified by the equation

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28
Q

2 1/8 x 7 5/6 =

A

Make each mixed number into an improper fraction. Then multiply. Then revert answer back into a mixed number. Then reduce.
17/8 x 47/6 = 799/48 = 16 31/48

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29
Q

1 5/6 / 3/4 =

A

Make mixed number an improper fraction. 11/6 / 3/4. Inverse second fraction and multiply: 11/6 x 4/3 = 44/18. Reduce. 22/9. Make into a mixed number. 2 4/9

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30
Q

What is the saying for how to change fractions to decimals?

A

“Top goes in the box, the bottom goes out”. Numerator is the dividend. Denominator is the divisor.

31
Q

If the decimal does not terminate, what should be done?

A

Continue to the thousandths place, then round to the nearest hundredths place. EX: 7.8666 > 7.87. If numbers terminate in the thousandths place, then leave decimals to the thousandths unless specified in the equation.

32
Q

Change 2 3/5 to a decimal.

A

Leave the 2 out and divide 3 by 5. =0.60. Then add the whole number to the decimal: 2.6.

33
Q

Change 3.055 into a fraction.

A

3 55/1000> Reduce: 3 11/200

34
Q

A relationship between two numbers:

A

A ratio

35
Q

Two ratios that have equal values:

A

Proportion

36
Q

List all the ways that ratios can be written (3).

A

Fraction: 5/12
Colon: 5:12
Words: 5 to 12

37
Q

List the two ways proportions can be written:

A

5/12 = 25/60

OR with a colon: 5:12 : 25:60

38
Q

Change the decimal to a ratio.: 0.025

A

Change to a fraction, reduce, then transfer fraction to a colon: 0.025> 25/1000 > 1/40 > 1:40

39
Q

Solve the proportion (find the value of x). x:63 :: 24:72

A

Change both numbers to fractions: x/63 = 24/72. Multiply diagonal numbers: 1512 = 72 x. Divide by 72 to get x by itself: 1,512 / 72 = 21. x = 21

40
Q

What is 68% of 45?

A

Write out the problem: x/45 = 68/100. Cross multiply: 3,060 = 100 x. Divide to get x by itself: 30.6%

41
Q

18 is 50% of what number?

A

Write out the problem: 18/x = 50/100. Cross multiply: 50x = 1,800. Divide to get x: 36.

42
Q

A letter representing an unknown quantity (i.e., x).

A

Variable

43
Q

A number that cannot change

A

Constant

44
Q

A mathematical sentence containing constants and variables (i.e., 3x-2).

A

Expression

45
Q

mnemonic for the order of operations:

A

“Please excuse my dear aunt sally”. Parentheses> exponents> multiplication> division> addition> subtraction

46
Q

Roman number L =

A

50

47
Q

Roman numeral C:

A

100

48
Q

Roman numeral D:

A

500

49
Q

Roman numeral M

A

1,000

50
Q

All roman numerals with a line on top = ex: v with a line on top

A

5,000 (multiply all roman numerals by 1000 if a line is on top).

51
Q

Write 2012 in roman numeral:

A

MMXII

52
Q

How to change Celsius (C) to Fahrenheit:

A

Multiply C by 9/5 and add 32.

53
Q

What is the boiling point of water?

A

100 C or 212 F

54
Q

Changing F to Celcius

A

Fahrenheit - 32. multiply by 5/9

55
Q

1 kilometer is how many meters?

A

1000

56
Q

1 meter is how many centemeters?

A

100

57
Q

1 centimeter is how many millimeters?

A

10

58
Q

How many centimeters in 1 inch?

A

2.54

59
Q

How many yards in a mile?

A

1,760

60
Q

How many feet in 1 yard?

A

3

61
Q

How many milliliters in 1 liter?

A

1000

62
Q

How many mL in 1 cubic centimeter?

A

1

63
Q

Quarts in a gallon?

A

4

64
Q

Ounces in a gallon

A

128

65
Q

pints in 1 quart?

A

2

66
Q

cups in 1 pint?

A

2

67
Q

ounces in 1 cup?

A

8

68
Q

milliliters (cubic centimeters) in 1 ounce?

A

30

69
Q

Grams in 1 kilogram?

A

1,000

70
Q

Milligrams in 1 gram?

A

1,000

71
Q

pounds in 1 ton?

A

2,000

72
Q

ounces in 1 pound?

A

16

73
Q

pound in 1 kilogram?

A

2.2

74
Q
A

HESI A2 (8 decks)

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