Fractions, Decimals & Percentages Flashcards

Cartes de ce paquet

1. Carte 1

   Question

   In a fraction of one whole, what does the denominator count?

   Réponse

   The equal parts that make one whole. In 3/7, the whole is divided into seven equal parts.

2. Carte 2

   Question

   What does percent mean?

   Réponse

   Per hundred. A percentage compares an amount with 100 equal parts of the reference whole.

3. Carte 3

   Question

   In 0.6, what place does the digit 6 occupy?

   Réponse

   The tenths place. Its value is 6/10.

4. Carte 4

   Question

   How do you reduce a fraction to simplest form?

   Réponse

   Divide its numerator and denominator by their greatest common factor. The fraction keeps the same value.

5. Carte 5

   Question

   Fraction → decimal: which division do you calculate?

   Réponse

   Numerator ÷ denominator. The denominator must be nonzero.

6. Carte 6

   Question

   How do you turn a terminating decimal into a fraction?

   Réponse

   Use place value: write the digits over 10, 100, 1,000, and so on, then simplify. For example, 0.032 = 32/1,000 = 4/125.

7. Carte 7

   Question

   In 3/7 of one whole, what does the numerator count?

   Réponse

   Three of the seven equal parts.

8. Carte 8

   Question

   Percent → decimal: what do you do with the number before %?

   Réponse

   Divide it by 100 and remove the % sign.

9. Carte 9

   Question

   Does writing 0.60 instead of 0.6 change the numerical value?

   Réponse

   No. Both equal six tenths. A trailing zero after the decimal does not change the value.

10. Carte 10

    Question

    What does the mixed number 2 3/5 mean?

    Réponse

    2 + 3/5. The space joins a whole-number part and a fractional part; it does not mean multiplication.

11. Carte 11

    Question

    Fraction → percent: how do you find the number before %?

    Réponse

    Divide the numerator by the denominator, then multiply the result by 100. Attach the % sign to that number.

12. Carte 12

    Question

    Decimal → percent: how do you find the number before %?

    Réponse

    Multiply the decimal by 100, then attach the % sign.

13. Carte 13

    Question

    In 0.47, what is the value of the digit 7?

    Réponse

    7/100, or 0.07. The 7 is in the hundredths place.

14. Carte 14

    Question

    Percent → fraction: what denominator does % supply?

    Réponse

    100

    Put the number before % over 100. If the numerator has a decimal, multiply both parts by the same power of 10 to get integers, then simplify.

15. Carte 15

    Question

    1/2 as a decimal?

    Réponse

    0.5. One divided by two is five tenths.

16. Carte 16

    Question

    1/5 as a percentage?

    Réponse

    20%. Multiply numerator and denominator by 20 to get 20/100.

17. Carte 17

    Question

    3/4 as a decimal?

    Réponse

    0.75. Three divided by four is seventy-five hundredths.

18. Carte 18

    Question

    1/10 as a percentage?

    Réponse

    10%. One tenth is ten hundredths.

19. Carte 19

    Question

    1/4 as a percentage?

    Réponse

    25%. Four equal quarters each account for 25 out of 100.

20. Carte 20

    Question

    50% as a fraction in simplest form?

    Réponse

    1/2. Reduce 50/100 by dividing both parts by 50.

21. Carte 21

    Question

    3/5 as a decimal?

    Réponse

    0.6. Multiply both parts by 2: 3/5 = 6/10.

22. Carte 22

    Question

    0.2 as a fraction in simplest form?

    Réponse

    1/5. Reduce 2/10 by dividing both parts by 2.

23. Carte 23

    Question

    1/8 as a decimal?

    Réponse

    0.125. One divided by eight terminates after three decimal places.

24. Carte 24

    Question

    75% as a fraction in simplest form?

    Réponse

    3/4. Reduce 75/100 by dividing both parts by 25.

25. Carte 25

    Question

    4/5 as a percentage?

    Réponse

    80%. Each fifth is 20%, so four fifths is 80%.

26. Carte 26

    Question

    0.1 as a fraction in simplest form?

    Réponse

    1/10. The 1 is in the tenths place.

27. Carte 27

    Question

    1/20 as a decimal?

    Réponse

    0.05. Multiply both parts by 5: 1/20 = 5/100.

28. Carte 28

    Question

    0.25 as a fraction in simplest form?

    Réponse

    1/4. Reduce 25/100 by dividing both parts by 25.

29. Carte 29

    Question

    60% as a fraction in simplest form?

    Réponse

    3/5. Reduce 60/100 by dividing both parts by 20.

30. Carte 30

    Question

    5/8 as a percentage?

    Réponse

    62.5%. First divide: 5 ÷ 8 = 0.625. Then multiply by 100.

31. Carte 31

    Question

    12.5% as a fraction in simplest form?

    Réponse

    1/8. Write 12.5/100 = 125/1,000, then simplify.

32. Carte 32

    Question

    3/8 as a decimal?

    Réponse

    0.375. Three divided by eight is 375 thousandths.

33. Carte 33

    Question

    0.8 as a fraction in simplest form?

    Réponse

    4/5. Reduce 8/10 by dividing both parts by 2.

34. Carte 34

    Question

    1/25 as a percentage?

    Réponse

    4%. Multiply numerator and denominator by 4 to get 4/100.

35. Carte 35

    Question

    5% as a fraction in simplest form?

    Réponse

    1/20. Reduce 5/100 by dividing both parts by 5.

36. Carte 36

    Question

    2/5 as a decimal?

    Réponse

    0.4. Multiply both parts by 2: 2/5 = 4/10.

37. Carte 37

    Question

    0.625 as a fraction in simplest form?

    Réponse

    5/8. Reduce 625/1,000 by dividing both parts by 125.

38. Carte 38

    Question

    7/8 as a percentage?

    Réponse

    87.5%. First divide: 7 ÷ 8 = 0.875. Then multiply by 100.

39. Carte 39

    Question

    37.5% as a fraction in simplest form?

    Réponse

    3/8. Write 37.5/100 = 375/1,000, then simplify.

40. Carte 40

    Question

    3/20 as a decimal?

    Réponse

    0.15. Multiply both parts by 5: 3/20 = 15/100.

41. Carte 41

    Question

    0.04 as a fraction in simplest form?

    Réponse

    1/25. Reduce 4/100 by dividing both parts by 4.

42. Carte 42

    Question

    40% as a fraction in simplest form?

    Réponse

    2/5. Reduce 40/100 by dividing both parts by 20.

43. Carte 43

    Question

    0.875 as a fraction in simplest form?

    Réponse

    7/8. Reduce 875/1,000 by dividing both parts by 125.

44. Carte 44

    Question

    15% as a fraction in simplest form?

    Réponse

    3/20. Reduce 15/100 by dividing both parts by 5.

45. Carte 45

    Question

    5/4 as a decimal?

    Réponse

    1.25. One whole plus one quarter is 1 + 0.25.

46. Carte 46

    Question

    0.6% as a decimal?

    Réponse

    0.006. Divide 0.6 by 100; a percentage below 1% is below 0.01 as a decimal.

47. Carte 47

    Question

    What distinguishes a repeating decimal from a terminating decimal?

    Réponse

    A repeating decimal continues with a fixed digit or block of digits repeating forever, such as 0.272727… . A terminating decimal can be written with finitely many decimal places.

48. Carte 48

    Question

    2.5 as a percentage?

    Réponse

    250%. Multiply 2.5 by 100 and attach %.

49. Carte 49

    Question

    0% as a decimal?

    Réponse

    0

    Zero divided by 100 is zero.

50. Carte 50

    Question

    1/3 as an exact decimal?

    Réponse

    0.333… (3 repeats forever). A finite string such as 0.333 is only an approximation.

51. Carte 51

    Question

    125% as a fraction in simplest form?

    Réponse

    5/4. Reduce 125/100; the result exceeds one whole.

52. Carte 52

    Question

    1 3/4 as a percentage?

    Réponse

    175%. Convert the mixed number to 1.75, then multiply by 100.

53. Carte 53

    Question

    2/3 as an exact percentage?

    Réponse

    66 2/3%. Multiplying 2/3 by 100 gives 200/3, or 66 2/3, before the % sign.

54. Carte 54

    Question

    0.006 as a percentage?

    Réponse

    0.6%. Multiply 0.006 by 100 and attach %.

55. Carte 55

    Question

    1/6 as a decimal, rounded to three decimal places?

    Réponse

    0.167. The exact decimal is 0.1666… (6 repeats forever); the next digit rounds the third decimal place up.

56. Carte 56

    Question

    0.333… (3 repeats forever) as a fraction in simplest form?

    Réponse

    1/3. This is exact; 0.333 without the repeating tail is a different number.

57. Carte 57

    Question

    1 as a percentage?

    Réponse

    100%. One whole corresponds to 100 out of 100.

58. Carte 58

    Question

    2/3 as a percentage, rounded to one decimal place?

    Réponse

    66.7%. The exact percentage is 66 2/3%, so round the repeating decimal percentage at the end.

59. Carte 59

    Question

    1/12 as an exact percentage?

    Réponse

    8 1/3%. Compute (1/12) × 100 = 100/12 = 25/3 before attaching %.

60. Carte 60

    Question

    0.333 as a fraction in simplest form?

    Réponse

    333/1,000. It ends after three decimal places and is not exactly 1/3.

61. Carte 61

    Question

    How can you compare a fraction, a decimal, and a percentage on one scale?

    Réponse

    Convert them all to decimals or all to fractions, then compare their numerical values. Keep exact values when rounding could affect the result.

62. Carte 62

    Question

    Which is larger: 7/20 or 34%?

    Réponse

    7/20. It equals 0.35, while 34% equals 0.34.

63. Carte 63

    Question

    Which is larger: 0.09 or 0.1?

    Réponse

    0.1. Write it as 0.10: ten hundredths is greater than nine hundredths.

64. Carte 64

    Question

    Are 9/20 and 45% equal?

    Réponse

    Yes. 9/20 = 45/100 = 45%.

65. Carte 65

    Question

    Which is larger: 0.5% or 0.05?

    Réponse

    0.05. The other value, 0.5%, equals 0.005.

66. Carte 66

    Question

    Order from smallest to largest: 0.58, 3/5, 59%.

    Réponse

    0.58 < 59% < 3/5. As decimals, they are 0.58, 0.59, and 0.60.

67. Carte 67

    Question

    Which is larger: 130% or 1 1/4?

    Réponse

    130%. It equals 1.3, while 1 1/4 equals 1.25.

68. Carte 68

    Question

    Which is larger: 1/3 or 33.3%?

    Réponse

    1/3. The percentage equals exactly 0.333, while 1/3 = 0.333… with 3 repeating forever.

69. Carte 69

    Question

    Which is larger: 3/8 or 38%?

    Réponse

    38%. The fraction equals 0.375, while 38% equals 0.38.

70. Carte 70

    Question

    Which is larger: 17/20 or 0.84?

    Réponse

    17/20. It equals 0.85, which is greater than 0.84.

71. Carte 71

    Question

    How do you calculate p% of an amount A?

    Réponse

    (p ÷ 100) × A. First convert the percentage to a decimal multiplier.

72. Carte 72

    Question

    12% of 150?

    Réponse

    18

    Calculate 0.12 × 150.

73. Carte 73

    Question

    How do you find what percentage a part is of a nonzero whole?

    Réponse

    (part ÷ whole) × 100%. Divide by the whole, not by the part.

74. Carte 74

    Question

    A 20% discount leaves what percentage of the original price to pay?

    Réponse

    80%. Subtract the discount from 100%.

75. Carte 75

    Question

    150% of 40?

    Réponse

    60

    Calculate 1.5 × 40; a percentage above 100% gives more than the original positive amount.

76. Carte 76

    Question

    30 is 15% of what number?

    Réponse

    200

    Divide the part by the decimal percentage: 30 ÷ 0.15.

77. Carte 77

    Question

    18 out of 72 is what percentage?

    Réponse

    25%. Calculate (18 ÷ 72) × 100%.

78. Carte 78

    Question

    0.5% of 600?

    Réponse

    3

    Calculate 0.005 × 600.

79. Carte 79

    Question

    To convert 2/7 to a decimal, a learner calculates 7 ÷ 2. What must change?

    Réponse

    Use 2 ÷ 7. The numerator is divided by the denominator, in that order.

80. Carte 80

    Question

    A learner writes 0.42 = 0.42%. What is the correct percentage?

    Réponse

    42%. Multiply the decimal by 100 before adding %; 0.42% would equal 0.0042.

81. Carte 81

    Question

    A learner writes 0.018 = 18/100. What is the correct simplest fraction?

    Réponse

    9/500. Three decimal places give 18/1,000, which simplifies to 9/500.

82. Carte 82

    Question

    Why is “a percentage cannot exceed 100%” incorrect?

    Réponse

    100% is one reference whole, and an amount can exceed it. For example, 160% of a positive amount is 1.6 times that amount.

83. Carte 83

    Question

    A learner reduces 12/20 to 6/20. What is the correct simplest fraction?

    Réponse

    3/5. Divide both numerator and denominator by 4. Changing only the numerator changes the value.

84. Carte 84

    Question

    A learner rounds 1/6 to 0.17 before converting to percent. What is 1/6 as a percentage to one decimal place?

    Réponse

    16.7%. Convert the exact fraction first: (1/6) × 100 = 16.666… before attaching %. Round only the final percentage.

85. Carte 85

    Question

    For the same whole, why is 1/9 smaller than 1/6?

    Réponse

    Nine equal parts make each part smaller than six equal parts. With the same positive numerator, a larger positive denominator gives a smaller fraction.

86. Carte 86

    Question

    Why can 10% of 80 and 10% of 200 be different amounts?

    Réponse

    The reference whole is different. They are 8 and 20 respectively, even though the percentage is the same.

86 cartes

Fractions, Decimals & Percentages Flashcards

Réviser ce paquet gratuitement

Nibomo s'ouvre pour que vous puissiez commencer à réviser.