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M1.1 ARITHMETIC > FRACTIONS, DECIMALS AND PERCENTAGES > Flashcards

FRACTIONS, DECIMALS AND PERCENTAGES Flashcards

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1
Q

COMMON FRACTIONS

WHAT IS A COMMON FRACTION?

A

A COMMON FRACTION REPRESENTS A PORTION OR PART OF A QUANTITY.

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2
Q

COMMON FRACTIONS

WHAT IS THE TOP NUMBER OF A FRACTION CALLED?

A

NUMERATOR

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3
Q

COMMON FRACTIONS

WHAT IS THE BOTTOM NUMBER OF A FRACTION CALLED?

A

DENOMINATOR

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4
Q

COMMON FRACTIONS

WHAT IS A NUMERATOR?

A

IT IS THE NUMBER OF PARTS THERE ARE

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5
Q

COMMON FRACTIONS

WHAT IS A DENOMINATOR?

A

THE NUMBER OF PARTS ONE UNIT IS DIVIDED INTO

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6
Q

FRACTIONAL TABLE

1/2

A
  • 0.5
  • 50%
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7
Q

FRACTIONAL TABLE

1/4

A
  • 0.25
  • 25%
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8
Q

FRACTIONAL TABLE

3/4

A
  • 0.75
  • 75%
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9
Q

FRACTIONAL TABLE

1/3

A
  • 0.333
  • 33.33%
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10
Q

FRACTIONAL TABLE

2/3

A
  • 0.666
  • 66.66%
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11
Q

FRACTIONAL TABLE

5/2

A
  • 2.5
  • 250%
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12
Q

FRACTIONAL TABLE

1/10

A
  • 0.1
  • 10%
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13
Q

FRACTIONAL TABLE

2/10

A
  • 0.2
  • 20%
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14
Q

FRACTIONAL TABLE

1/5

A
  • 0.2
  • 20%
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15
Q

FRACTIONAL TABLE

2/5

A
  • 0.4
  • 40%
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16
Q

FRACTIONAL TABLE

1/8

A
  • 0.125
  • 12.5%
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17
Q

FRACTIONAL TABLE

3/8

A
  • 0.375
  • 37.5%
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18
Q

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

3/32

A
  • 0.094 INCH
  • 2.4 MM
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19
Q

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

1/8

A
  • 0.125 INCH
  • 3.2 MM
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20
Q

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

5/32

A
  • 0.156 INCH
  • 4.0 MM
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21
Q

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

3/16

A
  • 0.188 INCH
  • 4.8 MM
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22
Q

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

1/4

A
  • 0.250 INCH
  • 6.4 MM
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23
Q

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

5/16

A
  • 0.312 INCH
  • 7.9 MM
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24
Q

SUBDIVISION OF MEASUREMENTS - RIVET DIAMETERS

3/8

A
  • 0.375 INCH
  • 9.5 MM
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25
Q

COMPARING SIZE OF FRACTIONS

HOW DO YOU COMPARE THE VALUES OF TWO OR MORE FRACTIONS?

A
  1. THEY SHOULD BE EXPRESSED AS FRACTIONS WITH THE SAME DENOMINATOR
  2. THE COMMON DENOMINATOR SHOULD BE THE LCM OF THE DENOMINATORS OF THE FRACTIONS TO BE COMPARED
26
Q

MIXED NUMBER

WHAT IS A MIXED NUMBER?

A

A WHOLE NUMBER AND A PROPER FRACTION COMBINED

27
Q

BASIC OPERATORS ON FRACTIONS - ADDING FRACTIONS

HOW DO YOU ADD FRACTIONS WITH THE SAME DENOMINATOR?

A

THE FRACTIONS CAN BE ADDED TOGETHER BY ADDING THEIR NUMERATORS

28
Q

BASIC OPERATORS ON FRACTIONS - ADDING FRACTIONS

HOW DO YOU ADD FRACTIONS WITH DIFFERENT DENOMINATORS?

A
  • YOU CANNOT
  • YOU MUST CHANGE THE DENOMINATOR TO THE LOWEST COMMON DENOMINATOR OF BOTH FRACTIONS
  • THEN ADD THE NUMERATORS
29
Q

BASIC OPERATORS ON FRACTIONS - ADDING FRACTIONS

HOW DO YOU ADD MIXED NUMBERS TOGETHER?

A
  • ADD THE WHOLE NUMBERS AND FRACTIONS SEPARATELY
  • ENSURE THE FRACTIONS HAVE THE SAME DENOMINATOR
30
Q

BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS

HOW DO YOU SUBTRACT FRACTIONS WITH THE SAME DENOMINATOR?

A

IF FRACTIONS TO BE SUBTRACTED HAVE THE SAME DENOMINATOR SUBTRACT THE NUMERATORS
IT IS POSSIBLE TO HAVE A NEGATIVE FRACTION

31
Q

BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS

HOW DO YOU SUBTRACT FRACTIONS WITH DIFFERENT DENOMINATORS?

A
  • YOU CANNOT
  • FIRST OF ALL FIND THE LOWEST COMMON DENOMINATOR
  • SUBTRACT THE NUMERATORS
32
Q

BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS

HOW DO YOU SUBTRACT MIXED NUMBERS?

A
  1. SUBTRACT THE WHOLE NUMBERS
  2. THEN DEAL WITH THE FRACTIONS
  3. ENSURE THE DENOMINATORS ARE THE SAME
33
Q

BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS

HOW DO YOU SUBTRACT MIXED NUMBERS BY CONVERTING THE FRACTION TO AN IMPROPER FRACTION?

A
  1. CONVERT THE NUMBER INTO AN IMPROPER FRACTION
  2. MAKE SURE THE DENOMINATORS ARE THE SAME
  3. SUBTRACT THE IMPROPER FRACTION WITH THE LCD
34
Q

BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS

HOW DO YOU MULTIPLY FRACTIONS?

A
  1. MULTIPLY THE NUMERATORS OF EACH FRACTION TO FORM THE PRODUCT NUMERATOR
  2. THEN MULTIPLY THE DENOMINATORS TO FORM THE PRODUCT DENOMINATOR
  3. REDUCE THE FRACTION TO ITS LOWEST TERMS
35
Q

BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS

WHAT MUST YOU DO IF THERE ARE FACTORS COMMON TO A NUMERATOR AND A DENOMINATOR?

A

CANCEL THEM BEFORE MULTIPLYING

36
Q

BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS

HOW DO YOU MULTIPLY MIXED NUMBERS?

A
  1. CONVERT THE MIXED NUMBER INTO AN IMPROPER FRACTION
  2. MULTIPLY THE NUMERATORS
  3. MULTIPLY THE DENOMINATORS
  4. EXPRESS THE RESULT AS A MIXED NUMBER
37
Q

BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS

HOW DO YOU CONVERT A MIXED NUMBER TO AN IMPROPER FRACTION?

A
  1. MULTIPLY THE WHOLE NUMBER BY THE DENOMINATOR
  2. ADD THAT ANSWER TO THE NUMERATOR
38
Q

BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS

HOW DO YOU CONVERT AN IMPROPER FRACTION TO A MIXED NUMBER?

A
  1. DIVIDE THE NUMERATOR BY THE DENOMINATOR
  2. WRITE DOWN THE WHOLE NUMBER AS THE RESULT
  3. USE THE REMAINDER AS THE NUMERATOR
39
Q

BASIC OPERATORS ON FRACTIONS - DIVIDING FRACTIONS

HOW DO YOU DIVIDE FRACTIONS?

A
  1. INVERT THE DIVISOR
  2. MULTIPLY THE NUMERATOR
  3. MULTIPLY THE DENOMINATOR
  4. REDUCE THE QUOTIENT TO ITS LOWEST TERMS
40
Q

DECIMALS

WHAT IS A DECIMAL?

A

A NUMBER WITH A WHOLE NUMBER PART AND A FRACTION PART
SEPARATED BY A DECIMAL POINT
DECIMAL POINTS EXTEND THE BASE 10 NUMBER SYSTEM

41
Q

DECIMALS

WHY DO WE USE DECIMALS?

A

THEY ARE EASIER TO READ THAN FRACTIONS

42
Q

DECIMALS

HOW DO YOU CONVERT A COMMON FRACTION TO A DECIMAL FRACTION?

A
  1. DIVIDING THE NUMERATOR BY THE DENOMINATOR
43
Q

DECIMALS

HOW DO YOU CONVERT AN IMPROPER FRACTION TO A DECIMAL FRACTION?

A
  1. DIVIDE THE NUMERATOR BY THE DENOMINATOR
  2. THE INTEGER PART OF THE NUMBER APPEARS TO THE LEFT OF THE DECIMAL POINT
  3. THE FRACTIONAL PART APPEARS TO THE RIGHT OF THE DECIMAL POINT
44
Q

BASIC OPERATORS ON DECIMALS - ADDING DECIMALS

HOW DO YOU ADD DECIMALS?

A
  1. ALIGN THE DECIMAL POINT
  2. ADD
45
Q

BASIC OPERATORS ON DECIMALS - SUBTRACTING DECIMALS

HOW DO YOU SUBTRACT DECIMALS?

A
  1. ALIGN THE DECIMAL POINT
  2. SUBTRACT
46
Q

BASIC OPERATORS ON DECIMALS - MULTIPLYING DECIMALS

HOW DO YOU MULTIPLY DECIMALS?

A
  1. IGNORE THE DECIMAL POINT
  2. MULTIPLY THE WHOLE NUMBERS
  3. COUNT THE NUMBER OF DIGITS TO THE RIGHT OF THE DECIMAL POINT IN THE ORIGINAL NUMBERS
  4. PLACE THE DECIMAL POINT THAT NUMBER OF PLACES FROM THE RIGHT.
47
Q

BASIC OPERATORS ON DECIMALS - DIVIDING DECIMALS

HOW DO YOU DIVIDE DECIMALS?

A
  1. WHEN THE DIVISOR IS A WHOLE NUMBER THE DECIMAL POINT ALIGNS WITH THE DECIMAL IN THE DIVIDEND
  2. WHEN THE DIVISOR IS A DECIMAL FRACTION CONVERT TO A WHOLE NUMBER BY MOVING THE DECIMAL POINT TO THE RIGHT
  3. WHEN THE DECIMAL IN THE DIVISOR IS MOVED YOU MUST MOVE THE DECIMAL IN THE DIVIDEND IN THE SAME DIRECTION AND NUMBER OF SPACES.
48
Q

PERCENTAGES

WHAT IS A PERCENTAGE?

A
  1. OUT OF 100
  2. REPRESENTED BY THE % SIGN
49
Q

PERCENTAGE VALUE OF A QUANTITY

HOW DO YOU FIND THE VALUE OF A PERCENTAGE OF A QUANTITY?

A
  1. EXPRESS THE PERCENTAGE AS A FRACTION
  2. MULTIPLY BY THE QUANTITY
  3. OR
  4. DIVIDE THE QUANITITY BY 100
  5. MULTIPLY BY THE PERCENTAGE
50
Q

EXPRESSING A QUANTITY AS A PERCENTAGE

HOW DO YOU EXPRESS ONE QUANTITY AS A PERCENTAGE OF ANOTHER?

A
  1. MAKE A FRACTION OF THE TWO QUANTITIES
  2. MULTIPLY BY 100
51
Q

CONVERTING FRACTIONS TO DECIMALS AND PERCENTAGES - FRACTION TO DECIMAL

HOW DO YOU CONVERT A FRACTION TO A DECIMAL?

A
  1. DIVIDE THE NUMERATOR BY THE DENOMINATOR
  2. 3/4 = 3 ÷ 4 = 0.75
52
Q

CONVERTING FRACTIONS TO DECIMALS AND PERCENTAGES- FRACTION TO PERCENTAGE

HOW DO YOU CONVERT FRACTION TO A PERCENTAGE?

A
  1. FIRST CONVERT THE FRACTION TO A DECIMAL
  2. MULTIPLY BY 100
  3. 3/4 = 0.75 x 100 = 75%
53
Q

CONVERTING DECIMALS TO FRACTIONS AND PERCENTAGES - DECIMAL TO FRACTION

HOW DO YOU CONVERT A DECIMAL TO A FRACTION?

A
  1. WRITE DOWN THE DECIMAL DIVIDED BY 1
  2. 0.75 / 1
  3. MULTIPLY THE TOP AND BOTTOM BY 10 FOR EVERY NUMBER AFTER THE DECIMAL POINT
  4. MULTIPLY 0.75 BY 100 AS THERE ARE TWO DIGITS ARE 0
  5. 75 / 100
  6. SIMPLIFY THE FRACTION
  7. 3/4
54
Q

CONVERTING FRACTIONS TO DECIMALS AND PERCENTAGES DECIMAL TO PERCENTAGE

HOW DO YOU CONVERT DECIMAL TO PERCENTAGE?

A
  1. MULTIPLY THE DECIMAL BY 100
  2. ADD THE % SIGN
  3. 0.75 x 100 = 75%
55
Q

CONVERTING PERCENTAGES TO DECIMALS AND FRACTIONS- PERCENTAGE TO DECIMAL

HOW DO YOU CONVERT A PERCENTAGE TO A DECIMAL?

A
  1. DIVIDE THE PERCENTAGE BY 100
  2. 75% / 100 = 0.75
56
Q

CONVERTING PERCENTAGES TO DECIMALS AND FRACTIONS- PERCENTAGE TO FRACTION

HOW DO YOU CONVERT A PERCENTAGE TO A FRACTION?

A
  1. DIVIDE THE PERCENTAGE BY 100
  2. SIMPLIFY THE FRACTION
  3. 75% = 75/100 = 3/4
57
Q

KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES

HOW DO YOU CONVERT A FRACTION INTO A DECIMAL OR PERCENTAGE?

A

DIVIDE THE NUMERATOR BY THE DENOMINATOR

58
Q

KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES

HOW DO YOU CONVERT A DECIMAL TO A FRACTION?

A

WRITE IT OVER 1
MULTIPLY THE NUMERATOR AND DENOMINATOR
SIMPLIFY

59
Q

KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES

HOW DO YOU CONVERT A PERCENTAGE TO A DECIMAL OR FRACTION?

A

DIVIDE BY 100

60
Q

KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES

WHAT IS THE COMMON STEP IN CONVERTING DECIMALS TO PERCENTAGES?

A

MULTIPLYING BY 100

61
Q

KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES

HOW TO CONVERT FRACTION - DECIMAL - PERCENTAGE

A

M1.1 ARITHMETIC (11 decks)

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