FRACTIONS, DECIMALS AND PERCENTAGES Flashcards

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
# COMPARING SIZE OF FRACTIONS HOW DO YOU COMPARE THE VALUES OF TWO OR MORE FRACTIONS?
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
# MIXED NUMBER WHAT IS A MIXED NUMBER?
A WHOLE NUMBER AND A PROPER FRACTION COMBINED
27
# BASIC OPERATORS ON FRACTIONS - ADDING FRACTIONS HOW DO YOU ADD FRACTIONS WITH THE SAME DENOMINATOR?
THE FRACTIONS CAN BE ADDED TOGETHER BY ADDING THEIR NUMERATORS
28
# BASIC OPERATORS ON FRACTIONS - ADDING FRACTIONS HOW DO YOU ADD FRACTIONS WITH DIFFERENT DENOMINATORS?
* YOU CANNOT * YOU MUST CHANGE THE DENOMINATOR TO THE LOWEST COMMON DENOMINATOR OF BOTH FRACTIONS * THEN ADD THE NUMERATORS
29
# BASIC OPERATORS ON FRACTIONS - ADDING FRACTIONS HOW DO YOU ADD MIXED NUMBERS TOGETHER?
* ADD THE WHOLE NUMBERS AND FRACTIONS SEPARATELY * ENSURE THE FRACTIONS HAVE THE SAME DENOMINATOR
30
# BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS HOW DO YOU SUBTRACT FRACTIONS WITH THE SAME DENOMINATOR?
IF FRACTIONS TO BE SUBTRACTED HAVE THE SAME DENOMINATOR SUBTRACT THE NUMERATORS IT IS POSSIBLE TO HAVE A NEGATIVE FRACTION
31
# BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS HOW DO YOU SUBTRACT FRACTIONS WITH DIFFERENT DENOMINATORS?
* YOU CANNOT * FIRST OF ALL FIND THE LOWEST COMMON DENOMINATOR * SUBTRACT THE NUMERATORS
32
# BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS HOW DO YOU SUBTRACT MIXED NUMBERS?
1. SUBTRACT THE WHOLE NUMBERS 2. THEN DEAL WITH THE FRACTIONS 3. ENSURE THE DENOMINATORS ARE THE SAME
33
# BASIC OPERATORS ON FRACTIONS - SUBTRACTING FRACTIONS HOW DO YOU SUBTRACT MIXED NUMBERS BY CONVERTING THE FRACTION TO AN IMPROPER FRACTION?
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
# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS HOW DO YOU MULTIPLY FRACTIONS?
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
# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS WHAT MUST YOU DO IF THERE ARE FACTORS COMMON TO A NUMERATOR AND A DENOMINATOR?
CANCEL THEM BEFORE MULTIPLYING
36
# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS HOW DO YOU MULTIPLY MIXED NUMBERS?
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
# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS HOW DO YOU CONVERT A MIXED NUMBER TO AN IMPROPER FRACTION?
1. MULTIPLY THE WHOLE NUMBER BY THE DENOMINATOR 2. ADD THAT ANSWER TO THE NUMERATOR
38
# BASIC OPERATORS ON FRACTIONS - MULTIPLYING FRACTIONS HOW DO YOU CONVERT AN IMPROPER FRACTION TO A MIXED NUMBER?
1. DIVIDE THE NUMERATOR BY THE DENOMINATOR 2. WRITE DOWN THE WHOLE NUMBER AS THE RESULT 3. USE THE REMAINDER AS THE NUMERATOR
39
# BASIC OPERATORS ON FRACTIONS - DIVIDING FRACTIONS HOW DO YOU DIVIDE FRACTIONS?
1. INVERT THE DIVISOR 2. MULTIPLY THE NUMERATOR 3. MULTIPLY THE DENOMINATOR 4. REDUCE THE QUOTIENT TO ITS LOWEST TERMS
40
# DECIMALS WHAT IS A DECIMAL?
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
# DECIMALS WHY DO WE USE DECIMALS?
THEY ARE EASIER TO READ THAN FRACTIONS
42
# DECIMALS HOW DO YOU CONVERT A **COMMON FRACTION** TO A **DECIMAL FRACTION**?
1. DIVIDING THE NUMERATOR BY THE DENOMINATOR
43
# DECIMALS HOW DO YOU CONVERT AN **IMPROPER FRACTION** TO A **DECIMAL FRACTION**?
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
# BASIC OPERATORS ON DECIMALS - ADDING DECIMALS HOW DO YOU ADD DECIMALS?
1. ALIGN THE DECIMAL POINT 2. ADD
45
# BASIC OPERATORS ON DECIMALS - SUBTRACTING DECIMALS HOW DO YOU SUBTRACT DECIMALS?
1. ALIGN THE DECIMAL POINT 2. SUBTRACT
46
# BASIC OPERATORS ON DECIMALS - MULTIPLYING DECIMALS HOW DO YOU MULTIPLY DECIMALS?
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
# BASIC OPERATORS ON DECIMALS - DIVIDING DECIMALS HOW DO YOU DIVIDE DECIMALS?
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
# PERCENTAGES WHAT IS A PERCENTAGE?
1. OUT OF 100 2. REPRESENTED BY THE % SIGN
49
# PERCENTAGE VALUE OF A QUANTITY HOW DO YOU FIND THE VALUE OF A PERCENTAGE OF A QUANTITY?
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
# EXPRESSING A QUANTITY AS A PERCENTAGE HOW DO YOU EXPRESS ONE QUANTITY AS A PERCENTAGE OF ANOTHER?
1. MAKE A FRACTION OF THE TWO QUANTITIES 2. MULTIPLY BY 100
51
# CONVERTING FRACTIONS TO DECIMALS AND PERCENTAGES - FRACTION TO DECIMAL HOW DO YOU CONVERT A FRACTION TO A DECIMAL?
1. DIVIDE THE NUMERATOR BY THE DENOMINATOR 2. 3/4 = 3 ÷ 4 = 0.75
52
# CONVERTING FRACTIONS TO DECIMALS AND PERCENTAGES- FRACTION TO PERCENTAGE HOW DO YOU CONVERT FRACTION TO A PERCENTAGE?
1. FIRST CONVERT THE FRACTION TO A DECIMAL 2. MULTIPLY BY 100 3. 3/4 = 0.75 x 100 = 75%
53
# CONVERTING DECIMALS TO FRACTIONS AND PERCENTAGES - DECIMAL TO FRACTION HOW DO YOU CONVERT A DECIMAL TO A FRACTION?
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
# CONVERTING FRACTIONS TO DECIMALS AND PERCENTAGES DECIMAL TO PERCENTAGE HOW DO YOU CONVERT DECIMAL TO PERCENTAGE?
1. MULTIPLY THE DECIMAL BY 100 2. ADD THE % SIGN 3. 0.75 x 100 = 75%
55
# CONVERTING PERCENTAGES TO DECIMALS AND FRACTIONS- PERCENTAGE TO DECIMAL HOW DO YOU CONVERT A PERCENTAGE TO A DECIMAL?
1. DIVIDE THE PERCENTAGE BY 100 2. 75% / 100 = 0.75
56
# CONVERTING PERCENTAGES TO DECIMALS AND FRACTIONS- PERCENTAGE TO FRACTION HOW DO YOU CONVERT A PERCENTAGE TO A FRACTION?
1. DIVIDE THE PERCENTAGE BY 100 2. SIMPLIFY THE FRACTION 3. 75% = 75/100 = 3/4
57
# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES HOW DO YOU CONVERT A FRACTION INTO A DECIMAL OR PERCENTAGE?
DIVIDE THE NUMERATOR BY THE DENOMINATOR
58
# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES HOW DO YOU CONVERT A DECIMAL TO A FRACTION?
WRITE IT OVER 1 MULTIPLY THE NUMERATOR AND DENOMINATOR SIMPLIFY
59
# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES HOW DO YOU CONVERT A PERCENTAGE TO A DECIMAL OR FRACTION?
DIVIDE BY 100
60
# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES WHAT IS THE COMMON STEP IN CONVERTING DECIMALS TO PERCENTAGES?
MULTIPLYING BY 100
61
# KEY POINTS TO REMEMBER - FRACTIONS, DECIMALS AND PERCENTAGES HOW TO CONVERT FRACTION - DECIMAL - PERCENTAGE