Quant Basics Flashcards

1
Q

2^0

A

1

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2
Q

2^1

A

2

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3
Q

2^3

A

8

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4
Q

2^2

A

4

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5
Q

2^4

A

16

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6
Q

2^5

A

32

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7
Q

2^6

A

64

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8
Q

2^7

A

128

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9
Q

2^8

A

256

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10
Q

2^9

A

512

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11
Q

2^10

A

1024

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12
Q

2^11

A

2048

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13
Q

3^0

A

1

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14
Q

3^1

A

3

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15
Q

3^2

A

9

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16
Q

3^3

A

27

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17
Q

3^4

A

81

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18
Q

3^5

A

243

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19
Q

3^6

A

729

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20
Q

5^0

A

1

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21
Q

5^1

A

5

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22
Q

5^2

A

25

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23
Q

5^3

A

125

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24
Q

5^4

A

625

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25
5^5
3125
26
1^2
1
27
2^2
4
28
3^2
9
29
4^2
16
30
5^2
25
31
6^2
36
32
7^2
49
33
8^2
64
34
9^2
81
35
10^2
100
36
11^2
121
37
12^2
144
38
13^2
169
39
14^2
196
40
15^2
225
41
16^2
256
42
17^2
289
43
18^2
324
44
19^2
361
45
20^2
400
46
1^3
1
47
2^3
8
48
3^3
27
49
4^3
64
50
5^3
125
51
6^3
216
52
7^3
343
53
8^3
512
54
9^3
729
55
10^3
1000
56
# Quick tips to learn The smallest multiple of any number is:
The number itself
57
# Quick tips to learn The largest multiple of any number is:
Infinity
58
# Definition The definition of a multiple is:
A number multiplied by a positive number
59
# Quick tips to learn What is the relationship between a divisor and a factor?
They are the same thing
60
# Definition The definition of a divisor is:
A positive integer which when used to divide a number does not give a remainder
61
# Quick tips to learn The smallest divisor of any number is:
1
62
# Quick tips to learn The largest divisor of any number is:
The number itself
63
# Quick tips to learn The multiples of a number can never be what?
Smaller than the number itself
64
# Solve 87 x 99
8613 | Use power of 10s
65
# Solve 101 x 30 x 19
57570 | Use power of 10s
66
# Solve 97 x 230 - 310
22000 | Use power of 10s
67
# Solve 39 x 25 + 17 x 19
1298 | Use power of 10s
68
# Solve 27 x 99 + 101 x 43
7016 | Use power of 10s
69
# Solve 80 x 79
6320 | Use power of 10s
70
# Solve 11 x 50 x 49
26950 | Use power of 10s
71
# Solve 98 x 370 - 1260
35000 | Use power of 10s
72
# Solve 29 x 15 + 16 x 49
1219 | Use power of 10s
73
# Put in simplified fraction form 0.13
13/100
74
# Put in simplified fraction form 0.7
7/100
75
# Put in simplified fraction form 0.18
9/50
76
# Put in simplified fraction form 0.35
7/20
77
# Put in simplified fraction form 0.0023
23/1000
78
# Put in simplfied fraction form 0.017
17/1000
79
# Quick tips to learn To compare fractions then we should do what?
Make either the numerators or denominators equal
80
# Quick tips to learn When multiplying a number between 0 and 1 the answer will be what?
Smaller than the original value
81
# Quick tips to learn When dividing a number between 0 and 1 the answer will be what?
Greater than the original value
82
# Methodology How do you find the fraction for a recurring number with algebra?
If *x = 0.222222 (eq 1)* **Multiply by 10^n where n is the length of the recurring pattern - in this case n = 1** *(10^1)x = 2.222222 (eq 2)* **Subtract 1 from 2. ** *9 x = 2* *x = 2/9 so 0.222222=2/9*
83
# Translation Find a X% of Y means
Multiply: OF = MULTIPLY
83
# Methodology To find a percent increase what is the multiplier?
1 + percentage/100 | or 1+ percent as a fraction
84
# Methodology To find a percent decrease what is the multiplier?
1- percentage/100 | or 1- percent as a fraction
85
What are the first 10 powers of 2? ## Footnote Quant Basics
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
86
What are the first 10 powers of 3? ## Footnote Quant Basics
1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049
87
What are the first 6 powers of 5? ## Footnote Quant Basics
1, 5, 25, 125, 625, 3125
88
What are the squares from 1 to 10? ## Footnote Quant Basics
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
89
What are the squares from 11 to 20? ## Footnote Quant Basics
121, 144, 169, 196, 225, 256, 289, 324, 361, 400
90
What are the cubes from 1 to 10? ## Footnote Quant Basics
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
91
# Perfect squares The root of a perfect square is ## Footnote Quant Basics
A positive integer
92
# Perfect squares A perfect square is... ## Footnote Quant Basics
The square of a positive integer
93
What is the equation for unit conversion?
x (UC) = y
94
How do you count the number of multiples of x from 1-n inclusive?
((highest multiple - lowest multiple ) /x ) +1
95
What is the divisibility rule for 3?
Sum of digits is divisible by 3
96
What is the divisibility rule for 4?
Integer is divisible by 2 twice OR Last 2 digits are divisible by 4
97
What is the divisibility rule for 5?
Integer ends in 0 or 5
98
What is the divisibility rule for 6?
Interger is divisible by 2 and 3 and Even number where Sum of digits is divisble by 3
99
What is the divisibility rule for 8?
Divisible by 2 three times OR Last 3 digits are divisible by 8
100
What is the divisibility rule for 9?
Sum of digits divisible by 9
101
What is the divisibility rule for 11 ?
Sum of Odd Place Digits Sum of Even Place Digits are Divisible by 11