Essential of Quant Skills Flashcards

1
Q

Lowest Common Denominator

A

Smallest non-zero integer that will divide all

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2
Q

Cross Out

A

Try to cancel numerator and denominator as much as possible

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3
Q

(a/b)+(c/b)

A

(a+c)/b

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4
Q

If (a/b)+(c/d)

A

(ad+bc)/bc -> cross multiple

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5
Q

Cross cancel

A

works for multiplication and not addition and subtraction and divisions

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6
Q

(a/b)/(c/d)

A

(ad/bc) -> (outsideoutside)/(insideinside)

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7
Q

Comapring Fractions

A

Have a reference point (let’s say 1/2) and you say you are more or less than that 1/2

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8
Q

Comapre a/b and c/d

A

ad > bc

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9
Q

1/(a/b)

A

b/a -> 1 divided by a fraction is b/a

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10
Q

One way of comapring the fractions

A

Make all the numerator same > larger denomintor smaller the number (3/2)>(3/4)

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11
Q

Second way of comapring the fractions

A

Make all the denominator same

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12
Q

Multiplying or dividing both the numerator and denominator by a non-zero

A

Will not change the value of the fractions

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13
Q

Adding or subtracting the numerator and denominator by a non-zero

A

Will change the value of the fractions

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14
Q

Fraction between 0 and 1 : adding to the numerator and denominator

A

make the fraction larger

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15
Q

Fraction between 0 and 1 : subtracting to the numerator and denominator

A

make the fraction smaller

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16
Q

Fraction greater than 1 : adding to the numerator and denominator

A

make the fraction smaller

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17
Q

Fraction greater than 1 : subtracting to the numerator and denominator

A

make the fraction larger if it’s still postive

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18
Q

Decimals

A

Tenths: 0.1
Hundredths: 0.01
Thousandths: 0.001

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19
Q

To add or subtracts decimals

A

Line up the decimal points and then add or subtract

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20
Q

To multiply two decimals

A

1) First ignore the decimals, treat the tow numbers and whole numbers and determine the product
2) Count the total number of the decimals to the rights of the decimals point in the number that were multiplied
3) In the product, move the decimals point to the left the same number of spaces
i. e 15.534*2.8= 4 decimals = 43495200 = 43.4952

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21
Q

Rounding: If the digit to the right is less than 5

A

keep the digit in the xth place and change everything to the right in the xth place to zero
i.e: 9.746 -> 9.70

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22
Q

If the digit is 5 or greater

A

round the digit in the xth place up by 1 and change everything to the right of the xth place to a zero
Hundredth : 9.746 -> 9.75

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23
Q

x%

A

x/100

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24
Q

Convert fraction to a percent

A

multiply the fraction by 100 and attach the percent sign

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25
Q

Convert decimal or an integer to a percent

A

Move the decimal point two places to the right and attach the percent sign
i.e: 0.03 = 3%

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26
Q

Convert percent to a decimal

A

drop the percentage sign and move the decimal point two places to the left
i.e: 0.7% -> 0.007

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27
Q

Converting a terminating decimals

A

A. 1 decimal : write it over 10 -> 0.3 -> 3/10
B. 2 decimal: write it over 100 -> 1.47
-> 147/100

28
Q

1/8

A
  1. 125

0thers: 3/8 -> 0.125*3

29
Q

1/2

A

0.5 ; 50%

30
Q

1/3

A

0.333; 33%

31
Q

1/4

A

0.25; 25%

32
Q

1/5

A

0.2; 20%

33
Q

1/6

A

0.167; 16.7%

34
Q

1/7

A

0.143; 14.3%

35
Q

1/8

A

0.125; 12.5%

36
Q

1/9

A

0.111; 11%

37
Q

1/10

A

0.1; 10%

38
Q

Square root of number except for rad 0

A

Always positive

39
Q

If b ≠ 0, then (a/b)^2

A

a^2/b^2

40
Q

If x ≥ 0 and y >0, then rad(x/y)

A

rad x/ rad y

41
Q

If 0

A

x^2 < x < rad x

42
Q

Bigger the number, bigger the result when square rooting

A

0.990^2 > 0.9099^2 > 0.9090^2

43
Q

Estimation

A

When estimating, try to round to the whole/ easier #

i.e = (2013^2)/(20.5 199^2) = (2000)^2/(20(200^2)

44
Q

Perfect square never end in

A

2
3
7
8

45
Q

Perfect square end in

A
0
1
4
5
6
9
46
Q

Number Line: number on the right

A

always greater than number on the left

47
Q

Number line: If the two number are negative

A

The farther away the number is from the number 0, the small its value and the closer the number is to 0, the larger its value

48
Q

Comparing the negative fractions

A

First treat them as normal and switch the sign after you make that change

49
Q

PEDMAS

A

Follow PEDMAS and absolute value have the same priority as parentheses and square root also act like parentheses

50
Q

PEDMAS in fraction

A

First take care of the top part and then look at the bottom and stuff

51
Q

Commutative property

A

a+b = b+a

52
Q

Associative property

A

(a+b)+c = a+(b+c)

53
Q

When we have a sequence of number

A

add them in any order we want

54
Q

Commutative property of multiplication

A

ab = ba

55
Q

Associative property of multiplication

A

(ab)c = a(bc)

56
Q

When we have a sequence of number of multiplication

A

multiply them in any order we want

57
Q

Distributive Property of multiplication

A

a(b+c)= ab+a*c

58
Q

(b+c)*a

A

ba+ca

59
Q

a(b+c+d)

A

ab+ac+ad

60
Q

a(b-c)

A

ab-ac

61
Q

Common factor

A

Always be in look out to factor out common factors

62
Q

Arithmetic tricks

A
999+578 = 1000+578-1 = 143 
1,000,000,000,000-888,888,888,888= 999,999,999,999+1- 888,888,888,888 = 111,111,111,112
63
Q

0!

A

1

64
Q

1!

A

1

65
Q

Try to factor out the factorials

A

11!+10! = 10!(11+1)