Fractions Flashcards

1
Q

Product of a number and its reciprocal is

A

always 1

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2
Q

reciprocal of 0, 0 squared

A

undefined, 0

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3
Q

complex fractions

A

fractions whose numerator, denominator or both are fractions

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4
Q

proper and improper fractions

A

proper: fractions whose numerator is smaller than denominator - improper is viceverasa

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5
Q

comparing the size of the fractions

A

cross multiplying the nominator with the denominator of the number you are comparing with a/b>c/d if ad>bc
or finding lcm and comapre

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6
Q

if the same numerator - bigger the denominator

A

smaller the fraction

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7
Q

decimal points, names

A

thousand 1,000 hundred 100 tens 10 ones 1 tenths 0,1 hundredths 0,01 thousandths 0,001

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8
Q

multiplication with decimals

A

count the numbers after the dec point of both numbers, remove the decimal point, multiply the numbers, add the decimal point based on the first count

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9
Q

percent into fraction

A

x% = x/100 and then reduce

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10
Q

fraction into percent

A

x/100 * 100= x%

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11
Q

decimal into percent

A

move the decimal point 2 places to the right

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12
Q

decimals into fraction

A

terminal decimal can be converted

  1. If the terminating decimal has 1 decimal place write the number over 10 (0,3 -> 3/10)
  2. If the terminating decimal has 2 decimal place write the number over 100 (1,47-> 147/100)
  3. If the terminating decimal has 3 decimal place write the number over 1000 (0,679-> 679/1000)
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13
Q

base fraction

A

fraction that has 1 as a numerator 1/3, 1/9)

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14
Q

knowing the base fraction equivalent can determine the value of other fractions?

A
1/9 = 0,111
5/9 = 0,111*5= 0,556...
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15
Q

squaring and taking square root of a number between 0 and 1

A

then X^2 < x < root of x

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16
Q

When presented with large squared number you can…

A

square the last digit and the answer has to have the same unit digit

17
Q

perfect square

A

is a number that can be expressed by multiplying 2 same numbers i.e 25 (55), 9(33)

18
Q

if a number is a perfect square it will have units digit of

A

0,1,4,5,6,9

19
Q

PEMDAS

A

parenthesis, exponents, multiplication division, addition subtraction

20
Q

Factorials

A

if n positive- product of all the numbers from 1 to n included

21
Q

0!, 1!=?

A

1,1

22
Q

an opposite of a number

A

2, -2