1.1 Arthimetic - Fractions, Decimals, MMMR Flashcards
MMMR (Mean, median, mode & range)
Proper Fractions
Fractions less than 1
Improper Fractions
Fractions greater than 1
Mixed Numbers
Fractions with whole numbers and vulgar fractions
Key points to multiplication of fractions (6)
- Express as improper fractions
- cancel vertically if possible
- cancel across the multiplication sign if possible
- multiply numerators together, multiply denominators together
- convert to a mixed number if improper
- simplify
Simplest way to multiply fractions
top x top and bottom x bottom
another way that times (x) may be written?
Of
Key points to division of fractions (4)
- convert to improper
- invert the fraction you are dividing
- proceed as multiplication
- simplify as necessary
Key points to mixed multiplication and division of fractions (2)
- invert all fractions preceded by a division sign
2. treat the calculations as multiplication
key points to addition of fractions (4)
- express fractions as mixed numbers in their lowest form
2 add whole numbers together - add vulgar fractions together (covert denominators so they are all the same (lowest common multiple))
- convert to mixed numbers as necessary
The basic procedure of subtraction of fractions?
same procedure as an addition calculation
Whole numbers > subtract whole numbers > subtract vulgar fractions using LCM
if basic subtraction of vulgar fraction = a minus fraction, what do you do?
convert a single whole number into a fraction and add to calculation at the start of the fraction (unless no whole numbers available)
how to calculate mixed addition and subtraction
same procedure, mixed numbers, LCM add/subtract as necessary
what are decimal places?
the number of digits after the decimal point
what do you do during multiplcation of decimals?
ignore the decimal point until you have an answer
add the decimals places and put the point into your answer
what is a divisor?
the number you are dividing by
what is a dividend?
the number being dividied into
what can you do to the decimal point when dividing?
moving the decimal point in the divisor to make a whole number whilst moving it in the dividend by the same point and in the same direction
What is Mean?
set of data divided by the number of data
what is median?
the middle value, or the mean of the middle two values
what is mode?
the value that appears the most. (possible to have no mode and more than one mode)
what is range?
the difference between the highest value lowest value
