Maths/Physics Flashcards
Multiply decimals
Total number of decimal points in all numbers. Multiply as whole numbers then insert decimal point to match total.
Find a% of b
(a x b)/100
Express 0.000a as a fraction
a/10000
Express 0.aaaaa etc as a fraction
a/9
Express 0.ababab etc as a fraction
ab/99
Convert a/b into a percentage
a/b x 100/1 = (100a)/b%
Convert a% into a fraction
a/100
Convert 0.a into a percentage
0.a x 100 = a0%
Convert a% into a decimal
a/100 = 0.0a
What is a HCF?
Highest Common Factor; highest numeral both numbers will divide into
What is a LCM?
Lowest Common Multiple; the lowest numeral both numbers will multiply into
What are Prime Factors?
The smallest prime numerals that can be multiplied together to make the number. e.g 2x2x2x3=24
Use Prime Factors to calculate HCF of A=axaxb and B=axbxc
HCF=axb (multiply together those that appear in both)
Use Prime Factors to calculate LCM of A=axaxb and B=axbxc
LCM=axaxbxc (multiply together the most frequent of each prime factor)
na x nb =
na+b
na ÷ nb =
na-b
(na)b =
naxb
+/- numbers in standard index form
convert to ordinary number, calculate, convert back to standard form
x/÷ numbers in standard index form
x/÷ numbers then apply indices rule to get the power of 10
n0 =
1
n1/a =
a/—n
n-a =
1/na