Numbers
-187 : minus one hundred and eighty seven
33,333 : thirty-three thousand, three hundred and thirty-three
1,000,000 : one million
2,000,000,000 : two billion
9,000,000,000,000 : nine trillion
Notes:
- always use a comma with numbers greater than 999.
- don’t say ‘3 millions’ – although you might hear people say things like ‘It cost millions and millions of dollars’.
- if you have an old dictionary you might read that there are two options for billion – that is no longer true.
54.25 : fifty-four point two five
110 : one to the power of ten
-5.5 x 1010 : minus five point five times ten to the power of ten
8 x 10-3 : eight times ten to the minus three
Fractions
1 ½ : one and a half
2 ⅓ : two and a third
-3 ¼ : minus three and a quarter
4 ⅕ : four and a fifth
⅜ : three-eighths
0.002 : two thousandths
Equations and Operations
3n + 4x : three n plus four x
1 – 2n : one minus two n
3+3=6 : three plus three equals six
18-8=10 : eighteen minus eight equals ten
3/5=0.6 : three divided by five equals zero point six
5! = five factorial
Notes:
- For 0.6 you can also say nought point six
Greater and Less Than
x>y : x is greater than y
x≥y : x is greater than or equal to y
x<y : x is less than y
x≤y : x is less than or equal to y
Notes:
You can also say ‘x is smaller than y’
Exponentials and Roots
22 : two squared
43 : four cubed
64 : six to the power of four
810 : eight to the power of ten
10-1 : ten to the minus one
√3 : the square root of three
3√32 : the cube root of thirty two
5√64 : the fifth root of sixty four
Miscellaneous Maths Vocabulary
odd number : 1,3,5,7, etc
even number : 2,4,6, etc
denominator : the number below the line
numerator : the number above the line
left bracket : [
right bracket : ]
curly bracket (AKA braces) : { }
exponent : how many times to use that number in a multiplication
factorial : the product of a number and all the numbers below it. (4! = 4 x 3 x 2 x 1)
infinity : ∞ : a number greater than all the atoms of ice cream I’ve ever eaten
product : the answer when numbers are multiplied
ratio : the relationship between two numbers
integer : a whole number
rational number : a number that can be made by dividing two integers
irrational number : a real number that cannot be made by dividing two integers
prime : a number that is divisible only by itself and 1
coefficient : a number used to multiply a variable