
Chapter 4 Complex Numbers, C
... A fifth form, which is quite common, was introduced by Euler. He discovered this through his work with the power series expansions for the exponential function, the sine function and the cosine function. We may have time to look at this later. The exponential form for a complex number is reiθ . The ...
... A fifth form, which is quite common, was introduced by Euler. He discovered this through his work with the power series expansions for the exponential function, the sine function and the cosine function. We may have time to look at this later. The exponential form for a complex number is reiθ . The ...
Assessment Material for OCN: Calculations, BZR870
... Mark goes shopping to buy shoes for his 3 children. If the shoes cost £27 per pair, how much will it cost him? Toilet rolls cost 52 pence each. How much would it cost for a pack of 10 rolls? 10 friends go on holiday. The holiday costs them £320 each. How much would that be altogether? Sanjay collect ...
... Mark goes shopping to buy shoes for his 3 children. If the shoes cost £27 per pair, how much will it cost him? Toilet rolls cost 52 pence each. How much would it cost for a pack of 10 rolls? 10 friends go on holiday. The holiday costs them £320 each. How much would that be altogether? Sanjay collect ...
Mixed Numbers and Improper Fractions
... A proper fraction has a numerator that is less than its denominator. An improper fraction has a numerator that is more than or equal to its denominator. A mixed number shows the sum of a whole number and a proper fraction. ...
... A proper fraction has a numerator that is less than its denominator. An improper fraction has a numerator that is more than or equal to its denominator. A mixed number shows the sum of a whole number and a proper fraction. ...
Mathematics Contest Solutions
... between 1 and 9 inclusive during the one o’clock hour the first digit is one and the remaining two digits would have to add to at least 15 which again is not possible. For the two o’clock hour, the remaining digits would have to add to at least 14 which is only 59, one minute. Similarly, at three we ...
... between 1 and 9 inclusive during the one o’clock hour the first digit is one and the remaining two digits would have to add to at least 15 which again is not possible. For the two o’clock hour, the remaining digits would have to add to at least 14 which is only 59, one minute. Similarly, at three we ...
Numbering Systems
... • Count 0 – 9 in any column, gives 10 separate values. • When a count exceeds 9 we start a new column. • Example: ...
... • Count 0 – 9 in any column, gives 10 separate values. • When a count exceeds 9 we start a new column. • Example: ...
Arithmetic

Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.