MATHS PATENT: THE ESSENTIALS

The essentials to know for the mathematics test for the college diploma.

I. FRACTIONS:

A fraction looks like this, where a is the numerator and b is the denominator

I.1. Addition or subtraction of fractions

Method :

  • reduce to the same denominator,
  • add or subtract the numerators and keep the common denominator.

Example:

12 is the common denominator, 12 is a multiple of 6, we transform a single fraction

I.2. Multiplication of fractions

Method : Multiply the numerators between them as well as the denominators between them (do not reduce to the same denominator)

Example:

I.3. Division of fractions:

Method : multiply the first fraction by the inverse of the second fraction

Example:

Priority rules :

First perform the calculations in brackets then inside the brackets the parentheses starting with the multiplications and divisions (from left to right) then additions and subtractions (from left to right).

ou CPMDAS or Brackets / Parentheses / Multiplication / Division / Addition / Subtraction

Example:

Think about reducing fractions to their simplest expression !

II. POWERS:

II.1. Basic calculation rules:

where a, b, m and n are relative integers

II.2. Powers of 10:

To calculate with powers of 10, group the powers of 10 and the numbers other than the powers

Example:

II.3. Power of a number:

 Same method as with powers of 10

Example:

Quote on Mathematics:

“The essence of mathematics is freedom.”

Georg cantor

Continuation of the article, square roots and functions, page 2