Aviation Mathematics Workbook - Module 1

A simple addition problem where you combine two or more numbers.

A type of subtraction problem where you find the difference between two numbers.

A multiplication problem where you multiply two or more numbers together.

A type of division problem where you divide a larger number by a smaller number.

The average of a set of numbers is found by adding all the numbers together and then dividing by the total number of numbers in the set.

Approximation is using estimations to get a rough idea of an answer. In math, you can round numbers to make calculations easier.

Adding decimal numbers involves lining up the decimal points and adding each digit in the corresponding place value.

Subtracting decimal numbers involves lining up the decimal points and subtracting each digit in the corresponding place value.

Multiplying decimal numbers is like multiplying whole numbers, but you count the decimal places in the factors and place the decimal in the product.

Dividing decimal numbers can be made easier by moving the decimal point in both the divisor and dividend to make the divisor a whole number.

Rounding a number means making it simpler by finding the nearest whole number or a specified decimal place.

A common fraction is a fraction where both the numerator and denominator are integers.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Adding fractions with different denominators requires finding a common denominator before adding the numerators.

Multiplying fractions involves multiplying the numerators and multiplying the denominators. You can simplify the fractions before or after multiplying.

Dividing fractions is like flipping the second fraction and multiplying.

Cancelling techniques in fractions allow you to simplify before multiplying by finding common factors in the numerator and denominator.

Thousandths of an inch (thou) is a unit of measurement used for very small distances. It is equal to 1/1000 of an inch.

BODMAS is a mathematical rule that stands for Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right). It helps determine the order of operations in a mathematical expression.

Directed numbers are numbers that can be positive, negative, or zero.

A percentage is a way of representing a part of a whole as a fraction of 100.

Expressing a number as a percentage involves converting it to a fraction with a denominator of 100 and then writing it as a percentage.

A ratio is a comparison of two or more quantities.

Algebraic expressions are expressions that contain variables (letters) and constants (numbers) combined with mathematical operations.

Transposing a formula means rearranging it to solve for a specific variable.

Evaluating an expression means finding its numerical value by substituting given values for variables.

Factorising an expression means breaking it down into its simplest factors.

Index notation is a way of representing repeated multiplication of a number by itself.

A zero exponent means any non-zero number raised to the power of zero is equal to 1.

Scientific notation is a way of writing very large or very small numbers in a compact form.

Simultaneous linear equations are a set of equations with more than one unknown, where solutions must satisfy all equations.

A quadratic equation is an equation where the highest power of the unknown variable is 2.

A logarithm is the exponent to which a base must be raised to produce a given number.

Complementary angles are two angles that add up to 90 degrees.

Supplementary angles are two angles that add up to 180 degrees.

A triangle is a three-sided polygon.

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Trigonometry is a branch of mathematics that deals with the relationships between angles and sides of triangles.