1. Numbers and the Number System

What are integers?

Integers are positive zero while whole numbers

What is place value

The value of a digit based on its position in a number

How do you simplify a fraction?

By cancelling common factors

What are equivalent fractions?

Fractions that represent the same value even if they have different numerators and denominators

How do you convert a fraction to a percentage?

Divide the numerator and denominator, multiply by 100 to get percentage

What is index notation?

A way of writing numbers using powers

Define a set

A collection of objects, considered as an object in its own right

What does percentage mean?

Number of parts per 100

What is the universal set?

The set of all possible elements

What is an empty set?

A set containing no elements

Round 1234 to the nearest 10

1230

Express 0.65 as a fraction

65/100

What is the notation for an empty set

Express 3/5 as a percentage

60%

Express 25% as a fraction

1/4

How do you convert recurring decimal into fractions?

Use algebraic methods to eliminate the recurring part

What are surds?

Irrational numbers that involve square root (or cube root etc)

How do you rationalise a denominator?

Multiply the numerator and denominator by a suitable expression to eliminate the square root in the denominator

If A is a subset of B what is the notation?

What is standard form?

A system of writing numbers which can be particularly useful for working with very large or really small numbers by using powers of ten.

a x 10^n

Where a is 1 < a < 10 , and n is an integer