Arithmetic

8 videos in this playlist

Fractions - Basic Ideas
Fractions are ways of writing parts of whole numbers. This unit looks at the basic concept of fractions -- what they are, what they look like, why we have them…
This unit covers how to add and subtract simple fractions, and how to add and subtract mixed fractions by turning them into improper fractions.
Fractions: Multiplying and Dividing
This unit describes how to multiply fractions, and how to divide fractions by turning the second fraction upside down.
Decimals
This unit discusses the meaning of decimals and how they are related to fractions. Included are rounding to given numbers of decimal places or significant figures. Irrational numbers are also…
Percentages
This unit looks at the meaning of percentages and how to carry out calculations involving percentages. The use of the percentage button on calculators is also explained.
Ratios
A ratio is a way of comparing two or more similar quantities, by writing two or more whole numbers separated by colons.
Rules of Arithmetic
Evaluating expressions involving numbers is one of the basic tasks in arithmetic. But if an expression is complicated then it may not be clear which part of it should be…
Surds, and other Roots
Roots and powers are closely related, but only some roots can be written as whole numbers. Surds are roots which cannot be written in this way.

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Delve into irrational numbers--those that can't be expressed as the ratio of two whole numbers (i.e., as fractions) and therefore don't repeat. But how can we be sure they don't repeat? Prove that a famous irrational number, the square root of two, can't possibly be a fraction.
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