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NUMBER

Remainder

In the context of division requiring a whole number answer (quotient), the amount remaining after the operation. Example: 29 divided by 7 = 4 remainder 1.


Scalar

Scalar quantities have magnitude (size) but no direction. Temperature, for example, is a scalar. This sets them apart from vectors, which have size and direction (for example gravitational attraction, which acts towards the centre of a mass (mostly the Earth) and varies in size depending how far you are from the Earth). 


Sequence

A succession of terms formed according to a rule. There is a definite relation between one term and the next or between each term and its position in the sequence. Example: for the sequence 1, 4, 9, 16, 25 etc., each term is the square of number of the term's position in the sequence.


Sign

With numbers, a positive + or negative - sign indicates whether it is higher or lower than zero. It can also indicate direction in the sense of a vector, e.g. a ball thrown directly upwards could be said to have a negative velocity on its way back to the ground, to make it clear that it is moving in the opposite direction to which it started moving in.

Significant Figures

The run of digits in a number that is needed to specify the number to a required degree of accuracy. Additional zero digits may also be needed to indicate the number's magnitude. Examples: To the nearest thousand, the numbers 125 000, 2 376 000 and 22 000 have 3, 4 and 2 significant figures respectively; to 3 significant figures 98.765 is written 98.8


Simple Fraction

A fraction where the numerator and denominator are both integers. Also known as a common or vulgar fraction.


Square Number

A number that can be expressed as the product of two equal numbers. Example 36 = 6 x 6 and so 36 is a square number.


Surd

An expression including one or more square roots (or cube roots, fourth roots, etc.)


Uniform

Not changing; remaining constant. Uniform acceleration, for example, would be to increase speed at a constant rate. Gravitational acceleration on Earth is uniform up to the point of terminal velocity- a falling body gains an extra 9.8 metres per second of speed every second.


Vector

A quantity that has magnitude and direction, for example displacement. Displacement (for example one metre North) combines a scalar quantity (distance displaced) with a direction to make a vector quantity.



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