Mathematics is the science of numbers as Aristotle defined. Here we have collected all the important mathematics definitions. Browse these definitions or use the Search function for a specific definition.

Math Definitions

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There are currently 12 definitions in this directory beginning with the letter S.
Sale Price
The price after the original price has been reduced by a discount.

The sale price here is $8.00

If the discount is a percentage we must first work out the discount amount:
• discount amount = original price × discount rate
• then subtract that from the original price

Example: the shirt shop is having a 10% discount sale
The t-shirt's normal price is $23
• discount amount = $23 × 10% = $2.30
• then $23 - $2.30 = $20.70 (the Sale Price)

Semicircle
Half a circle (made by a diameter and the connecting arc)

Its area is half of a circle's area: πr2/2
Its perimeter is half of a circle's perimeter plus the diameter: πr + 2r

Set
A collection of "things" (objects or numbers, etc).

Here is a set of clothing items.

Each member is called an element of the set.

A set has only one of each member (all members are unique).

Example: {1,2,3,4} is the set of counting numbers less than 5

Simple Interest
Interest calculated as a percent of the original loan.

Example: a 3-year loan of $1,000 at 10% costs 3 lots of 10%
So the interest is 3 × $1,000 × 10% = $300

(Simple interest is almost never used in the real world, with compound interest being preferred.)

Speedometer
A device for measuring and displaying speed.

Sphere
A 3-dimensional object shaped like a ball.

Every point on the surface is the same distance from the center.

Square Numbers
A number multiplied by itself is called square numbers

Square Root
A square root of a number is a value that, when multiplied by itself, gives the number.

Example: 4 × 4 = 16, so a square root of 16 is 4.

Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16.

The symbol is √ which always means the positive square root.

Example: √36 = 6 (because 6 x 6 = 36)

Standard Deviation
A measure of how spread out numbers are.

It is the square root of the Variance,
and the Variance is the average of the squared differences from the Mean.

Subset
Part of another set.

A is a subset of B when every member of A is a member of B.

Example: B = {1,2,3,4,5}
Then A = {1,2,3} is a subset of B
Other subsets of B include {2,3} or {1,4,5} or {4} etc...
But {1,2,6} is NOT a subset of B as it has 6 (which is not in B)

Subtraction
Subtraction is taking one number away from another.

Subtrahend
The number that is to be subtracted.

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