# ARITHMETIC GLOSSARY

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Title Description
Identity Property of Addition The Identity Property of Addition says that adding zero to (or subtracting zero from) any real value will not change the value.
Identity Property of Multiplication The Identity Property of Multiplication says that multiplication of a real value by one (or division by one) will not change the value.
Impossibility Despite what some "possibility thinkers" espouse, some things are mathematically impossible.
For example, an exact real number cannot be simultaneously irrational and rational.
Increasing If the values in the range of a function increase as the values of the domain increase, the function is said to be Increasing.
Independent Variable Any one of the set of values from the domain; itâ€™s the input into the function.
Inequality Generally of one of the following four forms: less than, less-than-or-equal-to, greater than, or greater-than-or-equal-to.
Infinite In common language, not countable in any practical manner.
In math, having no bounds or boundary.
Infinitesimal Infinitely small is Infinitesimal, so tiny that it occupies no space.
While in human terms anything really small (a molecule) is Infinitesimal, in math the term means approaching zero in size.
Infinity That without bound; limitless.
Integer An Integer is a whole number or its negative.
When expressed as a decimal, an Integer has nothing to the right of the decimal point (in American style).
Interest Given the time-value-of-money, Interest is generated on a sum of capital as time passes.
Interior Interior means within or "in-between."
Intersection Where geometric entities cross, or where sets have common elements, is termed an Intersection.
Interval The space or region between two defined values is an Interval.
Inverse Variation Variables or factors that multiply to a constant value.
The relation between two variables, when their product is constant, are said to be in a relation of Inverse Variation.
Inversely Proportional The relationship between two variables when the product of two variables is a constant.
Two variables in a relation of Inverse Variation are said to be Inversely Proportional.
Irrational Number An Irrational Number cannot be expressed exactly as the ratio of two integers.
Irrational Numbers, when expressed as decimals, never repeat or terminate.

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