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They are called Irrational Numbers; numbers that can be expressed as a ratio of integers are called rational numbers. Some common irrational numbers are pi (3.14159...) and the square root of two.
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What are numbers that cannot be expressed as a ratio of two integers?
irrational numbers
How are irrational numbers different from other real numbers?
Rational numbers can be expressed as a ratio of two integers, irrational numbers cannot be expressed in that way.
Why are there irrational numbers?
Because there are numerical values which cannot be expressed as ratios of two integers. That is, there are numbers that are not rational.
Observations that deal with descriptions that cannot be expressed in numbers are called-?
Observations that deal with descriptions that cannot be expressed in numbers are called qualitative observations.
What makes a number irrational?
A real number is irrational if it is not rational - meaning it cannot be expressed as a ratio of two integers. Numbers like pi, e, the square root of 5, and uncountably infinite more cannot be expressed as a fraction (ratio) of two integers, and are thus irrational.
