lt is customary to write the denominator of the quotient as____ integer.
Answers
Answer:Integer part definition
The quotient is also less commonly defined as the greatest whole number of times a divisor may be subtracted from a dividend without the remainder becoming negative. For example, the divisor 3 may be subtracted up to 6 times from the dividend 20 before the remainder becomes negative:
20 − 3 − 3 − 3 − 3 − 3 − 3 ≥ 0,
while
20 − 3 − 3 − 3 − 3 − 3 − 3 − 3 < 0.
In this sense, a quotient is the integer part of the ratio of two numbers.[2]
Quotient of two integers
Main article: Rational number
The definition of a rational number is the quotient of two integers (as long as the denominator is not a zero).
More formal definitions:[3]
A real number r is rational if, and only if, it can be expressed as a quotient of two integers with a nonzero denominator. A real number that is not rational is irrational.
Even more formally:
if r is a real number, then r is rational ⇔ ∃ integers a and b such that {\displaystyle r={\frac {a}{b}}}{\displaystyle r={\frac {a}{b}}} and {\displaystyle b\neq 0}b\neq 0.
The existence of irrational numbers – numbers that are not a quotient of two integers – was first discovered in geometry in such things as the ratio of the diagonal of a square to the side.
Answer:
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