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What is a quotient of integers?
A quotient of integers is the result of dividing one integer by another. When dividing two integers, the result may be a whole number if the division is exact, or a decimal/fraction if there is a remainder. For example, when dividing 10 by 2, the quotient is 5, which is also an integer.
All rational numbers are also integers?
No; 3/4 is rational but not an integer.
The quotient of two integers is always a rational number?
Yes. All numbers are rational numbers except repeating decimals like 1.3(repeating). * * * * * Repeating decimals are also rationals. However, the quotient is not defined if the second number is the integer zero!
Is the square root of 7 an integer?
No. Integers are counting numbers, or whole numbers.Only squares of integers (e.g. 4, 9, 16, 25) can have integer roots.Square roots of numbers that are not squares of integers are also not rational numbers, because they have repeating or non-repeating decimal extensions.
Are percents integers?
Any number which is a whole number (0, 8, 87, 453 ...and so) is an integer. Technically, integers also include negative whole numbers but it is unlikely that this is of concern in relation to this question. In a percentage expression such as 23%, 76% then 23 and 76 are integers. With expressions such as 14.6%, 51.9% then the numbers are not integers. The result of a percentage calculation may result in an integer solution, 14.5% of 5800 = 841 even though one of the terms is a non-integer number. Equally, a calculation can result in a non-integer solution even when the opening terms are all integers such as 17% of 53 = 9.01
