No.
Note: Not all quotients of fractions (e.g. 3/2=1.5) are an integer. 1.5 is NOT an integer (it is real/rational number), because it is NOT 0 (zero) or one of the positive or negative numbers. (See below for more specific definitions of fraction and integer numbers).
Fraction:
A fraction is simply a number that is usually expressed as a/b or as a ratio of algebraic quantities similarly expressed. For example 1/2, 3/2, -3/2, sqrt 2/2, etc.
Integer:
An integer is 0 (zero) or one of the positive or negative numbers (i.e. the set {..., -3, -2, -1, 0, 1, 2, 3, ...} )
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Previous Response/s:
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A3:
No. An integer is any whole number, both negative and positive, while a fraction is anything that isn't a whole number.
** The above statement "...An integer is any whole number, both negative and positive, while a fraction is anything that isn't a whole number." is INCORRECT.
-- An integer is 0 (zero) OR one of the positive OR negative numbers (i.e. the set {..., -3, -2, -1, 0, 1, 2, 3, ...})
-- Whole numbers are also called counting numbers. They are the set {0, 1, 2, 3, ...}. Negative numbers are NOT whole numbers and 0 is neither a negative nor a positive number.
-- A fraction is NOT "anything that isn't a whole number." (for example the square root of 2 (i.e. 2^(1/2)) is a number that is NOT a fraction and x^3 also evaluates to a number that isn't a fraction. Please open a math book or at least consult the dictionary before answering with an erroneous answer.
A2:
Fraction means part of a whole, so, no. No fractions in their lowest form are integers. 12/3 is not in its lowest form.
A1:
Most are not, as stated above, but even a fraction not in the lowest form is an integer. 12/3 is an integer because it is 4 but 2/3 is not an inteter because it is not a whole number.
All integers, including negative integers, are rational. They can all be expressed as a fraction with the denominator 1.
TrueYes.All rational numbers are a fraction of one integer (numerator) over another integer (denominator).All integers can be made into a[n improper] fraction over a denominator of 1.Thus all integers are rational numbers
Any number that can be expressed as a fraction is a rational number which includes integers because as for example 5 as a fraction is 5/1
They can be represented as a fraction of two integers.
a fraction is the representation of a number as the quotient of two integers. all rational numbers can be written as a fraction, and all fractions represent rational numbers.
A fraction is not an integer.
no, a rational number can also be a fraction or decimal
No. They would then be mixed numbers, not integers.
yes it can be i had it on a test and got it rightAnswer:No, integers cannot be irrational. Any number that is rational is, by definition, not irrational. Any number that can be expressed as a fraction composed of integers is rational. All integers can be expressed as a fraction (and thus are rational) because they can all be expressed as themselves divided by 1.
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.
Because any fraction is a rational number and as for example 5 as a fraction is 5/1
A number that can be expressed as a ratio in fraction form is called a rational number. Rational numbers include integers, which are whole numbers (both positive and negative) and zero. Since integers can be represented as a fraction with a denominator of 1 (e.g., 5 can be written as 5/1), they are indeed a subset of rational numbers. Therefore, all integers are rational numbers, but not all rational numbers are integers.