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The quotient of two integers is another integer when the divisor (the second integer) divides the dividend (the first integer) evenly, meaning there is no remainder. In mathematical terms, if ( a ) and ( b ) are integers, ( a \div b ) is an integer if ( b \neq 0 ) and ( a ) is a multiple of ( b ). For example, ( 6 \div 2 = 3 ) is an integer, while ( 7 \div 2 ) is not.
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If the quotient of two numbers is an integer then both number must be integers?
No, it is not necessary for both numbers to be integers for their quotient to be an integer. For example, if you divide a rational number by another rational number that shares a common factor, the result can still be an integer. For instance, ( \frac{4.0}{2.0} = 2 ), where both numbers are not integers but the quotient is an integer. However, if both numbers are integers, their quotient will also be an integer if the numerator is divisible by the denominator.
Why the quotient of two integers is not always an integer?
The quotient of two integers is not always an integer because division may result in a non-integer value when the numerator is not evenly divisible by the denominator. For example, dividing 5 by 2 gives 2.5, which is not an integer. Only when the numerator is a multiple of the denominator will the quotient be an integer.
Is the quotient of two integers not always an integer?
Yes because it could be a fraction for example 2/4 = 1/2
Can an irrational number sometimes be expressed as a quotient of integers?
The definition of an irrational number is that it cannot be expressed as the quotient of 2 integers, so no.
What is the definition of add integers?
An integer is a whole number. Some examples are 0, 1, 2, 3, etc. Negative whole numbers are also integers, e.g. -5. Add integers means take two or more integers and add them together. For example, 1+2=3 is an example of adding two integers (1 and 2) to get 3. Notice that 3 is also an integer. Adding integers together will always result in another integer. More than one integer can be added together. For example: 1+2+3=6.
If the quotient of two numbers is an integer then both number must be integers?
No, it is not necessary for both numbers to be integers for their quotient to be an integer. For example, if you divide a rational number by another rational number that shares a common factor, the result can still be an integer. For instance, ( \frac{4.0}{2.0} = 2 ), where both numbers are not integers but the quotient is an integer. However, if both numbers are integers, their quotient will also be an integer if the numerator is divisible by the denominator.
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.
What does quotient of two integers mean?
an integer is any whole number for example 1, -1, 72, -72 the quotient is the answer to a division problem so the quotient of 2 integers is one whole number divided by another whole number
Why the quotient of two integers is not always an integer?
The quotient of two integers is not always an integer because division may result in a non-integer value when the numerator is not evenly divisible by the denominator. For example, dividing 5 by 2 gives 2.5, which is not an integer. Only when the numerator is a multiple of the denominator will the quotient be an integer.
Is the quotient of two integers an integer?
Not always - for example, the quotient of 16 and 2 is equal to 16/2 = 8, but the quotient of 17 and 2 is equal to 17/2 = 8.5.
Is the quotient of two integers not always an integer?
Yes because it could be a fraction for example 2/4 = 1/2
One integer is 2 more than 5 times another integer If the difference of the two integers is 26. What is the smaller integer?
The smaller integer is 6, the larger integer is 32
Can an irrational number sometimes be expressed as a quotient of integers?
The definition of an irrational number is that it cannot be expressed as the quotient of 2 integers, so no.
What is the definition of add integers?
An integer is a whole number. Some examples are 0, 1, 2, 3, etc. Negative whole numbers are also integers, e.g. -5. Add integers means take two or more integers and add them together. For example, 1+2=3 is an example of adding two integers (1 and 2) to get 3. Notice that 3 is also an integer. Adding integers together will always result in another integer. More than one integer can be added together. For example: 1+2+3=6.
Is 13 over 2 an irrational number?
No. If you divide an integer by another integer, you get a rational number, by definition.13/2 is rational because it is a ratio of two integers.
What is 273 as a quotient of two integers?
546 ÷ 2
What are 2 integers with the sum of 16 and the quotient of -9?
They are 18 and -2.
