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Is the quotion of any two nonzero integers is a rational number true?
The definition of a rational number is the quotient of any two nonzero integers.
Is every rational number a real number true or false?
Yes. Rational numbers are always the quotient of two integers. Integers are always real, and you cannot divide a real number by another real number and get an imaginary number. So, true.
Is the product of a rational number and an integer is not an integer?
True. In general, the product is not an integer.
Integers are a subset of rational numbers?
true
Is -38 a rational number?
Yes, since it can be written as a ratio of two integers: 19/5
Why is it true that the product of any two integers is a rational number?
Yes, it is true.
Is the quotion of any two nonzero integers is a rational number true?
The definition of a rational number is the quotient of any two nonzero integers.
Is every rational number a real number true or false?
Yes. Rational numbers are always the quotient of two integers. Integers are always real, and you cannot divide a real number by another real number and get an imaginary number. So, true.
Is it true product of a non zero rational number and irrational number is rational number?
It is always FALSE.
Are some rational numbers integers?
That's a true statement. Another true statement is: All integers are rational numbers.
an integer is always a rational number, but a rational number is not always an integer. Provide an example to show that this statement is true?
Integers are counting numbers or include them. 1/2 is a rational number that is not a couinting number.
If a number is a element of the set or rational numbers is ig also an element of the set of integers?
That is not true.
Is the product of a rational number and an integer is not an integer?
True. In general, the product is not an integer.
Integers are a subset of rational numbers?
true
Is -38 a rational number?
Yes, since it can be written as a ratio of two integers: 19/5
Why it's true that all integers are rational numbers?
Because any fraction is a rational number and as for example 5 as a fraction is 5/1
The square of any rational number is rational?
Well, isn't that just a happy little fact! You see, when you square a rational number, you're just multiplying it by itself. Since multiplying two rational numbers always gives you another rational number, the square of any rational number will also be rational. Just like painting a beautiful landscape, math can be full of wonderful patterns and harmonious relationships.
