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Why can't a negative number be rational?
A negative number can indeed be rational. A rational number is defined as any number that can be expressed as the quotient of two integers, where the denominator is not zero. For example, -3/4 and -2 are both negative rational numbers. Thus, negative numbers can be rational as long as they fit this definition.
Why is two the rational number between negative ten and ten?
3 and 4 are two examples.
Is a negative square root rational?
A negative square root is not rational because it is typically represented as an imaginary number. For example, the square root of a negative number, such as -1, is expressed as "i," where i is the imaginary unit. Rational numbers are defined as numbers that can be expressed as the quotient of two integers, and imaginary numbers do not fit this definition. Thus, negative square roots are not considered rational.
Is the square root of negative 108 rational?
No, the square root of negative 108 is not rational. The square root of a negative number involves imaginary numbers, specifically it can be expressed as ( \sqrt{-108} = \sqrt{108}i ), where ( i ) is the imaginary unit. Since rational numbers are defined as numbers that can be expressed as a fraction of two integers, and imaginary numbers cannot be represented in this way, the square root of negative 108 is not rational.
Which pair of rational numbers lie between 0.09 and 0.08?
There are infinitely many rational numbers between any two numbers. Examples here are:0.0800000000000000010257 0.080000000000000001025703
When multiplying and dividing rational numbers how do you know if the answer will be a negative?
It the two rational numbers have different signs, then the answer will be negative, otherwise it will be positive.
Is the two rational numbers is always negative?
No.
Is the difference between two rational Numbers always negative?
No.
Why can't a negative number be rational?
A negative number can indeed be rational. A rational number is defined as any number that can be expressed as the quotient of two integers, where the denominator is not zero. For example, -3/4 and -2 are both negative rational numbers. Thus, negative numbers can be rational as long as they fit this definition.
Is is true the difference of two rational numbers is always negative?
No, it is not true.
Is it possible to add two rational numbers and get a negative number?
Yes, it is.
When adding two negative rational numbers the sum will be negative sometimes never always?
Never.
Why is two the rational number between negative ten and ten?
3 and 4 are two examples.
Is a negative square root rational?
A negative square root is not rational because it is typically represented as an imaginary number. For example, the square root of a negative number, such as -1, is expressed as "i," where i is the imaginary unit. Rational numbers are defined as numbers that can be expressed as the quotient of two integers, and imaginary numbers do not fit this definition. Thus, negative square roots are not considered rational.
Explain different ways it is possible to add two rational numbers to get a negative number?
Let x and y be two rational numbers. If both x and y are negative then their sum will be negative.If only one of them, say x, is positive (so that y is negative), and if the absolute value (or magnitude) of y is greater than x then their sum will be negative.
What do you notice about the quotient of two rational numbers with different signs?
The quotient is negative.
Is the square root of negative 108 rational?
No, the square root of negative 108 is not rational. The square root of a negative number involves imaginary numbers, specifically it can be expressed as ( \sqrt{-108} = \sqrt{108}i ), where ( i ) is the imaginary unit. Since rational numbers are defined as numbers that can be expressed as a fraction of two integers, and imaginary numbers cannot be represented in this way, the square root of negative 108 is not rational.
