Yes, when adding two negative rational numbers, the sum will always be negative. This is because adding two negative values results in a greater negative value, effectively moving further away from zero on the number line. For example, adding -2 and -3 gives -5, which is negative.
Only if the negative sign is associated with an even root. In that case, the number is neither rational nor irrational, but is imaginary.
Statement 1 is true but totally unnecessary. As integer is always a rational and you do not need to convert it to a fraction to determine whether or not it is rational. A negative fraction is can be rational or irrational. The fact that it is negative is irrelevant to its rationality. An integer number over a zero denominator is not defined and so cannot be rational or irrational or anything. It just isn't.
Adding and subtracting integers is a specific case of adding and subtracting rational numbers, as integers can be expressed as rational numbers with a denominator of 1. The fundamental rules for adding and subtracting integers—such as combining like signs and using the number line—apply similarly to other rational numbers, which can include fractions and decimals. The operations are governed by the same principles of arithmetic, ensuring that the properties of addition and subtraction, such as commutativity and associativity, hold true across both integers and broader rational numbers. Thus, mastering integer operations provides a solid foundation for working with all rational numbers.
No, it is always true.
Yes, since it can be written as a ratio of two integers: 19/5
No, it is not true.
No, that is not true.
TRUE
sometimes true (when the rational numbers are the same)
Only if the negative sign is associated with an even root. In that case, the number is neither rational nor irrational, but is imaginary.
Statement 1 is true but totally unnecessary. As integer is always a rational and you do not need to convert it to a fraction to determine whether or not it is rational. A negative fraction is can be rational or irrational. The fact that it is negative is irrelevant to its rationality. An integer number over a zero denominator is not defined and so cannot be rational or irrational or anything. It just isn't.
It will be rational.
No, it is always true
No, it is always true
No, it is always true.
No if its negative it lowers its absolute value.
Adding two negative numbers will always be negative. Subtracting two negative numbers may be positive or negative. Dividing or multiplying two negative numbers will always be positive.No