________ are closed under subtraction.a)Irrational numbersb)Negative n...
Rational numbers are closed under subtraction.Because if we subtract a rational number with another rational number we will get rational number. For example 45−35 = 10, which is also a rational number.
Correct option is C.
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________ are closed under subtraction.a)Irrational numbersb)Negative n...
Explanation:
Rational numbers: These are the numbers which can be expressed in the form of p/q, where p and q are integers and q ≠ 0. For example, 1/2, -3/4, 13/5, etc.
Subtraction of rational numbers: If we subtract one rational number from another, the result will always be a rational number.
For example, let's subtract 2/3 from 5/6:
5/6 - 2/3 = (5*2 - 2*3)/(6*3) = 4/9
Here, both 5/6 and 2/3 are rational numbers, and their difference 4/9 is also a rational number.
Closed under subtraction: A set of numbers is said to be closed under a mathematical operation if, when any two numbers in the set are combined using that operation, the result is also in the set. In other words, if we perform the given operation on any two numbers in the set, the resulting number will also belong to that set.
Rational numbers are closed under subtraction: We have just seen that if we subtract one rational number from another, the result is always a rational number. This means that the set of rational numbers is closed under subtraction.
Therefore, option C is the correct answer.
________ are closed under subtraction.a)Irrational numbersb)Negative n...
Correct answer is 'C' because the subtraction of one rational number from another one gives us another rational number. For eg:- (-3/5 ) - 9/ 7 = -66/ 35 .
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