What identifies whether the given operation is closed or not closed with respect to each set of numbers. a. closed b. not

9 answers
Question:

what identifies whether the given operation is closed or not closed with respect to each set of numbers.
a. closed
b. not closed
positive integers are under subtraction.
rational numbers are under multiplication.
negative real numbers are under division.
irrational numbers are under addition.

Answers

You need to be more specific, i can't answer the question without it

1st is not closed.

2nd is closed

3rd is not closed

4th is closed

Step-by-step explanation:

#1 not closed
#2 closed
#3 not closed
#4 not closed

Irrational numbers are "not closed" under addition, subtraction, multiplication or division.

Step-by-step explanation:

No, irrational numbers are not closed under multiplication.

Step-by-step explanation:

Irrational numbers are the numbers that cannot be demonstrated in the form of a fraction [tex]\frac{x}{y}[/tex]. We can define rational numbers in other ways as well. Irrational numbers are the numbers which when written in decimal form, the decimal expansion does not end. For example √2, √3, etc.

The closed property of multiplication of irrational numbers state that if two irrational numbers are multiplied, then their product is also an irrational number.

Let a and b be two irrational numbers, then a×b = c(c is product of a and b), c should also be an irrational number.

Irrational numbers are not closed under multiplication and this can be illustrated with the help of an example:

√2 × √2 = 2

It is clear that 2 is not an irrational number.

Hence, irrational numbers are not closed under multiplication.

Yes, The rational numbers are closed under multiplication.

Step-by-step explanation:

A rational number is a number which can be expressed in the form of a fraction [tex]\frac{x}{y}[/tex], where x and y are integers and y ≠ 0.

Now, closure property of multiplication states that if two rational numbers are multiplied then the product is also a rational number. Thus, if r and t are rational numbers, then

r×t = s, where s is the product of r and t

s is also a rational number.

Hence, the rational numbers are closed under multiplication.

This can be better explained with the help of an example [tex]\frac{3}{4} \times \frac{2}{5} = \frac{6}{20}[/tex],

It is clear that [tex]\frac{6}{20}[/tex] is a rational number.

Do you remember the answer..? I need help as well.

Real numbers are closee under addition.

Explanation: that means that the addtion of two real numbers is always a real number.

Integers are not closed under division.

Explanaton: that means that when  you dived an integer number by another integer number the result may be a non integer number.

Irrational numbers are not closed under multiplication.

Explanation: that means that the multiplication of two irrational numbers may result in a rational number.

Rational numbers are closed  under subtraction.

Explanation: that means that the result of the subtraction of rational numbers is always a rational number.

Real numbers are a. closed under multiplication

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