What is closing a rational number under addition And can you close them under subtraction multiplication and division?

already exists.

Would you like to merge this question into it?

already exists as an alternate of this question.

Would you like to make it the primary and merge this question into it?

exists and is an alternate of .

Rational numbers are numbers that can be expressed as a fraction a/b where a and b are both integers and b is not equal to zero. All integers n are rational numbers because they can be expressed as the fraction n/1. Rational numbers are closed under addition, subtraction, multiplication and division by a non-zero rational.
To be closed under addition, subtraction, multiplication and division by a non-zero rational means that if you have two rational numbers, when you add, subtract, multiple or divide them, you will get another rational number.

For example, take the rationals 1/3 and 4/3. When you add them together, you get another rational number, 5/3. Same with the other operations.

1/3 - 4/3 = -1 (remember integers are rational, too)

(1/3) * (4/3) = 4/9

(1/3) / (4/3) = 1/4
1 person found this useful

Are rational numbers closed under multiplication?

Rational numbers are closed under multiplication, because if you multiply any rational number you will get a pattern. Rational numbers also have a pattern or terminatge, which