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

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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
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