The Rationality of Addition and Multiplication: The Invariable Rationality of the Sum and Product of Two Rational Numbers

sum or product of two rational numbers is

The sum or product of two rational numbers is also a rational number

The sum or product of two rational numbers is also a rational number.

A rational number is any number that can be expressed as a fraction, where the numerator and denominator are both integers. For example, 1/2, 3/4, and -5/8 are all rational numbers.

When you add or multiply two rational numbers, you are essentially performing the same operation as adding or multiplying two fractions.

For addition, you simply add the numerators and keep the common denominator. For example, if you want to add 1/2 and 3/4, you add the numerators (1 + 3 = 4) and keep the denominator the same (2). So, the sum is 4/2 which simplifies to 2.

For multiplication, you multiply the numerators together and the denominators together. For example, if you want to multiply 1/2 and 3/4, you multiply the numerators (1 * 3 = 3) and the denominators (2 * 4 = 8). So, the product is 3/8.

In both cases, the resulting number is still a fraction, and therefore a rational number.

Therefore, the sum or product of two rational numbers is always a rational number.

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