HW#5 Rational Numbers Operations

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What is a rational number?

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A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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What is the sum of two rational numbers?

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The sum of two rational numbers is found by finding a common denominator and adding the numerators.

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How do you add a positive and a negative rational number?

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To add a positive and a negative rational number, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.

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How do you subtract rational numbers?

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To subtract rational numbers, change the subtraction to addition of the opposite and follow the rules for adding rational numbers.

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What is the difference between a proper fraction and an improper fraction?

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A proper fraction has a numerator smaller than its denominator, while an improper fraction has a numerator that is greater than or equal to its denominator.

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What is the product of two rational numbers?

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The product of two rational numbers is found by multiplying their numerators together and their denominators together.

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What is the quotient of two rational numbers?

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The quotient of two rational numbers is found by multiplying the first number by the reciprocal of the second number.

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What does it mean to simplify a rational number?

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To simplify a rational number means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common divisor.