Adding and Subtracting Rational Numbers

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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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How do you add two rational numbers with the same sign?

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When adding numbers with the same sign, you add their absolute values and keep the sign.

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How do you add two rational numbers with different signs?

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When adding numbers with different signs, you subtract their absolute values and take the sign of the number with the larger absolute value.

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When subtracting rational numbers, what is the first step?

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The first step is to find a common denominator if the fractions have different denominators.

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What does it mean to have a common denominator?

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A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

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What is the rule for subtracting fractions?

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To subtract fractions, convert them to have a common denominator, then subtract the numerators and keep the common denominator.

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