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 negative rational numbers?

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To add two negative rational numbers, you add their absolute values and keep the negative sign. For example, -3 + (-5) = -(3 + 5) = -8.

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What is the result of subtracting a negative number from a positive number?

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Subtracting a negative number is the same as adding its absolute value. For example, 5 - (-3) = 5 + 3 = 8.

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What is the formula for adding rational numbers with different signs?

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When adding rational numbers with different signs, 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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What is the first step in adding rational numbers?

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Identify the signs of the numbers. If they have the same sign, add their absolute values and keep the sign. If they have different signs, subtract the smaller absolute value from the larger one.