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?

Back

When adding two rational numbers with the same sign, add their absolute values and keep the common sign.

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How do you add two rational numbers with different signs?

Back

When adding two rational numbers with different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the number with the larger absolute value.

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How do you subtract a negative rational number from a positive rational number?

Back

Subtracting a negative number is the same as adding its positive counterpart.

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Front

If Mr. Smith has an account balance of -$275.78 and deposits $539.20, what is his new balance?

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His new balance is $263.42.

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What is the final score if Emilio scored 20 points, lost 10 points, and then lost 25 points?

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Emilio's final score is -15 points.

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What is the rule for adding two positive rational numbers?

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The sum of two positive rational numbers is always positive.