Adding 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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What is the opposite of a number?

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The opposite of a number is the number that is the same distance from zero on the number line but in the opposite direction.

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What is absolute value?

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The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

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How do you add two rational numbers with different denominators?

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To add two rational numbers with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

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What is the sum of a positive and a negative rational number?

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The sum of a positive and a negative rational number depends on their absolute values. If the positive number's absolute value is greater, the result is positive; if the negative's is greater, the result is negative.

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What is the result of adding two negative rational numbers?

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The result of adding two negative rational numbers is always a negative rational number.

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What is the result of adding two positive rational numbers?

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The result of adding two positive rational numbers is always a positive rational number.

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What is the integer representation of a loss in a game?

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A loss in a game can be represented as a negative integer, indicating a decrease from the starting point.

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If a scuba diver is at -100 feet and rises 25 feet, what is their new elevation?

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The new elevation is -75 feet, calculated as -100 + 25.

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