Add and Subtract Integers and Rational Numbers

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What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

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What is a rational number?

Back

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 integers?

Back

When adding two negative integers, you add their absolute values and keep the negative sign. For example, -3 + (-2) = -5.

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What is the result of adding a positive integer to a negative integer?

Back

The result depends on the absolute values of the integers. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative.

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What is the rule for subtracting integers?

Back

To subtract an integer, add its opposite. For example, to calculate 5 - (-3), you can rewrite it as 5 + 3.

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What happens when you subtract a negative number from a positive number?

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Subtracting a negative number is the same as adding its positive counterpart. For example, 5 - (-20) = 5 + 20 = 25.

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The result is 4.

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What is the absolute value of a number?

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The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-5| = 5.