Adding & Subtracting Rational Numbers

Front

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 find the distance between two numbers on a number line?

Back

To find the distance between two numbers, subtract the smaller number from the larger number and take the absolute value of the result.

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

Back

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

Front

What does it mean to subtract a negative number?

Back

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

Front

How do you add fractions with different denominators?

Back

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

Front

What is the first step in solving an equation with rational numbers?

Back

Identify and isolate the variable on one side of the equation.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

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Back

Front

If you have -$12.32 and deposit $30, what is your new balance?

Back

Your new balance is $17.68.

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Back

The result is 1.2.