Adding and 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.

Front

How do you add two rational numbers with the same sign?

Back

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

Front

How do you add two rational numbers with different signs?

Back

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

Front

What is the process for subtracting rational numbers?

Back

To subtract rational numbers, you can add the opposite of the number being subtracted.

Front

What is the first step in adding rational numbers?

Back

The first step is to determine if the rational numbers have the same or different signs.

Front

What does it mean to find a common denominator?

Back

Finding a common denominator means identifying a common multiple of the denominators of two or more fractions to facilitate addition or subtraction.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions.

Front

How do you convert a fraction to an equivalent fraction?

Back

To convert a fraction to an equivalent fraction, multiply both the numerator and the denominator by the same non-zero integer.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to work with and understand, and it helps in finding the least common denominator.

Front

What is the rule for subtracting fractions with the same denominator?

Back

When subtracting fractions with the same denominator, subtract the numerators and keep the denominator the same.