Operations with Rational Numbers 7.3B

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 different denominators?

Back

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

Front

What is the process for subtracting rational numbers?

Back

To subtract rational numbers, convert them to have a common denominator, then subtract the numerators and keep the common denominator.

Front

What is the rule for multiplying rational numbers?

Back

To multiply rational numbers, multiply the numerators together and the denominators together.

Front

How do you divide rational numbers?

Back

To divide rational numbers, multiply by the reciprocal of the divisor.

Front

What is the absolute value of a rational number?

Back

The absolute value of a rational number is its distance from zero on the number line, regardless of direction.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator to find the whole number, and use the remainder as the new numerator.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) of two or more numbers is the largest number that divides each of the numbers without leaving a remainder.