Operations with 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 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 result of adding a positive rational number and a negative rational number?

Back

The result can be positive, negative, or zero, depending on the absolute values of the numbers being added.

Front

How do you subtract rational numbers?

Back

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

Front

What is the product of two negative rational numbers?

Back

The product of two negative rational numbers is a positive rational number.

Front

What is the quotient of a positive rational number divided by a negative rational number?

Back

The quotient of a positive rational number divided by a negative rational number is a negative rational number.

Front

How do you multiply two rational numbers?

Back

To multiply two rational numbers, multiply their numerators and multiply their denominators.

Front

What is the first step in dividing rational numbers?

Back

The first step in dividing rational numbers is to multiply the dividend by the reciprocal of the divisor.

Front

What does it mean to simplify a rational number?

Back

To simplify a rational number means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common factor.

Front

How do you convert a decimal to a rational number?

Back

To convert a decimal to a rational number, write it as a fraction with a denominator based on the place value of the last digit.