Word Problems 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 process for subtracting rational numbers?

Back

To subtract rational numbers, find a common denominator, convert the fractions, and then subtract the numerators.

Front

How do you multiply two rational numbers?

Back

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

Front

What is the method for dividing rational numbers?

Back

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

Front

How do you solve a word problem involving addition of rational numbers?

Back

Identify the quantities involved, convert them to rational numbers if necessary, and then perform the addition.

Front

What is the first step in solving a word problem with subtraction?

Back

Read the problem carefully to identify what is being subtracted and from what.

Front

How can you represent a negative rational number on a number line?

Back

A negative rational number is represented to the left of zero on a number line.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common divisor.

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.