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 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 result of adding a positive and a negative rational number?

Back

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

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 rule for dividing rational numbers?

Back

To divide by a rational number, multiply by its reciprocal (flip the second fraction and multiply).

Front

What is the difference of –96.43 – (–98.67)?

Back

The difference is 2.24.

Front

If Nancy spent $44.59 on 5.25 quarts of olive oil, what is the cost of one quart?

Back

The cost of one quart is $8.49.

Front

How do you calculate the total deductions from multiple paychecks?

Back

Multiply the amount deducted from one paycheck by the number of paychecks received.

Front

If Mrs. Thomas has $71.00 and each bottle of juice costs $3.55, how many bottles can she buy?

Back

Mrs. Thomas can buy 20 bottles.