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 signs?

Back

To add two rational numbers with different signs, subtract the absolute values and keep the sign of the number with the larger absolute value.

Front

What is the result of adding -275.78 and 139.20?

Back

The result is -136.58.

Front

How do you multiply a positive rational number by a negative rational number?

Back

The product will be negative.

Front

What is 2/5 of 40?

Back

2/5 of 40 is 16.

Front

What does it mean for two quantities to vary directly?

Back

Two quantities vary directly if one quantity is a constant multiple of the other.

Front

If a car travels 280 miles in 7 hours, how far will it travel in 12 hours?

Back

It will travel 480 miles.

Front

What is the formula for finding the distance traveled when speed and time are known?

Back

Distance = Speed × Time.

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.

Front

What is the result of multiplying -7 and 1/5?

Back

The result is -7 1/5.