Rational Numbers Word Problems

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 to an equivalent fraction with that denominator, 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

How do you multiply two rational numbers?

Back

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

Front

What is the rule for dividing rational numbers?

Back

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

Front

What is the significance of negative signs in rational numbers?

Back

Negative signs indicate the direction or value below zero; they affect the overall value of the rational number.

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator.

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; it is always non-negative.

Front

How do you find the distance between two points on a number line?

Back

To find the distance between two points on a number line, subtract the smaller number from the larger number and take the absolute value of the result.

Front

What is the formula for finding the average change in a quantity?

Back

The average change in a quantity can be found by dividing the total change by the number of intervals over which the change occurred.