Multiplying and Dividing Rational Numbers Review

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 multiply two rational numbers?

Back

To multiply two rational numbers, multiply their numerators together and their denominators together. The product is then simplified if possible.

Front

What is the process for dividing rational numbers?

Back

To divide two rational numbers, multiply the first rational number by the reciprocal of the second rational number.

Front

What is the average change in a quantity?

Back

The average change is calculated by dividing the total change by the number of intervals over which the change occurred.

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 the result over the original denominator.

Front

What is the significance of negative numbers in rational number operations?

Back

Negative numbers indicate a decrease or loss in value, and their presence affects the sign of the result in multiplication and division.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the relationship between multiplication and division of rational numbers?

Back

Multiplication and division are inverse operations; dividing by a number is the same as multiplying by its reciprocal.

Front

How can you determine how many items can be made from a given quantity?

Back

To determine how many items can be made, divide the total quantity by the amount needed for one item.

Front

What is the formula for calculating the total change in a quantity?

Back

Total change = Final value - Initial value.