Multiplying 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

What does 'of' mean in a mathematical context?

Back

In mathematics, 'of' typically means to multiply. For example, '3/8 of 24' means 3/8 multiplied by 24.

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, (a/b) x (c/d) = (a*c)/(b*d).

Front

What is the product of -1/3 and 2/5?

Back

-2/15

Front

What is the product of -3/8 and 4/5?

Back

-3/10

Front

How do you interpret a negative rational number?

Back

A negative rational number indicates a value less than zero, often representing a loss or a decrease.

Front

What is the result of multiplying a positive and a negative rational number?

Back

The result is always negative. For example, 3/4 x -2/5 = -6/20 = -3/10.

Front

What is the result of multiplying two negative rational numbers?

Back

The result is always positive. For example, -1/2 x -3/4 = 3/8.

Front

How do you simplify the fraction 16/24?

Back

Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 8. So, 16/24 simplifies to 2/3.

Front

What is the average change in shore at a beach if it changes by -3/4 feet each year for 7 years?

Back

-5 1/4 feet.