Cross Products and Proportions

Front

What is cross multiplication?

Back

Cross multiplication is a method used to determine if two ratios or fractions are equal by multiplying the numerator of one fraction by the denominator of the other and vice versa.

Front

When are two proportions considered equal?

Back

Two proportions are considered equal when the cross products are equal.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

What does the term 'equivalent' mean in mathematics?

Back

Equivalent means having the same value or amount, often used to describe equal ratios or fractions.

Front

Solve the proportion: 2/3 = x/6. What is x?

Back

x = 4.

Front

If 4/5 = x/25, what is the value of x?

Back

x = 20.

Front

What is the first step in solving a proportion?

Back

The first step is to cross multiply.

Front

Are the ratios 1/2 and 2/4 equivalent?

Back

YES, they are equivalent.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

If a/b = c/d, what does this imply?

Back

This implies that ad = bc, which is the result of cross multiplication.