Proportion or Not

Front

What is a proportion?

Back

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

Front

How do you determine if two ratios are in proportion?

Back

Two ratios are in proportion if the cross products are equal.

Front

What is the cross product of the ratios 3:4 and 9:12?

Back

The cross product is 3 * 12 = 36 and 4 * 9 = 36, so they are in proportion.

Front

Are the ratios 3:7 and 2:3 in proportion?

Back

No, because 3 * 3 ≠ 7 * 2.

Front

Is 1:2 equivalent to 50:100?

Back

Yes, because 1/2 = 50/100.

Front

What is the first step to check if two ratios are proportional?

Back

Calculate the cross products of the two ratios.

Front

If the ratios 5:10 and 2:4 are given, are they proportional?

Back

Yes, because 5 * 4 = 20 and 10 * 2 = 20.

Front

What does it mean if two ratios are not proportional?

Back

It means that the cross products of the ratios are not equal.

Front

Can you give an example of two ratios that are not proportional?

Back

Yes, 2:5 and 3:7 are not proportional because 2 * 7 ≠ 5 * 3.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division.