Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

Front

How do you find a missing value in a ratio table?

Back

To find a missing value, use equivalent ratios to set up a proportion and solve for the unknown.

Front

What does it mean for ratios to be equivalent?

Back

Ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

If the ratio of A to B is 2:5, what is the value of B if A is 8?

Back

B = 20, because 8 is 2/5 of 20.

Front

What is the value of C in the ratio table if A is 8 and the ratio is 8:24:C?

Back

C = 72, because the ratios are equivalent (8/24 = 1/3, so C must be 72).

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.

Front

What is the value of A in the ratio table if B is 70 and the ratio is A:70:30?

Back

A = 30, because the ratios are equivalent (A/70 = 30/70).

Front

What is the purpose of using ratio tables in problem-solving?

Back

Ratio tables help organize information and make it easier to find missing values and understand relationships between quantities.

Front

If the ratio of 4:12 is simplified, what is the simplest form?

Back

The simplest form of 4:12 is 1:3.