California Assessment of Student Performance and Progress (CAASPP) Math Practice Exam

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How is a ratio expressed?

As the sum of two numbers
As a comparison of numbers or quantities by division
As an average of the data points
As the middle number in a sequence

The correct answer is: As a comparison of numbers or quantities by division

A ratio is expressed as a comparison of two or more numbers or quantities by division. This means that a ratio illustrates how much of one quantity there is in relation to another, effectively showing the relative size of the two values. For example, if you have a ratio of 3 to 2, it can be expressed mathematically as 3:2 or as the fraction 3/2. This indicates that for every 3 parts of one quantity, there are 2 parts of another quantity. Understanding a ratio in this manner is crucial, as it provides a clear and concise way to compare different amounts, making it fundamental in various mathematical contexts, such as scaling recipes, analyzing data, or solving problems involving proportions. This approach highlights the relationship between the quantities rather than simply summing them or taking averages.