Chapter 5, Problem 1VR

Complete each statement with the correct term from the column on the right. Some of the choices may be used more than once, and some may not be used.

positive

negative

proportional

proportion

rational

complex

constant

inverse

direct

joint

An equality of ratios, $A/B=C/D$, is called a(n) _________. [5.6b]

To determine

To fill: The blank in the statement, “An equality of ratios, $\frac{A}{B}=\frac{C}{D}$ is called an______.” from the provided options.

Answer to Problem 1VR

Solution:

The complete statement is, “An equality of ratios, $\frac{A}{B}=\frac{C}{D}$ is called a proportion.”

Explanation of Solution

Given Information:

The statement,

“An equality of ratios, $\frac{A}{B}=\frac{C}{D}$ is called an______.”

The provided options are,

1. Positive

2. Negative

3. Proportional

4. Proportion

5. Rational

6. Complex

7. Constant

8. Inverse

9. Direct

10. Joint

Two ratios are said to be in proportion if one can obtain first ratio, when the second ratio is multiplied by a suitable from of 1.

So, both ratios which seem different, have equal value.

For example, consider two ratios $\frac{1}{2}$ and $\frac{2}{4}$.

Here $\frac{1}{2}=\frac{2}{4}$ as $\frac{1}{2}\cdot \frac{2}{2}=\frac{2}{4}$.

Therefore, an equality of ratios, $\frac{A}{B}=\frac{C}{D}$ is called a proportion.