Chapter 2: 2A. (page 112)

Use cross products to determine whether each pair of ratios forms a proportion.
$\frac{0.2}{1.8}, \frac{1}{0.9}$

Short Answer

Expert verified

No, the pair of ratios $\frac{0.2}{1.8}, \frac{1}{0.9}$ do not form the proportion.

Step by step solution

Step-1. Define proportion.

If $\frac{a}{b} = \frac{c}{d}$ , where a and d are extremes and b and c are the means, then in a proportion the product of the extremes is equal to the product of the means that is., $a d = b c, b, d \neq 0$ .

Step-2. Determine the cross products.

Use cross products to determine whether two ratios form a proportion.

$\begin{matrix} \frac{0.2}{1.8} \overset{?}{=} \frac{1}{0.9} \\ 0.9 \times 0.2 \overset{?}{=} 1 \times 1.8 \\ 0.18 \neq 1.8 \end{matrix}$

Step-3. State the conclusion.

Since, the cross products are not equal, that is., $0.18 \neq 1.8$ , therefore the ratios do not form the proportion.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Use cross products to determine whether each pair of ratios forms a proportion.
$\frac{0.2}{1.8}, \frac{1}{0.9}$

Short Answer

Step by step solution

Step-1. Define proportion.

Step-2. Determine the cross products.

Step-3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Use cross products to determine whether each pair of ratios forms a proportion.0.21.8, 10.9

Short Answer

Step by step solution

Step-1. Define proportion.

Step-2. Determine the cross products.

Step-3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Mechanics Maths

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Use cross products to determine whether each pair of ratios forms a proportion.
$\frac{0.2}{1.8}, \frac{1}{0.9}$