Class 8 Maths — Chapter 7: Proportional Reasoning

What you'll learn

• ▸Recognizing Proportional Change
• ▸Understanding Ratios and Terms
• ▸Ratios in their Simplest Form
• ▸Identifying Proportions
• ▸Solving for Missing Values in Proportions
• ▸Applying Proportional Reasoning to Word Problems
• ▸Additive vs. Multiplicative Change in Ratios

Chapter Summary

--- PAGE 1 --- PROPORTIONAL REASONING-I <<<<<<<<<<<<<<<<<<< >>>>>>>>>>>>>>>>>>> 7.1 Observing Similarity in Change We are all familiar with digital images. We often change the size and orientation of these images to suit our needs. Observe the set of images below— Image C Image A Image B Image D Image E We can see that all the images are of different sizes. ? Which images look similar and which ones look different? Images (A, C, and D) look similar, even though they have different sizes. NCERT not to be republished --- PAGE 2 --- Ganita Prakash | Grade 8 ? Do images B and E look like the other three images? No, they are slightly distorted. The tiger appears elongated in B, and compressed and fatter in E! ? Why? You may notice that images A, C, and D are rectangular, but E is square. Maybe that is why E looks different. But B is also a rectangle!…

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

1. Explain the Golden Ratio simply. Get Solution →
2. Show a real-world proportion example. Get Solution →
3. Calculate ingredient ratios for double a recipe. Get Solution →
4. According to the text, what mathematical notion is used to represent proportional relationships? Get Solution →
5. In a ratio of the form a : b, what are the numbers 'a' and 'b' called? Get Solution →
6. What symbol is used to indicate that two ratios are in proportion? Get Solution →
7. How can a ratio be reduced to its simplest form? Get Solution →
8. Why do images A, C, and D appear similar to each other despite their different sizes? Get Solution →

Did you know?

• 💡 The Golden Ratio, a special proportion, appears in sunflowers, seashells, and ancient buildings.
• 💡 Maps use ratios to shrink vast lands onto a small piece of paper.
• 💡 Baking a cake perfectly requires keeping ingredient ratios precise.
• 💡 A human's arm span is roughly proportional to their height.
• 💡 Musical harmony relies on specific sound wave frequency ratios.

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