Question 2 - Figure it out - Page 28, 29, 30 - Chapter 1 Class 8 - Fractions in Disguise (Ganita Prakash II)

Transcript

Question 2 The population of the world in 2025 is about 8.2 billion. The populations of some countries in 2025 are given. Match them with their approximate percentage share of the worldwide population. [Hint: Writing these numbers in the standard form and estimating can help].Since most of the population is given in million We write Population in millions Now, 1 billion = 1,000 million So, World Population = 8.2 billion = 8.2 × 1,000 million = 82/10 × 1,000 million = 8,200 million And, India Population = 1.46 billion = 1.46 × 1,000 million = 146/100 × 1,000 million = 1,460 million Now, let’s find percentages Percentage Share of Germany Now, Germany Population = 83 million World Population = 8,200 million Thus, Percentage share of Germany = (𝐺𝑒𝑟𝑚𝑎𝑛𝑦 𝑃𝑜𝑝𝑢𝑙𝑎𝑡𝑖𝑜𝑛)/(𝑊𝑜𝑟𝑙𝑑 𝑃𝑜𝑝𝑢𝑙𝑎𝑡𝑖𝑜𝑛) × 100 = 𝟖𝟑/(𝟖,𝟐𝟎𝟎) × 100 = 83/82 = 1.01% Thus, Germany is approximately 1% of World’s Population Percentage Share of India Now, India Population = 1,460 million World Population = 8,200 million Thus, Percentage share of India = (𝐼𝑛𝑑𝑖𝑎 𝑃𝑜𝑝𝑢𝑙𝑎𝑡𝑖𝑜𝑛)/(𝑊𝑜𝑟𝑙𝑑 𝑃𝑜𝑝𝑢𝑙𝑎𝑡𝑖𝑜𝑛) × 100 = (𝟏,𝟒𝟔𝟎)/(𝟖,𝟐𝟎𝟎) × 100 = 1,460/82 = 730/41 = 17.80% Thus, India is approximately 18% of World’s Population Percentage Share of Bangladesh Now, Bangladesh Population = 175 million World Population = 8,200 million Thus, Percentage share of Bangladesh = (𝐵𝑎𝑛𝑔𝑙𝑎𝑑𝑒𝑠ℎ 𝑃𝑜𝑝𝑢𝑙𝑎𝑡𝑖𝑜𝑛)/(𝑊𝑜𝑟𝑙𝑑 𝑃𝑜𝑝𝑢𝑙𝑎𝑡𝑖𝑜𝑛) × 100 = 𝟏𝟕𝟓/(𝟖,𝟐𝟎𝟎) × 100 = 174/82 = 2.13% Thus, Bangladesh is approximately 2% of World’s Population Percentage Share of USA Now, USA Population = 347 million World Population = 8,200 million Thus, Percentage share of USA = (𝑈𝑆𝐴 𝑃𝑜𝑝𝑢𝑙𝑎𝑡𝑖𝑜𝑛)/(𝑊𝑜𝑟𝑙𝑑 𝑃𝑜𝑝𝑢𝑙𝑎𝑡𝑖𝑜𝑛) × 100 = 𝟑𝟒𝟕/(𝟖,𝟐𝟎𝟎) × 100 = 347/82 = 4.23% Thus, USA is approximately 4% of World’s Population Note: There isn't a perfect "4%" option in our list (13, 8, 18, 10, 1, 35, 2, 2, 0.1). However, mathematically, the answer is roughly 4%.