Question 25 of 28advanced🔧 ApplyNumerical8 marks

Calculate and write the answer using scientific notation: (i) How many ants are there for every human in the world? (ii) If a flock of starlings contains 10,000 birds, how many flocks could there be in the world? (iii) If each tree had about 10410^4 leaves, find the total number of leaves on all the trees in the world. (iv) If you stacked sheets of paper on top of each other, how many would you need to reach the Moon?

(i)
Answer

About 2.5×1062.5 \times 10^6 (2.5 million) ants per human

(ii)
Answer

About 1.3×1051.3 \times 10^5 flocks

(iii)
Answer

About 3×10163 \times 10^{16} leaves

(iv)
Answer

About 1.92×1091.92 \times 10^9 sheets (using 20 cm step height)

Explanation

(i) Ant population ≈\approx 2×10162 \times 10^{16}, human population ≈\approx 8×1098 \times 10^9. Ants per human = 2×10168×109=2.5×106\frac{2 \times 10^{16}}{8 \times 10^9} = 2.5 \times 10^6 (ii) Starling population ≈\approx 1.3×1091.3 \times 10^9, flock size = 10410^4. Number of flocks = 1.3×109104=1.3×105\frac{1.3 \times 10^9}{10^4} = 1.3 \times 10^5 (iii) Tree population ≈\approx 3×10123 \times 10^{12}, leaves per tree ≈\approx 10410^4. Total leaves = 3×1012×104=3×10163 \times 10^{12} \times 10^4 = 3 \times 10^{16} (iv) Distance to Moon ≈\approx 3,84,4003,84,400 km = 3.844×1083.844 \times 10^8 m. Using 20 cm = 0.2 m per sheet: 3.844×1080.2=1.922×109\frac{3.844 \times 10^8}{0.2} = 1.922 \times 10^9 sheets

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