Question 23 of 28beginner🔧 ApplyShort Answer3 marks

Write these numbers using powers of 10: (i) 172, (ii) 5642, (iii) 6374. [Hint: digit × 10ⁿ]

(i)
Answer

(1×102)+(7×101)+(2×100)(1 \times 10^2) + (7 \times 10^1) + (2 \times 10^0)

(ii)
Answer

(5×103)+(6×102)+(4×101)+(2×100)(5 \times 10^3) + (6 \times 10^2) + (4 \times 10^1) + (2 \times 10^0)

(iii)
Answer

(6×103)+(3×102)+(7×101)+(4×100)(6 \times 10^3) + (3 \times 10^2) + (7 \times 10^1) + (4 \times 10^0)

Explanation

(i) 172 = 100 + 70 + 2 = (1×102)+(7×101)+(2×100)(1 \times 10^2) + (7 \times 10^1) + (2 \times 10^0) (ii) 5642 = 5000 + 600 + 40 + 2 = (5×103)+(6×102)+(4×101)+(2×100)(5 \times 10^3) + (6 \times 10^2) + (4 \times 10^1) + (2 \times 10^0) (iii) 6374 = 6000 + 300 + 70 + 4 = (6×103)+(3×102)+(7×101)+(4×100)(6 \times 10^3) + (3 \times 10^2) + (7 \times 10^1) + (4 \times 10^0)

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