Question 42 of 43intermediate🔧 ApplyShort Answer5 marks

A calculator has only '+10,000' and '+100' buttons. Write an expression describing the number of button clicks to be made for the following numbers: (a) 20,800 (b) 92,100 (c) 1,20,500 (d) 65,30,000 (e) 70,25,700

(a)
Answer

(2×100002 \times 10000) + (8×1008 \times 100) = 20,800. Total clicks: 2 + 8 = 10

(b)
Answer

(9×100009 \times 10000) + (21×10021 \times 100) = 92,100. Total clicks: 9 + 21 = 30

(c)
Answer

(12×1000012 \times 10000) + (5×1005 \times 100) = 1,20,500. Total clicks: 12 + 5 = 17

(d)
Answer

(653×10000653 \times 10000) = 65,30,000. Total clicks: 653

(e)
Answer

(702×10000702 \times 10000) + (57×10057 \times 100) = 70,25,700. Total clicks: 702 + 57 = 759

Explanation

(a) 20,800 = 2×100002 \times 10000 + 8×1008 \times 100 (b) 92,100 = 9×100009 \times 10000 + 21×10021 \times 100 (c) 1,20,500 = 12×1000012 \times 10000 + 5×1005 \times 100 (d) 65,30,000 = 653×10000653 \times 10000 (no hundreds needed) (e) 70,25,700 = 702×10000702 \times 10000 + 57×10057 \times 100

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