Để đánh số thứ tự các trang của một cuốn sách, người ta đã dùng 216 lượt chữ số. Hỏi cuốn sách đó có bao nhiêu trang?

Phương pháp giải

- Tìm số trang từ 1 đến 9, từ 10 đến 99 - Tìm số chữ số để đánh các trang có 3 chữ số - Tìm tổng số trang có 1 chữ số, 2 chữ số, 3 chữ số

Lời giải của GV ufaindo.xyz

Để đánh số trang của 1 cuốn sách, người ta phải viết liên tiếp các số tự nhiên từ 1, 2, 3, 4, ….. Từ trang 1 đến trang 9 có 9 trang: cần 9 x 1 = 9 chữ số Từ trang 10 đến trang 99 có 90 trang: cần 90 x 2 = 180 chữ số Số chữ số còn lại là 216 – (9 + 180) = 27 (chữ số) Số trang được đánh bằng số có 3 chữ số là 27 : 3 = 9 (trang) Quyển sách có số trang là 9 + 90 + 9 = 108 (trang) Đáp số: 108 trang

Báo lỗi - Góp ý

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