Để đánh số trang một quyển truyện người ta phải dùng tất cả 1242 chữ số. Hỏi quyển truyện dày bao nhiêu trang?

Phương pháp giải

Xét số chữ số theo các khoảng từ 1 đến 9, từ 10 đến 99, .... để tìm số trang của quyển truyện.

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 1242 – (9 + 180) = 1053 (chữ số) Số trang được đánh bằng số có 3 chữ số là 1053 : 3 = 351 (trang) Quyển sách có số trang là 9 + 90 + 351 = 450 (trang) Đáp số: 450 trang

Báo lỗi - Góp ý

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