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Giải bài 2.8 trang 25 sách bài tập toán 7 - Kết nối tri thức với cuộc sống

Cho hai số a = 2,4798; b = 3,(8). a) Gọi a’ và b’ lần lượt là kết quả làm tròn của số a đến hàng phần mười và làm tròn số b với độ chính xác 0,5. Tính a’; b’ và so sánh a’ với a; b’ với b. b) Sử dụng kết quả câu a) để giải thích kết luận sau đây không đúng:

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Đề bài

Cho hai số a = 2,4798; b = 3,(8). a) Gọi a’ và b’ lần lượt là kết quả làm tròn của số a đến hàng phần mười và làm tròn số b với độ chính xác 0,5. Tính a’; b’ và so sánh a’ với a; b’ với b. b) Sử dụng kết quả câu a) để giải thích kết luận sau đây không đúng: \(2,4798.3,\left( 8 \right) = 10,2\left( 3 \right).\)

Phương pháp giải - Xem chi tiết

Cách làm tròn số thập phân vô hạn tuần hoàn cũng tương tự như làm tròn số thập phân hữu hạn. Khi làm tròn số đến một hàng nào đó thì kết quả làm tròn có độ chính xác bằng một nửa đơn vị hàng làm tròn, chẳng hạn nếu làm tròn đến hàng phần trăm thì kết quả có độ chính xác 0,005.

Lời giải chi tiết

a) -Làm tròn a đến hàng phần mười ta được \(2,4798 \approx 2,5\). Vậy a’ = 2,5 và a < a’. -Làm tròn b đến độ chính xác 0,5 ta phải làm tròn số này đến hàng đơn vị: \(3,\left( 8 \right) \approx 4\). Vậy b’ = 4 và b < b’. b) Ta có: \(a < 2,5,b < 4\) (và a, b dương) nên \(a.b < 10 < 10,2\left( 3 \right)\) Vì vậy kết luận \(2,4798.3,\left( 8 \right) = 10,2\left( 3 \right)\) không đúng.

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