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Giải mục 1 trang 35 SGK Toán 7 tập 1 - Chân trời sáng tạo

Trong các số sau, số nào là số hữu tỉ, số nào là số vô tỉ?....

🐬Tổng hợp đề thi học kì 2 lớp 7 tất cả các môn - Chân trời sáng tạo

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Video hướng dẫn giải

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HĐ 1

Trong các số sau, số nào là số hữu tỉ, số nào là số vô tỉ? \(\frac{2}{3};\,\,\,\,3,\left( {45} \right);\,\,\,\,\sqrt 2 ;\,\,\, - 45;\,\,\, - \sqrt 3 ;\,\,\,0;\,\,\,\,\pi .\)

Phương pháp giải:

-          Mỗi số thập phân vô hạn không tuần hoàn là biểu diễn thập phân của một số, số đó gọi là số vô tỉ. -          Số hữu tỉ được viết dưới dạng \(\frac{a}{b}\), trong đó a và b là các số nguyên, b khác 0.

Lời giải chi tiết:

Ta có: \(3,\left( {45} \right) = \frac{{38}}{{11}}\); \( - 45 = \frac{{ - 45}}{1};\,\,0 = \frac{0}{1}\) do đó: Các số hữu tỉ là: \(\frac{2}{3};\,3,\left( {45} \right);\, - 45;\,0\). Các số vô tỉ là: \(\sqrt 2 ;\, - \sqrt 3 ;\,\pi \).

Chú ý:

Số thập phân vô hạn tuần hoàn cũng là số hữu tỉ.

Thực hành 1

Các phát biểu sau đúng hay sai? Nếu sai, hãy phát biểu lại cho đúng.

\(a)\,\sqrt 3  \in \mathbb{Q};\,\,\,\,\,\,\,b)\sqrt 3  \in \mathbb{R}\,\,\,\,\,c)\frac{2}{3} \notin \mathbb{R}\,\,\,\,\,d)\, - 9 \in \mathbb{R}\)

Phương pháp giải:

-          Số hữu tỉ được viết dưới dạng \(\frac{a}{b}\), trong đó a và b là các số nguyên, b khác 0. Kí hiệu là \(\mathbb{Q}\). -          Số thực bao gồm cả số vô tỉ và số hữu tỉ. Kí hiệu là \(\mathbb{R}\).

Lời giải chi tiết:

a)      \(\sqrt 3  \in \mathbb{Q}\) sai. Sửa lại: \(\sqrt 3  \notin \mathbb{Q}\) b)      \(\sqrt 3  \in \mathbb{R}\) đúng. c)      \(\frac{2}{3} \notin \mathbb{R}\) sai. Sửa lại: \(\frac{2}{3} \in \mathbb{R}\) d)      \( - 9 \in \mathbb{R}\) đúng.

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