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LỚP 6 Toán cơ bản Ôn bài lý thuyết CHƯƠNG III. PHÂN SỐ 3.8. Tính chất cơ bản của phép cộng phân số
3.8. Tính chất cơ bản của phép cộng phân số
Nội dung chính
ÔN TẬP: TÍNH CHẤT CƠ BẢN CỦA PHÉP CỘNG PHÂN SỐ
KIẾN THỨC CẦN NHỚ
1. Tính chất giao hoán:
Với mọi phân số
và ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
ta có: ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
2. Tính chất kết hợp:
Với mọi phân số ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
ta có: ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
3. Tổng của một phân số với 0:
Với mọi phân số ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
ta có: ![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](data:image/png;base64,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)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](https://hocthattot.com/wp-content/uploads/2019/10/vidu.png)
BÀI TẬP VÍ DỤ
![](https://hocthattot.com/wp-content/uploads/2019/10/vidu.png)
Ví dụ: Tính nhanh
Bài giải:
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](https://hocthattot.com/wp-content/uploads/2019/10/vandung.png)
BÀI TẬP VẬN DỤNG
![](https://hocthattot.com/wp-content/uploads/2019/10/vandung.png)
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](https://hocthattot.com/wp-content/uploads/2019/10/coban.png)
BÀI TẬP CƠ BẢN
![](https://hocthattot.com/wp-content/uploads/2019/10/coban.png)
Bài 1:
Bài 2:
![](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
![](https://hocthattot.com/wp-content/uploads/2019/10/nangcao.png)
BÀI TẬP NÂNG CAO
![](https://hocthattot.com/wp-content/uploads/2019/10/nangcao.png)
Bài 1:
Bài 2:
Trên đây là các kiến thức cần nhớ và các bài tập ví dụ minh họa về nội dung của bài học Tính chất cơ bản của phép cộng phân số – toán cơ bản lớp 6.
Chúc các em học tập hiệu quả!