1.Biểu diễn các số hữu tỉ \(\dfrac{-3}{4}\); \(\dfrac{5}{3}\) trên trục số .
2. So sánh hai số hữu tỉ -0.75 và \(\dfrac{5}{3}\)
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Trong các phân số sau, những phân số nào biểu diễn số hữu tỉ
Lời giải:
Vậy những phân số biểu diễn số hữu tỉ là :
a: Các số biểu diễn dưới dạng thập phân hữu hạn là
\(3\dfrac{1}{4}=3,25\)
\(\dfrac{7}{32}=0.21875\)
Ta có \(\dfrac{3}{-4}=\dfrac{-3}{4}=\dfrac{-9}{12}\)
\(\dfrac{5}{3}=\dfrac{20}{12}=1\dfrac{8}{12}\)
Hình vẽ chỉ mang tính chất minh họa
a)Ta có:\(\dfrac{-14}{35}\)=\(\dfrac{-26}{65}\)=\(\dfrac{34}{-85}\)= -0,4
Vậy các phân số trên cùng biểu diễn 1 số hữu tỉ
Ta có:\(\dfrac{-27}{63}\)=\(\dfrac{-36}{84}\)=\(\dfrac{-3}{7}\)
Vậy các phân số trên cùng biểu diễn 1 số hữu tỉ
b)Ba cách viết của số hữu tỉ \(\dfrac{-3}{7}\) là\(\dfrac{-3}{7}\)=\(\dfrac{-6}{14}\)=\(\dfrac{-12}{28}\)=\(\dfrac{-15}{35}\)
Bài 21 a) Trong các phân số sau, những phân số nào biểu diễn cùng một số hữu tỉ?
−1435;−2763;−2665;−3684;34−85−1435;−2763;−2665;−3684;34−85
b) Viết ba phân số cùng biểu diễn số hữu tỉ 3737
Lời giải:
Ta có : −1435=−2665=34−85=−0,4−1435=−2665=34−85=−0,4 Vậy các phân số −1435;−2665;34−85−1435;−2665;34−85 cùng biểu diễn một số hữu tỉ
Tương tự −2763=−3684=−37−2763=−3684=−37 cùng biểu diễn một số hữu tỉ
b) Ba phân số cùng biểu diễn số hữu tỉ 3737 là:
−37=−614=12−28=−1535
a) Các điểm M, N, Q biểu diễn lần lượt các số hữu tỉ:\(\frac{5}{3};\,\frac{{ - 1}}{3};\,\frac{{ - 4}}{3}\).
b)
Ta có : −1435=−2665=34−85=−0,4−1435=−2665=34−85=−0,4 Vậy các phân số −1435;−2665;34−85−1435;−2665;34−85 cùng biểu diễn một số hữu tỉ
Tương tự −2763=−3684=−37−2763=−3684=−37 cùng biểu diễn một số hữu tỉ
b) Ba phân số cùng biểu diễn số hữu tỉ 3737 là:
−37=−614=12−28=−1535
Rút gọn :
\(-\dfrac{14}{35}=-\dfrac{2}{5}\)
\(-\dfrac{27}{63}=-\dfrac{3}{7}\)
\(-\dfrac{27}{65}=-\dfrac{27}{65}\)
\(-\dfrac{36}{84}=-\dfrac{3}{7}\)
Bài 1:
![](data:image/png;base64,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)
1)mik ko biết trục số ở đâu nên tham khảo:
2
-0,75 <5/3