Cho hai số thập phân có tổng bằng 69,85. Nếu chuyển dấu phẩy ở số bé sang phải một hàng ta được số lớn. Tìm hai số đã cho.
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài làm:
Nếu chuyển dấu phẩy của số bé sang phải 1 hàng ta được số lớn, và số lớn gấp 10 lần số bé
Ta có sơ đồ :
Số lớn: |---|---|---|---|---|---|---|---|---|---|
Số bé: |---|
Tổng số phần bằng nhau là:
10 + 1 = 11 (phần)
Số lớn là:
(69,85 : 11) × 10 = 63,5
Số bé là:
69,85 - 63,5 = 6,35
![](https://rs.olm.vn/images/avt/0.png?1311)
Nếu chuyển dấu phẩy ở số lớn sang bên trái 1 hàng ta được số bé, tức là số lớn gấp 10 lần số bé
Tổng số phần bằng nhau:
1+10=11(phần)
Số bé là:
59,18: 11 x 1=5,38
Số lớn là:
5,38 x 10 = 53,8
![](https://rs.olm.vn/images/avt/0.png?1311)
số lớn sẽ gấp 10 số bé
số bé = 1/10 sl
sl là : 59,62:(10+1)*10=54,2
sb là: 54,2:10=5,42
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài làm:
Nếu chuyển dấu phẩy của số bé sang phải 1 hàng ta được số lớn, và số lớn gấp 10 lần số bé
Ta có sơ đồ :
Số lớn: |---|---|---|---|---|---|---|---|---|---|
Số bé: |---|
Tổng số phần bằng nhau là:
10 + 1 = 11 (phần)
Số lớn là:
(69,85 : 11) × 10 = 63,5
Số bé là:
69,85 - 63,5 = 6,35
Đáp số: 63,5 và 6,35
![](https://rs.olm.vn/images/avt/0.png?1311)
Nếu chuyển dấu phẩy ở số lớn sang bên trái một hàng, ta được số bé. Vậy số lớn gấp 10 lần số bé
Tổng số phần bằng nhau:
10+1=11(phần)
Số lớn là:
73,04:11 x 10= 66,4
Số bé là:
66,4:10=6,64
tham khảo:![](data:image/png;base64,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)