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Lý thuy t và Gi i bài t p Toán l p 6: ế ả ậ ớ H n sỗ ố - S th p phânố ậ - Ph n trămầ
I. Lý thuy t hến sỗ ố - s th p phânố ậ - ph n trămầ
1. H nỗ số
Ng i ta vi t g n t ng 3 +ườ ế ọ ổ c a s d ng 3 và phân s d ngủ ố ươ ố ươ d i d ngướ ạ (t cứ
là b đi d u c ng)ỏ ấ ộ và g iọ là m t h n s .ộ ỗ ố
S đ iố ố cũng là m t h n s .ộ ỗ ố
T ng quát khi ta vi t g n t ng c a m t s nguyên d ng và phân s d ng b ng cáchổ ế ọ ổ ủ ộ ố ươ ố ươ ằ
b d u c ng xen gi a chúng thì đ c g i là m t h n s .ỏ ấ ộ ữ ượ ọ ộ ỗ ố
S đ i c a h n s này cũng đ c g i là m t h n s .ố ố ủ ỗ ố ượ ọ ộ ỗ ố
Nh v y, m t h n s g m hai ph n: ph n nguyên và ph n phân s .ư ậ ộ ỗ ố ồ ầ ầ ầ ố
L u ý. Mu n đ i m t phân s d ng có t l n h n m u thành m t h n s ta chia tư ố ổ ộ ố ươ ử ớ ơ ẫ ộ ỗ ố ử
cho m u. Th ng tìm đ c chính là ph n nguyên, ph n phân s có t là s d cònẫ ươ ượ ầ ầ ố ử ố ư
m u là m u s c a phân s đã cho.ẫ ẫ ố ủ ố
2. Phân s th p phân. S th p phân.ố ậ ố ậ
Phân s th p phân là phân s có m u là m t lũy th a c a 10.ố ậ ố ẫ ộ ừ ủ
Các phân s th p phân có th vi t d i d ng s th p phân.ố ậ ể ế ướ ạ ố ậ
S th p phân g m hai ph n:ố ậ ồ ầ
- Ph n s nguyên vi t bên trái d u ph y;ầ ố ế ấ ẩ
- Ph n th p phân vi t bên ph i d u ph y.ầ ậ ế ả ấ ẩ
S ch s th p phân b ng đúng s ch s 0 m u c a phân s th p phân.ố ữ ố ậ ằ ố ữ ố ở ẫ ủ ố ậ
3. Ph n trămầ
Phân s có m u là 100 đ c vi t d i d ng ph n trăm, t c là d ng g m t s c aố ẫ ượ ế ướ ạ ầ ứ ạ ồ ử ố ủ
phân s đã cho kèm theo kí hi u %.ố ệ
II. Gi i bài t p trang 46, 47, 48, 49, 50 SGK Toán l p 6 t p 2ả ậ ớ ậ
Bài 94 - Trang 46 - Ph n s h c - SGK Toán 6 T p 2ầ ố ọ ậ
Vi t các phân s sau d i d ng h n s :ế ố ướ ạ ỗ ố