Tìm số tự nhiên có 4 chữ số .biết rằng nếu xóa đi chữ số ở hàng đơn vị và hàng chục thì số đó giảm đi 1188 đơn vị
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
gọi số cần tìm là abcd .
ta có :
ab + 1188 = abcd
ab + 1188 = ab x 100 + cd
1188 + cd = ab x 99
suy ra ab = 12
và cd = 00
đ/s : 1200
nhé !
Gọi số phải tìm là abcd. Xoá đi chữ số hàng chục và hàng đơn vị ta được số ab
Theo đề bài ta có : abcd – ab = 4455
100 x ab + cd – ab = 4455
cd + 100 x ab – ab = 4455
cd + 99 x ab = 4455
cd = 99 x (45 – ab)
Ta nhận xét tích của 99 với 1 số tự nhiên là 1 số tự nhiên nhỏ hơn 100. Cho nên 45 – ab phải bằng 0 hoặc 1.
- Nếu 45 – ab = 0 thì ab = 45 và cd = 0.
- Nếu 45 – ab = 1 thì ab = 44 và cd = 99.
Số phải tìm là 4500 hoặc 4499
Gọi các chữ số hàng nghìn , trăm , chục , đơn vị lần lượt là abcd
Theo đề bài ta có:abcd = 1188+ab
Trong phép cộng, khi cộng 2 chữ số trong cùng một hàng thì có nhớ nhiều nhất là 1 nên ab chỉ có thể là 11 hoặc 12
Nếu ab = 11 thì abcd =1188 + 11 = 1199
Nếu ab = 12 thì abcd = 1188 + 12 = 1200
Vậy ta tìm đc 2 số thỏa mãn đề bài là : 1199 và 1200
Đs:1199 và 1200
Nhớ k mk nhe!!!
xóa chữ số hđv thì số đó giảm 10 lần
số ban đầu là: 1188:(10-1)=132
đáp số:...
mk nghĩ bài này chỉ tìm dc số có 3 chữ số thôi, k mk nhé
16383
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Gọi số cần tìm là \(\overline{abcd}\) Theo đề bài
\(\overline{abcd}-\overline{ab}=1188\)
\(\Rightarrow100x\overline{ab}+\overline{cd}-\overline{ab}=1188\)
\(\Rightarrow99x\overline{ab}=1188-\overline{cd}\) (1)
Ta có
\(99x\overline{ab}⋮99\Rightarrow1188-\overline{cd}⋮99\)
Mà \(1188⋮99\Rightarrow\overline{cd}⋮99\Rightarrow\overline{cd}=0\) hoặc \(\overline{cd}=99\)
+ Với \(\overline{cd}=0\) thay vào (1) \(\Rightarrow99x\overline{ab}=1188\Rightarrow\overline{ab}=1188:99=12\)
\(\Rightarrow\overline{abcd}=1200\)
+ Với \(\overline{cd}=99\) thay vào (1) \(\Rightarrow99x\overline{ab}=1188-99\Rightarrow\overline{ab}=11\)
\(\Rightarrow\overline{abcd}=1199\)
gọi số cần tìm là abcd,ta có :
ab + 1188 = abcd
ab + 1188 = ab x 100 + cd
1188 + cd = ab x 99
suy ra ab = 12
và cd = 00
Vậy số đó = 1200
Học vv!
Gọi số cần tìm là abcd(a\(\ne\)0,a,b,c,d<10;a,b,c,d\(\in\)N)
Nếu xóa chũ số hàng chục và hàng đơn vị ta có số ab
Theo bài ra ta có:
abcd=ab+4455
ab.100+cd=ab+4455
ab.99+cd=4455
ab.99+cd=45.99
Vì 45.99chia hết cho 99,ab.99 chia hết cho 99
=>cd chia hết cho 99
=>cd\(\in\){00,99}(vì cd là số có 2 chữ số)
Nếu cd=00 ta có:
ab.99+00=45.99
ab.99=45.99
=>ab=45
Thử lại :4500=45+4455(đúng)
Nếu cd=99 ta có:
ab.99+99=45.99
ab.99=44.99
=>ab=44
Thử lại 4499=44+4455(đúng)
Vậy số cần tìm là 4499 hoặc 4500
Bạn gạch đầu mấy chỗ abcd,ab,cd cho mk nhé mk ko biết đánh gạch đầu ở đâu nhe
Giải :
Gọi số phải tìm là abcd. Xoá đi chữ số hàng chục và hàng đơn vị ta được số ab.
Theo đề bài ta có
abcd – ab = 4455
100 x ab + cd – ab = 4455
cd + 100 x ab – ab = 4455
cd + 99 x ab = 4455
cd = 99 x (45 – ab)
Ta nhận xét tích của 99 với 1 số tự nhiên là 1 số tự nhiên nhỏ hơn 100. Cho nên 45 – ab phải bằng 0 hoặc 1.
- Nếu 45 – ab = 0 thì ab = 45 và cd = 0.
- Nếu 45 – ab = 1 thì ab = 44 và cd = 99.
Số phải tìm là 4500 hoặc 4499.
Bài 1
a0b = ab x 7
a x 100 + b = ( a x 10 + b ) x7
a x 100 + b = a x 10 x 7 + b x 7
Cùng bớt đi b
a x 100 = a x 70 + b x 6
Cùng bớt đi a x 70
a x 30 = b x 6
Cùng chia cho 6
a x 5 = b x 1
=>a = 1 ; b = 5
Vậy số đó là 15
2 bài kia bạn tự giải nha , mk lười lắm :)))))
cau hoi nay la cau hoi co 3 chu so chu khong hai la 2chu so
các bạn giúp mình giải nha.mình xin cảm ơn các bạn đã giúp mình
bạn vào câu hỏi tương tự nha !!!!!!!!!!!!