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 Dịch đề: Cho dãy số 2, 7, 12, 17, 22, 27,..., 302, 307. Tìm chữ sồ hàng đơn vị của tích tất cả các số trong dãy.

 Solution (in English):

 In the sequence, there are \(\left(302-2\right):10+1=31\) numbers that end with 2 and \(\left(307-7\right):10+1=31\) numbers that end with 7.

 Therefore, the unit digit of the product is also the unit digit of:

 \(A=2\times2\times2\times...\times2\times7\times7\times7\times...\times7\)

          (31 numbers 2)       (31 numbers 7)

 We have to find out what is the final digit of \(2\times2\times...\times2\)  (31 times) and \(7\times7\times...\times7\) (31 times)

 Consider the number \(N=2\times2\times...\times2\) (\(n\) times)

 If \(n=1\), then \(N=2\)

 If \(n=2\), then \(N=4\)

 If \(n=3\), then \(N=8\)

 If \(n=4\), then \(N=16\rightarrow\) the last digit is 6

 If \(n=5\), then \(N=32\rightarrow\) the last digit is 2

 If \(n=6\), then \(N=64\rightarrow\) the last digit is 4

 If \(n=7\), then \(N=128\rightarrow\) the last digit is 8.

 If \(n=8\), then \(N=256\rightarrow\) the last digit is 6.

...

 From here we can see a pattern: If \(n\) has a remainder of 3 when being divided by 4, the last digit of N is 8. Thus, the final digit of \(2\times2\times...\times2\) (31 times) is 8 since 31 has a remainder of 3 when being divided by 4.

 Using the same method of reasoning, we can deduce that \(7\times7\times...\times7\) (31 times) ends with 3.

 Therefore, the final digit of A must be the final digit of \(8\times3=24\), which is 4.

 So the answer is 4.

The number of terms in the above squence is:

\(\left(307-2\right):5+1=62\) (terms)

The total number squence above is:

\(\left(307+2\right)\times62:2=9579\)

So....

What time 

What time is it? It's 10 o'clock

Cấu trúc để trả lời câu hỏi :What time is it?

=> It's + time (thời gian)

\(#Hoctot\)

1. Laura studies at Star Primary School.

2. His favourite colour is black.

3. He likes listening to music.

4. Alex lives in a small village.

5. Kim’s birthday is in November.

Câu 1. Laura studies at Star Primary School.

Câu 2. His favourite colour is black.

Câu 3. He likes listening to music.

Câu 4. Alex lives in a small village.

Câu 5. Kim’s birthday is in November.

Tick mình nha!

-  bạn đến từ đâu?

-bạn muốn đi đến cửa hàng không?

-bạn làm gì vào những ngày chủ nhật?

-động vật mà bạn yêu thích à gì?

I from Viet Nam

yes,I do

I play basketball and football on sunday

cat

Bạn muốn hỏi gì với những dữ liệu này?

Improve your grammar.

1. How can I get to the swimming pool?

2. What does it say?

3. What do you do to go to the bakery?

December is the month when people celebrate Christmas.

Another word for “student” is pupil.

When you have a question in class, you raise your hand.

You use a eraser for removing pencil marks from paper.

Sunday is the day of the week before Monday.

Teachers give students homework to do at home.

You can grow flowers and vegetables in a garden.

You should listen while your teacher is talking.

You use a ruler to draw straight lines.

Vietnamese, maths, science, … are all school subjects.

1. _____December _____ is the month when people celebrate Christmas.

2. Another word for “student” is “_____pupil_____”.

3. When you have a question in class, you raise your _____hand_____.

4. You use a(n) ____eraser______ for removing pencil marks from paper.

5. ______Sunday____ is the day of the week before Monday.

6. Teachers give students _____homework_____ to do at home.

7. You can grow flowers and vegetables in a(n) _____garden_____.

8. You should _____listen_____ while your teacher is talking.

9. You use a(n) ______ruler____ to draw straight lines.

10. Vietnamese, maths, science, … are all school ____subjects______. 

HÌNH NHƯ KHÔNG CÓ ẢNH

Mình xin gửi lại ảnh

It's in Hop Chau,Tam Dao.

There are five buildings.

I am playing badminton.

My favorite subject is English. Because I want to be an English teacher.

Question 1 :

There/ garden/ my school.

`= >` There is a garden in my school.

Question 2:

I/have/ music/science / IT / Fridays.

`=>` I have music ; science and IT on Fridays.

Question 3:

I/ go / school / bus.

`=>` I go to school by bus.

Question 4 :

My school/ between / bakery / bookshop

`=>` My school is located between the bakery and the bookstore.

Question 5:

I/go/home/4 o'clock/ afternoon.

`=>` I go home at 4'o clock in afternoon.

Cảm ơn bạn 456 nha ❤