Exer 1: Find digit a such that n = \(\overline{aaaaa24}\) divisibles by 8 and 9. Exer 2: Prove that number: A = (n 2014)(n 2015)(n 2016) is a multiple of 6

Exer 1: There is a division with the quotient is 6 and the remainder is 3. The sum of dividend, divisor and remainder are 195. Find the dividend are divisor. Exer 2: Prove that: Amoney three consecutive natural numbers, there is one only one the number which divisibles by 3. Exer 3: Given natural number, n = \(\overline{1ab1}\). Let m be the natural number which is written the opposite respectively of n. Prove that the different of n and m divisibles by 90. ...

0

TQ

Trịnh Quỳnh Hoa

23 tháng 2 2017

2

AC

Aoko-chan

23 tháng 2 2017

Exer 1:

Trả lời:

The sum of dividend and divisor are:

195 - 3 = 192

Because the quotient is 6.

The divisor is:

(192-3) : (6+1) = 27

The dividend is:

192 - 27 = 165

Exer 2:

Trả lời:

Let three unknow numbers be: n, n + 1, n + 2.

Because n has three forms: 3k, 3k + 1, 3k + 2.

+) If n

AC

Aoko-chan

23 tháng 2 2017

Xin lỗi, mình vẫn chưa viết xong, rồi mình viết tiếp đây:

+) If n = 3k then there is only n divisibles by 3.

+) If n = 3k + 1 then there is only n + 2 divisibles by 3.

+) If n = 3k + 2 then there is only n + 1 divisibles by 3.

Thus, amoney three consecutive natural numbers, there is one only one the number which divisibles by 3.

Exer 3:

Trả lời:

When we written the opposite respectively of n, we obtain \(\overline{1ba1}\).

We have:

\(\overline{1ab1}\) + \(\overline{1ba1}\) = (1000 + 100a + 10b + 1) - (1000 + 100b + 10a + 1)

= 90a - 90b

= 90(a - b)\(⋮\) 90

Thus, the difference of n and m which divisibles by 90.

Exer 1: Given two natural numbers whose sum are 78293. The bigger number where 5 is the units digit and 2 is hundred digit. If we clean these digits then we obtain a number which equals the smaller number. Find two natural numbers. Exer 2: Prove that: If x, y \(\in\) N and x + 2y divisible by 5 then 3x - 4y divisibles by 5. Exer 3: Given that 2x + 5y \(⋮\) 7. Prove that 4x + 3y \(⋮\) 7. ...

TQ

Trịnh Quỳnh Hoa

23 tháng 2 2017

1

AC

Aoko-chan

23 tháng 2 2017

Exer 1:

Solution:

Suppose that, the unknown number is: \(\overline{x215}\) (where x \(\in\) N).

When we clean three digits then the smaller number is \(\overline{x}\).

We have: \(\overline{x215}\) + \(\overline{x}\) = 78293

\(\Rightarrow\) 1000. \(\overline{x}\) + 215 + \(\overline{x}\) = 78293

1001. \(\overline{x}\) = 78078

x = 78

Thus, we found two natural number: 78215 and 78.

Exer 2:

Solution:

We have: x + 2y \(⋮\) 5

\(\Rightarrow\) 2x + 4y \(⋮\) 5

(2x + 4y) + (3x - 4y) = 5x \(⋮\) 5

\(\Rightarrow\) 2x + 4y \(⋮\) 5

Deduce 3x - 4y \(⋮\) 5.

Exer 3:

Solution:

We have: 2x + 5y \(⋮\) 7

4x + 10y \(⋮\) 7

(4x + 10y) - (4x + 3y) = 7y \(⋮\) 7

\(\Rightarrow\) 4x + 10y \(⋮\) 7

Deduce 4x + 3y \(⋮\) 7.

Question 1:The least common multiple of 330; 65; 15 is Question 2:Given seven numbers: 25; 17; 39; 43; 239; 1021; 1023.The composite numbers are (Write numbers in order from the least to the greatest and use ";")Question 3:The common factors of 18 and 27 are (Write numbers in order from the least to the greatest and use ";")Question 4:Given the set of even numbers: {2; 4; 6; …; 100}.The number of elements is Question 5:Find four integer numbers a,b,c,d such thata + b + c + d = 1a + c + d = 2a + b + d = 3a + b + c...

DC

Đứa con của quỷ

16 tháng 3 2016

1

QG

Quản gia Whisper

16 tháng 3 2016

chết liền đưa nhìu câu quá

Question 1:P is a prime number and a factor of 8. What is P?Answer: P = Question 2:The greatest even factor of 62 is Question 3:The smallest multiple of 47 is Question 4:K is a prime number and a multiple of 43. What is K?Answer: K = Question 5:The number 55 has factors.Question 6:In the following numbers, which has the most factors?Answer: Question 7:In the following figure, AN = 5cm and AB = 8cm. NB = cm Question 8:Find the sum of all the factors of 19Answer: Question 9:Find such...

YM

Yamada Miko

9 tháng 8 2016

1

NT

Nguyen Trang Mai Quyen

9 tháng 8 2016

Toán bằng TA à. Kinh nhể

âu 1:.810:8=8...Answer: The missing number is Câu 2:The fourth power of 3 is Câu 3:Find the number n such that 2016n=1.Answer: Câu 4:What is the greatest remainder when a number divide by 9?Answer: Câu 5:Maria is 10 years old and her sister is 7 years old. In how many years' time will their total age be 41 years?Answer: years.Câu 6:Anna is 1.53m tall. What is her height in centimeters?Answer: (cm)Câu 7:510x610=_________10Câu 8:Find the last digit of 22016.Answer: The last digit...

NP

ngoc phuc

9 tháng 12 2016

3

BD

Băng Dii~

9 tháng 12 2016

Câu 1:
.8¹⁰:8=8⁹
Answer: The missing number is

Câu 2:
The fourth power of 3 is 81

Câu 3:
Find the number n such that 2016ⁿ=1.
Answer: không tồn tại

Câu 4:
What is the greatest remainder when a number divide by 9?
Answer: 8

Câu 5: không hiểu cho lắm , đề sao sao ấy , hỏi tuổi ai ?
Maria is 10 years old and her sister is 7 years old. In how many years' time will their total age be 41 years?
Answer: years.

Câu 6:
Anna is 1.53m tall. What is her height in centimeters?
Answer: 153 (cm)

Câu 7:

5¹⁰x6¹⁰= 30¹⁰

Câu 8:
Find the last digit of 2²⁰¹⁶.
Answer: The last digit of 2²⁰¹⁶ is 4

Câu 9:
Find the number n such that 58-2x3ⁿ=4.
Answer: n = 3

Fill in the blank with the suitable sign (>; =;<)

Câu 10:
Compare: 3¹⁰ = 9⁵

PQ

phạm quỳnh trâm

17 tháng 12 2016

cau 5 lam sao

Question 1:The smallest multiple of 47 is Question 2:Which of following numbers is prime?Answer: Question 3:The smallest factor of 82 is Question 4:K is a prime number and a multiple of 43. What is K?Answer: K = Question 5:In the following figure, AN = 5cm and AB = 8cm. NB = cm Question 6:In the following figure, RQ = 12cm and PR = 17cm. PQ = cm Question 7:List the first three multiple of 6. (Write numbers in order from least to greatest and use “;”)Answer: Question 8:The number 55...

TT

tran thi thuy linh

17 tháng 6 2016

0

ON

Omega Neo

25 tháng 11 2019

Suppose \(\overline{ab}\) is a 2 digit number with the property that the 6 digit number \(\overline{1234ab}\) is divisible by 9 and \(\overline{ab1234}\) is divisible by 11. What is a²- b²

#Toán lớp 8

0

TM

Trần Minh Phúc

4 tháng 8 2017

Factorial n! means the product of the first integers from 1 to n. What is the least positive integer n such that n! is a multiple of 2015*2016?

Trình bày lời giải cho mình nhé

3

ND

Neymar Da Silva

4 tháng 8 2017

tớ chịu thông cảm cho tớ rằng tớ không biết chữ gì về tiếng anh , tiếng em nhé

ND

nguyễn đỗ phương

4 tháng 8 2017

Nhân tố n! Có nghĩa là sản phẩm của các số nguyên đầu tiên từ 1 đến n. Số nguyên dương ít nhất n sao cho n! Là một trong nhiều năm 2015 * năm 2016?