find m if m is a natural number and 2/5 < m/8 < 3/5.
Find the greatest value of m if m is a natural number and 3.72 + m < 12.36. the greatest value of m is?
Dịch: Tìm giá trị lớn nhất của m nếu m là số tự nhiên và 3,72 + m <12,36. Giá trị lớn nhất của m là?
Giải
Ta thấy nếu m là số tự nhiên thì các số tự nhiên + với 3,72 nhỏ hơn 12,36 là:
4 ; 5 ; 6 ; 7 ; 8
Vậy m = {4 ; 5 ; 6 ; 7 ; 8}
Đs
If m is a natural number and 5/9 < m/5 < 6,9 then m = .......
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.
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
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.
Question 1:
Convert 1m = ..........cm.
Question 2:
Convert 1mm = ............ m
Question 3:
If x is a natural number and 3,8 < x < 4,3 then x = ..............
Question 4:
In the following numbers, which is the greatest?
7,568; 9,265; 8,975; 7,689; 9,256
Answer:
The greatest number is .............
Question 5:
In the following numbers, which is the smallest?
4,92; 5,84; 4,85; 8,54; 4,58; 5,48
Answer:
The smallest number is ...............
Question 6:
Convert: 5km 2m = ............. km.
Question 7:
If m is a even number and 81,32 > m > 78,54 then m = .......
Question 8:
Use all the digits below to form the decimal number that is smaller than 5.
2; 5; 9; 4; 8
How many such numbers are there?
Answer:
There are ........... numbers.
Question 9:
Fill in the blank with the suitable sign (>, <, =)
Compare:
76,5 ......... 75,66
Question 10:
Compare: 31,040 ........... 31,04
A,B,C,D,A+C,B+C,A+D,B+D represent 8 diffirent natural numbers from 1 to 8. If A is the largest number in the number from 1 to 8.Find A
How many natural numbers are there between 100 and 999 that unit-digit and tens-digit equal hundreds-digit ?
If n is a natural number and n<12.03<n+5 then the greatest value of n is
If n is a natural number and n<12.03<n+5 then the smallest value of n is
Ta thấy: n<12.03<n+5
=>n<36<n+5
=>n<36
36<n+5
=>31<n
=>31<n<36
=>n=(32,33,34,35)
=>Giá trị lớn nhất của n là 35
Giá trị lớn nhỏ của n là 32
Find the natural number so that the product of and 5 is a prime number.
Tìm số tự nhiên vì thế sản phẩm và 5 là số nguyên tố.
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.
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.
Find the greatest natural number m such that:
12/17 < 8/5+m < 21/23
\(\frac{12}{17}<\frac{8}{5}+m<\frac{21}{23}\)
\(m=\frac{8}{5}-\frac{21}{23}\) - 1\(m=-\frac{36}{115}.\)
12/17<8/5+m<21/23
=>-76/85<m<-79/115
ta thấy không có số nguyên nào thuộc khoảng từ -76/85 đến -79/115
=>không tìm được m