2. Make a square with small rectangular blocks of wood, with a length of 4 cm and a width of 3 cm. At least such blocks should be used.
3. One decimal place is approximately10,000 by rounding, and it is recorded as 50,000. Before approximation, the maximum value of this number is.
4. 100 natural numbers, and their sum is 10000. There are more odd numbers than even numbers in these numbers, so there is at most one even number in these numbers.
5.975? 935? 972? (), so that the last four bits of this product are all zeros. The minimum value should be filled in brackets.
6. There are three consecutive natural numbers, which are multiples of 12, 13 and 14. The smallest of these three continuous natural numbers (except 13) is a multiple of 13.
12 Insert a number after a five-digit number of 22576. What is the largest of the six figures that can be obtained?
13 Insert a number after a number of six digits 865473. What is the smallest of the seven digits that can be obtained?
14 uses the eight numbers 1 ~ 8 to form two four-digit numbers. What's the difference between these two figures?
15 Build a rectangular pigsty with an area of 72 m2, and the sides of the rectangle are natural numbers (unit: meters). What is the total length of the pen in this pigsty?
The sum of 16 prime numbers is 100. What is the maximum product of these three prime numbers?
17 has a natural number, the sum of its digits is 8888. What is the smallest natural number?
18 add five plus signs between the following lines to form a continuous addition formula, and find the minimum value of the result of this continuous addition formula.
123456789
19 splits 16 into the sum of several natural numbers, and the product of these natural numbers is required to be as large as possible. How to divide it?
How to divide 50 by the sum of several natural numbers, and ask the product of these natural numbers to be as large as possible?
2 1 decompose 30 into the sum of several different natural numbers, and require the product of these natural numbers to be as large as possible. How to decompose?
22 decompose 546 into the product of four different natural numbers. What is the maximum sum of these four natural numbers?
The sum of consecutive even numbers of three two-digit numbers can be divisible by 7. What is the minimum sum of these three numbers?
24 has two three digits, and the six digits that make up them are different from each other. It is known that the sum of these two three digits is equal to 177 1. Find the maximum possible value of the product of these two three digits.
25 Use the five numbers 1, 3, 5, 7 and 9 to form a two-digit number and a three-digit number, and the product of these two numbers is recorded as a; The five numbers 0, 2, 4, 6 and 8 also form a two-digit number and a three-digit number, and the product of these two numbers is recorded as B.
Q: What is the maximum value of (1) (A-B)? (2) What is the maximum value of (b-a)?
There is a natural number. Starting from the third number, each number is exactly the sum of the two numbers before it, such as 246, 1347, etc. What is the largest natural number of this kind?
In the table below, the upper and lower lines are arithmetic progression. What is the minimum difference between the two numbers corresponding to the upper and lower numbers?
All digits of a three-digit number are not zero, and the ratio of the product of the three-digit number and its constituent digits is m (for example, the three-digit number is 432, M=432÷(4×3×2)= 18). Find the maximum value of m ..
29☆ What is the maximum ratio between a three-digit number and the sum of its three digits? (For example, the ratio of 234 to 2+3+4 = 9 is 26. )
30 Seven numbers of 1 ~ 7 make up three two-digit numbers and a one-digit number, and the sum of these four numbers is equal to 100. What is the biggest number among the four selected numbers? What's the smallest two digits?
3 1 Write the first 100 natural numbers into a number in sequence without interval 192:
1234567891012 ... 9899100 cross out 170, and the remaining digits form a 22-digit number. What is the maximum number of this 22-digit number? What's the minimum? 1) If the equation x? 0? 5+2ax+b？ 0? 5=0 and x? 0? 5+2cx-b？ 0? 5=0 has the same root, and A, B and C are three sides of a triangle, so why is the secondary triangle special?
2) known equation ax? 0? 5+bx+c=0(a≠0), the sum of two is S 1, the sum of two squares is S2, and the sum of two cubes is S3. The value of, aS3+bS2+cS 1.
3) It is known that real numbers A and B satisfy a? 0? 5+2a=2，b？ 0? 5+2b=2, find the value of (1/a)+( 1/b). MLM is an illegal commercial fraud prohibited by the state, which is extremely harmful. People involved in pyramid schemes will eventually be cheated. According to reports, a company used pyramid schemes to defraud investors, falsely claiming that "every investor needs 450 yuan for every stock he invests, and after buying a commodity with a value of 10 yuan, he can still get a return from 530 yuan when it expires. After each investment expires, he will continue to invest more. If investors continue to invest, the number of additional investment shares in the next period must be twice that of the previous period. " Retired uncle Zhang invested 1 share first, and will continue to invest more when each period expires. When Uncle Zhang added 16 shares in a certain period, he was immediately told that the company was bankrupt.
1) Suppose Uncle Zhang stopped investing some time before the company went bankrupt, what is his return on investment?
2) How much did Uncle Zhang lose in this pyramid scheme? (Return rate = (return amount-investment amount)/investment amount * 100%)
***0 comments ... a 2+2ab =- 16, b 2+2ab = 10, find a 2+b 2 =
32☆ In the above question, if the digit 100 is crossed out, what is the largest remaining 92 digits? What's the minimum?