A more skillful math problem will be rewarded with 30 points

Updated on educate 2024-04-14
15 answers
  1. Anonymous users2024-02-07

    Single digit, 1+2+......9=45

    Two digits, from 10 to 99

    The ten digits appear 10 times from 1 to 9, i.e. 10 to 19 ,......90 to 99, so a total of 10*(1+2+......9)=450

    If 0 is not counted, then 1 goes from 11, 21, to 91, 9 times.

    then the others are also 9 times.

    So it's 9*(1+2+......9)=405

    So the two-digit number is 450 + 405 = 855

    Three digits. hundreds, 1 from 100 to 199, 100.

    So the others are also 100 pcs.

    So it's 100*(1+2+......9) = 4500 decimal digits, 1, is 110, 111 ,......119,210,……919 appears 10*9=90 times.

    So the sum of the ten digits is 90*(1+2+......9) = 4050 digits, 1, from 101 to 991, is 90.

    So the single digits are a total of 90 (1+2+......9) = 4050, so the same goes for the three-digit number 4500 + 2 * 4050 = 12600. Four digits, the thousand digits are 1000*(1+2+......9) = 45000 hundreds, ten digits and single digits are 900*(1+2+......9) = 40500 so a total of 45000 + 40500 * 3 = 166500 so total.

  2. Anonymous users2024-02-06

    The answer is 18000, method 1: the number from 1 to 9 is 45, the number from 10 to 19 is 55, the number from 90 to 99 is 135, the number from 1 to 99 is 900, the number from 100 to 199 is 1000, and the number from 900 to 999 is 1800, they are in a series of equal differences, so the number from 1 to 999 is 14500 for the number to 1999, The sum of the numbers from 2000 to 2999 is 15500 and so on, with a tolerance of 1000 and a series of 100 terms with 4500, the sum of 10 terms is 166500, so the sum of the numbers from 1 to 9999 is 180000

    Method 2: Fill all numbers into four digits, such as 1 to make up 0001, 16 to make up 0016, so it seems to be the arrangement of ten numbers from 0 to 9.

    A total of 10,000 numbers, 40,000 numbers, 0-9 each appear 4,000 times 45 times 4,000 times 4,000 = 180,000

  3. Anonymous users2024-02-05

    9999 + 1 = 10000 digits sum = 37, excluding zeros.

    9990 + 10 = 10000 digits sum = 28, including a zero.

    9900 + 100 = 10000 digits sum = 19, including two zeros.

    9000 + 1000 = 10000 digits sum = 10, including three zeros.

    9009 + 991 = 10000 digits sum = 37 is calculated without zero.

    9909 + 91 = 10000 digits = 37 is calculated without zero.

    9099 + 901 = 10000 digits = 37 is calculated without zero.

    9890 + 110 = 10000 digits = 28, calculated as including a zero.

    The sum of 8600 + 1400 digits = 19, calculated as containing two zeros.

    This leads to the inclusion of three zeros. There are four groups.

    Contains two zeros. There are 45 groups.

    Contains a zero. There are 450 groups.

    Contains no zeros. There are 4500

    Add 5000 as the sum of the middle numbers = 5

    Positive integers 1, 2, 3 ......The sum of all numbers of integers, 9998, 9999 is an extended formula: 9*5+(1+2*9)*9*5+9*5*10(1+3*9)+9*5*100(1+4*9)+9*5*1000(1+5*9).

  4. Anonymous users2024-02-04

    Make up all numbers into four digits, e.g. 1 makes up 0001 and 16 makes up 0016

    In this way, it looks like a ten-digit arrangement of 0-9.

    A total of 10,000 numbers, 40,000 numbers, 0-9 appear 4,000 times each.

  5. Anonymous users2024-02-03

    There are a total of 9999 single digits, 1 9 each 1000 times, 0 999 times, and the sum of the single digits can be 45000

    There are 9999 tens of digits, 1 9 1000 times each, and 0 999 times, and the sum of the tens is 45000

    The number of hundreds and thousands is the same as above, and the sum is 45000*4=180000

  6. Anonymous users2024-02-02

    Answer: 180000

    Explanation: 1+9998=9999 numbers and 9+9+9+9=362+9997=9999 numbers and 9+9+9+9=369998 2 4999 A total of 4999 groups.

  7. Anonymous users2024-02-01

    1.Solution: Bringing x=0 into the original equation yields: k crack search + 3k-4 = 0k + 4) (k-1) = 0

    k1=-4 k2=1

    2.You can use a multiplication formula (perfect square formula or square difference formula) to decompose the factors to get two unary linear equations.

    2p)/2]²=2p²-1

    p²=2p²-1

    The value of 1=p p is p1=1 p2=-23Solution: -x+2 Hunger 6=k x

    x²+2√6x-k=0

    x²-2√6x+k=0

    There is only one rotten source shouting a public point, 0

    2√6)²-4k=0

    24-4k=0k=6

  8. Anonymous users2024-01-31

    1.What is the number that is 50% more than 180?

    2.For a project, a certain engineering team worked for 7 days to complete 20% of it, according to this calculation, how many days will it take to complete the project?

    28 days. 3.The teacher corrected the essays of the two classes, 30% of the total number was approved in the first lesson, 40% of the total in the second lesson, 24 books in the first lesson, and how many books were approved in the second lesson?

    32 copies. 4.There are 24% of the students in the playground kicking the shuttlecock, 36% of the students are playing with the pocket, the students who play the pocket are 6 more than the students who play the shuttlecock, how many students are playing the pocket on the playground now?

    18 people. 5.In a brine with a salt content of 20%, how much less salt is than water?

    After the price of a product is reduced by 20%, the price is increased by 20%, and the current price is higher than the original price? Or is it lower than the original price?

    Therefore, the current price is lower than the original price.

  9. Anonymous users2024-01-30

    1 100x(1+50%)=150

    5x7 = 35 days.

    80x40%-32

    6÷12%x36%=16

    5 has a water content of 75

    Since the content is 20%, let the salt be 20 and the water be 80, so the salt water is 100, and the salt is less than the water (80 20) 80 = 75%.

    6 is lower than the original price, which is 96

  10. Anonymous users2024-01-29

    It's all a matter of proportions and unary equations, take a good look at the book and do the math yourself......It's not hard.

  11. Anonymous users2024-01-28

    1,11 min. 200x12 (200+20)2,190pcs.

    3. Truck: 284km passenger car, 568km 852 (1+2) 3 and 1 4 hours 980 square meters.

    6x8÷10

    The original number is Let the original number be x 10x-x= x=

  12. Anonymous users2024-01-27

    1.200 12 (200+20)=minutes) Answer: It takes about 11 minutes to reach the end of the line.

    2.A: You can do 190 now.

    3.852 3 1 = 284 (km).

    852 3 2 = 568 (km).

    A: 568 km for buses and 284 km for trucks.

    5. s=6×8÷2=24

    h=24×2÷10=

    6.100x+10y-(10x+y)=10x+y=original number.

  13. Anonymous users2024-01-26

    On [0,1) is the increment function.

    then 0<=a0

    So f(x) at (-1,0) is a subtractive function.

    Domain. -1a^2-4

    a 2-a-2<0,-10,a 2-4>0 multiplier function. a-20

    a>2,a<-1

    So 2a 2-4

    a^2+a-6<0

    34-a^2

    a^2+a-6>0

    a<-3,a>2

    So 2 so. √3

  14. Anonymous users2024-01-25

    a, b, c are all integers, and a 2 + b 3 = c 4, find the minimum solution of c: a 2 + b 3 = c 4

    b^3=c^4-a^2

    b 2 * b = (c 2 + a) * (c 2-a) because a, b, c are all integers.

    So: c 2 + a = b 2 (1) or c 2 + a = b (3).

    c^2-a=b (2) c^2-a= b^2 (4)

    1) + (2) or (3) + (4).

    Equally: 2c 2 = b 2 + b

    Multiply the two sides by 4 to get 1 plus 1 to get

    8c^2+1=4b^2+4b +1

    Recipe, obtain: 8c 2 + 1 = (2b + 1) 2

    Since b is an integer, the minimum value of (2b+1) 2 is 1, i.e., the minimum value of 8c 2+1 is 1

    So, 8c 2+1=1

    Solution: c=0

    c minimum is 0

  15. Anonymous users2024-01-24

    I know what you mean, you don't understand in breaking down 2 formulas, right?

    Indeed, integers also include negative numbers, so C 2-A and C 2+A cannot tell who is bigger and who is smaller, because A may be ...... negative number

    But you can think of it this way, if one of them is negative, then c can't have a minimum, and c can't be infinitely smaller, so c can only be positive, and the same can be carried together, and a and b are also positive.

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