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Mathematics. 1. If a two digit number is a and a ten digit number is the square of a digit number, the two digit number can be expressed as____ . 2. If a cuboid is a long, B wide and C high, what does 2 (AB + BC + Ca) mean? 3. What is the meaning of algebraic formula 2 (a + b)?
1. This two digit number can be expressed as: 10A & # 178; + a
2.2 (AB + BC + Ca) denotes the surface area of the cuboid
3. The meaning of algebraic formula 2 (a + b) is: twice the sum of a and B
Can the difference between the new number and the original number be divisible by 99 after a three digit hundred digit number and one digit number are exchanged?
Let the original three digit number be a, the ten digit number be B, and the hundred digit number be C, then (100a + 10B + C) - (100C + 10B + a) = 100A + 10B + c-100c-10b-a = 99a-99c = 99 (A-C). Therefore, the difference between the new number and the original number can be divided by 99
Write a three digit number at will, and the hundred digit number is one digit number. 2. Exchange the hundred digit number and one digit number, subtract the decimal from the large number, and exchange the difference between the hundred digit number and each digit to add. For example, 785 becomes 587, then 785 minus 587 equals 198, the difference between the hundred digit number and one digit number is added, 198 plus 891 equals 1089. Can you find any interesting phenomenon? Explain with the knowledge you have learned!
Original number: 100C + 10B + A
c-a=3
Exchange hundreds and ones: 100A + 10B + C
Large number minus decimal: 100C + 10B + a - (100a + 10B + C) = 99c-99a = 99 (C-A) = 297
Swap hundreds and ones: 792
Add: 297 + 792 = 1089
Xiaoming has 90 pictures and Xiaoqiang has 60. In order to make Xiaoming's number of pictures four times that of Xiaoqiang, how many stamps must Xiaoqiang give Xiaoming?
Later, Xiaoqiang had: (60 + 90) / (4 + 1), = 150 / 5, = 30 (sheets); 60-30 = 30 (sheets); a: Xiaoqiang had to give Xiaoming 30 stamps
Xiao Ming has seven cards with different numbers, which are - 5, - 3, - 1,0, + 2, + 4, + 6
He wants to extract three of them to minimize the sum of the absolute values of the numbers on the three cards. How should he extract them? What is the minimum sum?
Take the smallest absolute value, 0, - 1, 2
And three
Are the squares of 3x = - 2,2x-6 = 7,3 (x + 1) - 3 = 3x identities, conditional equations or contradictory equations?
Spear, bar, constant
It is known that: 3A + 4 = 2B + 2, x ^ 2 = 5, - 4 + 3 = - 1, | x | = - 3, 3x + 5 = 3x + 6, those are identities, those are conditional equations, and those are contradictory equations
-What is 4 + 3 = - 1?
|X | = - 3,3x + 5 = 3x + 6, contradictory equation
X ^ 2 = 5, identity
3A + 4 = 2B + 2, conditional equation
In the equation - 3x + 2 = 1-2x, subtract 2 from both sides of the equation and add () to get () according to the properties of the equation ()
In the equation - 3x + 2 = 1-2x, subtract 2 from both sides of the equation and add (3x) to get (x = 1),
According to the property of the equation [property 1 of the equation, adding (or subtracting) the same number (or formula) on both sides of the equation, the results are still equal]
3x = 2x + 1, then 3x+__ =1, which is based on the properties of the equation__ On both sides of the equation_____
3x = 2x + 1, then 3x+_ -2x_ =1, which is based on the properties of the equation_ 1_ On both sides of the equation__ Plus - 2x, the equation still holds___
(1) 3x-2 = 4, then 3x = 4 + (), which is based on the property of the equation (), on both sides of the equation ()
(2) 4X = 6, then x = (), which is based on the property of the equation (), on both sides of the equation ()
(3) According to "the difference between 3 times of X and 5 is less than 1.5 times of X", the equation ()
(4) Solve the following equation
32=8x 1-1/3x=4 0.2x=1/10 8x-1/2x=1/3x-1
Solve the following equation and write the test procedure
2x-1=5x+7 4-1/2x=1/3x-1 2y=3y+7 4+2x=1/4x-1
(6) (1) two times of X is equal to x, find X
(2) The sum of 5 and X is less than 2 times of X by 1
(7) Write two equations so that its solution is 1 / 2
The equation doesn't have to be very detailed
(1) 3x-2 = 4, then 3x = 4 + (2), which is based on the equality property (1), adding (or subtracting) the same number (or formula) on both sides of the equation at the same time, the results are still equal
RELATED INFORMATIONS
- 1. There is a 3-digit 100 digit numeral which is 2 larger than the single digit numeral, and the 10 digit numeral is 0. If the position of the single digit numeral and the 10 digit numeral is exchanged, the new 3-digit numeral is larger than the original 3-digit numeral 36, what is the original three digit number
- 2. For a four digit number, the number on the hundred digit is twice that on the individual digit, the number on the thousand digit is three times that on the individual digit, and the number on the ten digit is one less than that on the hundred digit
- 3. For a three digit number, the sum of three digits is 12. A hundred digit number is half of a ten digit number. A one digit number is 2 more than a ten digit number. What is the three digit number? Solve by equation
- 4. A three digit one digit number is a, ten digit number is B, and hundred digit number is C. transpose the three digit one digit number and hundred digit number Then a new three digit is obtained, and the difference between the original three digit and the new three digit is the sum value
- 5. Given a + B = 1, ab = - 1, according to (a ^ 2 + B ^ 2) (a + b) = a ^ 3 + B ^ 3 + A ^ 2B + AB ^ 2, calculate the value of a ^ 3 + B ^ 3
- 6. If a and B are opposite numbers, and ab is not equal to 0, then a / b=_____ Why?
- 7. If AB is opposite to each other and a is not equal to 0, then B is greater than 0 B. B of a = 1 C. B of a = 0 D. B of a = negative 1
- 8. It is known that a + B = a, ab = a + 2008, 1-2 (a + AB) + (ab-2b) = 3A. Find the values of a + B and ab
- 9. If a = - (2009 × 2009-2009 / 2008 × 2008 + 2008), B =., C =., find ABC =? If a = - (2009 × 2009-2009 / 2008 × 2008 + 2008), B = - (2008 × 2008-2008 / 2007 × 2007 + 2007), C = - (2007 × 2007-2007 / 2006 × 2006 + 2006) Then ABC =?
- 10. Let the [] sign be the integer sign, then how many different numbers are there from [1 * 1 / 2010] ~ [2010 * 2010 / 2010]?
- 11. There is a two digit number, its ten digit number is a, and its one digit number is B. algebraic expression is used to express the sum of ten digit number and one digit number, and the remaining two digits
- 12. In x-3y, the coefficient of the term containing y is
- 13. Solve the equation {3x + 5Y = 12 {3x + 6y = - 11} x+y/3+x-y/2=6 3(x+y)-2(x-y)=28
- 14. Given 3x + 2Y = 0, find the value of [1 + (2 * y ^ 2) / (x ^ 2-y ^ 2)] [1 - (2Y) / (x + y)]
- 15. If the real numbers x and y satisfy 3x ^ 2 + 6 and Y ^ 2 = 6x, the value ranges of X and x ^ 2 + y ^ 2 are obtained respectively
- 16. Urgent, X squared + 3x + 2 / 2 X-1 + 2 + x-x squared - 4-x squared 10-x, OK fast The square of X + 3x + 2 parts of X-1 + 2 + 6 parts of x-x - 4 parts of X 10-x fraction operation
- 17. Use the method of addition and subtraction to solve the following equations: the first problem x-2y = 13X + 2Y = 11, the second problem 2x-y = 33x + y = 7
- 18. X cube + 4x square y + 4xy square
- 19. If the lines ax-y + 8 = 0 and x-2y + 1 = 0 are perpendicular to each other, what is the value of the real number a Help! Urgent ~
- 20. When a changes in the interval (0,2), find the minimum value of the quadrilateral enclosed by the line and 2 coordinates