Positive number 正数Negative number 负数
Rational numbet 有理数Number axis 数轴
Origin 原点Opposite number 相反数Absolute value 绝对值
Power 幂
Base number 底数Expoent 指数Approximate number 近似数Signifcant digit 有效数字Monomial 单项式Coefficient 系数
Degree of a monomial 单项式的次数Polynomial 多项式
Tern 项
Constant tern 常数项Degree of a polynomial 多项式的次数Integral expression 整式Equation 方程
Linear equation with one unknown 一元一次方程
prime numbers 质数
natural numbers 自然数
integer 整数
add 加
reduce 减
multiplication 乘法
division 除法
1。
the sum of two numbers is 28.find the numbers if the sum of their squares is a minimum.
两数之和为28。
如果两数之积为最小值，两数分别是多少？
2。
two numbers have a difference of 16.. find the numbers if the result of adding their sum and their product is a minimum
两数之差为16。
如果两数的和与积之和为最小值，求两数分别是几。
3。
a uniform border on a framed photograph has the same area as athe photograph. what are the outside dimensions of the border if the dimensions of the photograph are 25 cm by 20 cm .
一个均匀宽度的相框的面积与里面相片的面积相同。
若相片长20厘米，宽25厘米，求相框外围的的长宽。
4。
a bus company carries about 20000 riders per day for a fare of 90 $ a survey indicates that if the fare is decreased. the number of riders will increase by 2000 for every 5$ of decrease. what ticket price would result in the greatest revenue ?
一个公交车公司每天载客量为20000，每人每张票价为90元。
某调查问卷显示，如果票价降低，每降低5元，载客量将增加2000人。
为了最高的利润，公司应该把票价定在多少元？
5。
a lifeguard marks off a rectangular swimming area at a beach with 200 m of rope. what is the greatest area of water she can enclose ?
一个救生员用一根200米长的绳子围出一个长方形的游泳面积。
她能围出的最大的面积是多少？
Mathematic Forms 数学式
(1) Addition 加法
1+2=3 One and two are three.
2+3=5 Two plus three equals five.
4+0=4 Four and nought is equal to four.
45+70+152=267 45,70 and 152 added are (or make) 267
the sum (or total) is 267.
(2)Subtraction 减法
9-4=5 Nine minus four equals (or is equal to) five.
15-7=8 Seven from fifteen leaves eight.
23,654-8,175=15,479 8,175 (take or subtracted) from 23,654
leaves 15,479.
(3)Multiplication 乘法
1*0=0 One multiplied by nought equals nought.
1*1=1 Once one is one.
2*1=2 Twice one is two.
3*5=15 Three times five is fifteen
6*0=0 Multiply six by nothing, and the result is nothing.
(4)Division 除法
9/3=3 Nine divided by three maks (or is equal to) three.
20/5=4 Five into twenty goes four times.
4567/23=198余13 23 into 4567 goes 198 times, and 13 remainder.
The quctient is 198, and 13 remainder.
The sum of n different natural numbers is less than50.the greatest possible value of n is----
2.Let a be the average of all odd prime numbers less than 50.The inreger,most close to a is----
3.If two even natural numbers x,y satisfy equation x的平方加100等于y 的平方,x大于y then x乘y等于----
1. Since there are some controversies, I suppose 0 does not belong to natural numbers in this case. The answer is quite straight foward,
1+2+3+4+5+6+7+8+9=45. If we add 10, then the sum will exceed 50. So the greatest possible n is 9.
2. First of all, you can list all the odd prime numbers less than 50:3 5 7 11 13 17 19 23 29 31 37 41 43 47. Add them up, and calculate the average. The average a is equal to 2
3.3. Therefore the integer, most close to a is 23.
3. x^2+100=y^2,then (y-x)(x+y)=100, since x and y are natural numbers, x+y>0, y should be larger than x. I am afraid there is either something wrong with the problem or a typing mistake.
You can show me the original version of the problem 3.。