Rational and Irrational numbers.Are there any real numbers that are both rational and irrational?Are there any real numbers that are neither?Explain your reasoning.Answer the question,not translate the sentences! 相关知识点: 试题来源: 解析 都没有 首先有理数集和无理数集从定义上来说是对立的 所以...
The rational number that does not have a reciprocal is 0.Reason:0 = 0/1Reciprocal of 0 = 1/0 , which is not defined.(2)The rational numbers that are equal to their reciprocals are 1 and -1.Reason:1 = 1/1Reciprocal of 1 = 1/1 =1 Similarly, Reciprocal of-1=-1(3)The ...
complex number,complex quantity,imaginary,imaginary number- (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1 rational,rational number- an integer or a fraction irrational,irrational number- a real number that cannot be expressed as a ra...
a.A member of the set of positive integers; one of a series of symbols of unique meaning in a fixed order that can be derived by counting. b.A member of any of the following sets of mathematical objects: integers, rational numbers, real numbers, and complex numbers. These sets can be...
【题目】Given that x and y are rational numbers, a nd(3+√5)x-(2-√5)y=4+3√5 , find thevalues of. and y. 相关知识点: 试题来源: 解析 【解析】13x=2,y=1(Hint:by rearranging the original expression to obtain(3x-2y)+√5(x+y)=4+3√5 ,the solutionsare3x-2y=4;x+y=...
So, what are rational and irrational numbers? A rational number is a number that can be expressed as a ratio that takes the form: {eq}\frac{P}{Q} {/eq} The rational number is a quotient of this ratio. In this example, both P and Q must be integers, which are positive or ...
任意两个有理数之间必存在一个有理数 证:设a
it brings the real numbers into three disjoint subsets: the set of rational numbers, the set of irrational roots of quadratic equations and the set of remaining irrational numbers (that will include all transcendental numbers, that is, real numbers that are not roots of any algebraic equation)鈥...
Rational numbers are any numbers that can be written as a fraction. In other words, you can rewrite the number so it will have a numerator and a denominator. They have the form a/b in which a and b are integers and b not equal to zero. ...
Recognizing that q2−2qr+r2 can be expressed as:D=4(q−r)2 Step 5: Analyze the discriminantSince q and r are rational numbers, (q−r)2 is always non-negative. Therefore, D is non-negative:D≥0This means the roots of the quadratic equation are real. Step 6: Determine the ...