Show that the following number is rational by writing it as a ratio of two integers. 2 +

Q: If a and b are integers, then a/b is always a rational number. True False

A:

Q: for x belonging to Z,  prove or disprove 2x^2 +x +1 must have a remainder 1, 4, or 5 when divided by…

A: Given statement is false

Q: Prove that for any two rational numbers r and s, the sum r+s is rational. Paragraph Lato (Recom... v…

A: I have given the answer in the next step. Hope you understand that

Q: show that the following number is rational by writing it as a ratio of two integers 5.6077

A: Rewrite the given number as: 5.6077 = 5+0.6077            = 5+607710000 only factors of 10000 are 5…

Q: 2. Find six rational numbers between 3 and 4

A: We can solve the given problem using concept of rational numbers which is, Therefore d=(y-x)/(n+1)…

Q: every rational number is a decimal true or false?

A: We know that rational numbers are of the form of terminating and repeating decimals whereas…

Q: Let S = {(x, y) : x and y rational numbers}. a. What is the interior of S? Justify your answer by…

A: A point x is said to be an interior point of S if there exists a neighborhood N(x) of x such that…

Q: Find a rational number between √2 and √3

A: Topic = Algebra

Q: show that the following number is rational by writing it as a ratio of two integers. 2 9  +  2 3

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Q: State the excluded values of the given rational expression: 22-2x +1 22-4x -5

A: Given rational expression x2-2x+1x2-4x-5 Excluded values that make the denominator equal to zero

Q: Based on the above information, conjecture if the statement is ALWAYS true. SOMETIMES true, or NEVER…

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Q: Show that the following number is rational by writing it as a ratio of two integers. 5.6057

A:

Q: Show that the following number is rational by writing it as a ratio of two integers. 8/9 +2/5

A: A rational number is a real number that is the ratio of two integers. There are certain criteria for…

Q: write (3 In(x)) as a rational function of x.

A: Topic- rational number

Q: Show 2.5262626262626... is a rational number by expressing it as a ratio of two integers.

A: Show 2.526262626.... is a rational number by expressing it as a ratio of two integers as follows.

Q: perform the indicated operations involving rational numbers. Express final answers in reduced form.…

A: Simplify: 23×67÷83

Q: Is this statement true or false? Prove each true statement directly from the definitions and give a…

A: Given: Given statement is The quotient of any two rational number is rational number.

Q: Identify each of the following as rational or irrational: a. 0.583 b. 0.475 c. 3.605551275..

A: Rational irrational identify problem....

Q: Find all numbers for which the rational expression is undefined -En

A: The given rational expression is n3-6nn2-4.

Q: Determine if the numbers are irrational or rational:  0.42422422242222422222...

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Q: Use a calculator to find a rational number r such that |r − π2| < 10−4.

A: Consider the given information. |r − π2| < 10−4 The absolute the function is defined as.…

Q: find the rational number between 5/3 and 12/5

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Q: if the operaton ☆ is cde fined on the set of rational numbers by solve the equation X * 4= fx*…

A: Solution :  Given that the operation * is defined in the set of rational numbers by    x * y = x + y…

Q: Is it possible for the set of rational numbers Q to be isomorphic to R? Explain.

A: Answer :  No , ℚ and ℝ are not isomorphic as rings. Explanation :              Suppose f:ℝ→ℚ be any…

Q: perform the indicated operations involving rational numbers. Be sure to express your answers in…

A: Given:              14+56 Simplify: 14+56 Take LCM of 4 and 6 LCM of 4 and 6 is 12

Q: Suppose that m andn are positive integers and b is a real number so that the principal n" root of b…

A: We have been given that nth root of b exists where b is the real number.

Q: Prove the following statement: "The sum of any two rational numbers is rational." 99

A: Concept Used: A rational number is the number that can be written in the form ab where , a and b are…

Q: The number 473.1987987987 is rational. Write it as a ratio of two integers.

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Q: Show that the following recurring decimals are rational: 0,4 0, 2i (9) 19,45 (p) (ɔ) 0,14

A: We have to convert the following reccuring into rational form

Q: perform the indicated operations involving rational numbers. Be sure to express your answers in…

A: Given: 23-78+14 To determine: The simplified form of the given expression.

Q: perform the indicated operations involving rational numbers. Express final answers in reduced form.…

A: To perform the indicated operations involving rational numbers. Express final answers in reduced…

Q: nslate this statement into its symbolic form: "For every rational number here exists a real number y…

A:

Q: Give an example of each of the following:(c) A rational number that is not an integer

A: Any number which can be represented as pq, where q≠0, is called a rational number. Ex. 23,010,51…

Q: perform the indicated operations involving rational numbers. Express final answers in reduced form.…

A: Given: 47÷16-21

Q: Which of the following sets consists of rational numbers only? Select one: 41 -6.3, , 7 2 3 2, 0.81,…

A:

Q: a. Suppose that r E Q and r E Qª. Prove or disprove: The number (r – x)-1 e Qª. b. Prove or…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Verify that the embedding of ℚ ≥0 in ℝ ≥0 respects ≤. That is, verify for a, b ∈ ℚ ≥0 that if a ≤ b…

A: As the ordering ≤ is not given specifically for embedding of ℚ in ℝ, we will use the Dedekind cuts…

Q: Translate this statement into its symbolic form: "For every rational number x, there exists a real…

A:

Q: Let Q denote the set of rational numbers. Show that card(Q)=x0. What is card(R/Q)?

A: Solution:- Step1:-      It is given that ℚ is the set of rational number  then,        we have to…

Q: 4. Write the difference between the rational numbers and the irrational numbers, giving an example…

A: Write the difference between the rational numbers and the irrational numbers, giving an example for…

Q: perform the indicated operations involving rational numbers. Express final answers in reduced form.…

A: Simplify: 58×1220

Q: Show that the product of a non-zero rational and an irrational is irrational.

A: A number 'a' is said to be rational if 'a' can be written as,pq where p, q≠0 are integers. And, a…

Q: Let a and b be rational numbers. Show that Q(√a, √b) = Q(√a + √b).

A: Given Data Let a and b be a rational number.   Suppose a and b be a rational number. So, √a ϵ Q and…

Q: State whether the following numbers are rational or irrational. a) V4+7/2 b) 36 c) V11²510716 State…

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Q: Show that the following number is rational by writing it as a ratio of two integers 0.79797979.

A: We have to write number 0.79797979... In the ratio of two integers . Lets=0.79797979...we can writ…

Q: Show

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Q: Identify each of the following as rational or irrational: a. 0:583 b. 0:475 c. 3:605551275:::

A: First we will discuss the definitions of rational and irrational numbers. Rational Number : A number…

Q: perform the indicated operations involving rational numbers. Express final answers in reduced form.…

A: 3-8×-612

Q: Find all numbers for which the rational expression is undefined. n-6n

A: n3-6nn2-4

Q: Find the rational number halfway between the two numbers below. 2. and- and is The rational number…

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