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

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: (a) A list a1, a2, a3, a4 of rational numbers is defined so that if one term is equal 41 then 29 to…

A: Note: We are entitled to solve only one question at a time. As the questions are not related and the…

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: the fourth power of an integer is x, and x is between 100 and 600. What is x?

A: It is given that the fourth power of an integer is x.That is, x = n^4, where n is a positive…

Q: Let q = and r = be two rational numbers written in lowest terms. Let be written in lowest terms.…

A: Given:-             Let q =aband r =cd be two rational numbers written in lowest terms. Let s=q+r…

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

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Q: The remainder upon the division of x 98 + 4 by x – 4 in Z, is: 1 None

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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: Enter the rational number as where a and b are integers. The rational number 7 is equal to

A: Given that 712. The objective is to change the mixed fraction to pq form. Now let's change the mixed…

Q: If m times the nth term of an AP is equal to n times its nth term, show that the (m + n) th term of…

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Q: Show that if the simple continued fraction expression of the rational number α, α > 1, is [a0;…

A: Remark : In the question, the reciprocal has a missing element. I am providing the solution with…

Q: a. If b and d are odd, then f is odd. b. If b and d are even, then f is even.

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

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Q: 11-31. Apply the procedures your team developed for adding fractions to add these rational…

A: First take the LCM as the common denominator for both fractions.

Q: 6. Determine if the product of 3/2 and 8/18 is rational or irrational. Explain your answ

A: First we have to find the product of 32and818 Product = 32 × 818 = 2436 = 24×6  = 144

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

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Q: . Classify as rational or irrational. • 8/9 • √3/4 • 49 • √6 •³√8

A: As rational numbers are those numbers which can be written in the form ho p/q where p and q are…

Q: D. We extend from Q20 to Q by another application of the method of ordered pairs, exactly as we did…

A: To explain: Rational numbers in terms of pair of coordinates using addition operation.

Q: Let x be the number with the decimal expression 0.a1 a2 a3 a4 . . ., where an is the remainder of n…

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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: In which pair do both decimals represent rational numbers? Group of answer choices…

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

A: We exclude the values of x at which the expression is not defined, that is at when the denominator…

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

A: Given: 47÷16-21

Q: Write the pair of rational expressions in terms of their LCD. 5n 2n 3n + 3 and 2 n - 1 5n In terms…

A: Write the pair of rational expressions in terms of their LCD    5n3n+3  and  2nn2-1In terms of the…

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

A: Given- The product of a rational number and a rational number is rational. To find- The statement is…

Q: Find the difference between the maximum and minimum of the quantity p2q2/50, where p and q are two…

A: Given:    p + q = 10    Let f = p2q2 / 50

Q: Divide the given rational expressions below. 2-x X 4+5x 3 6-3x 4x +5x 6-x 4x+5x 6-3x 4x+5x 6-4x…

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Q: Of addition of integers, subtraction of whole numbers and division of rationals, which operation and…

A: Note: The natural numbers along with zero form the collection of whole numbers. Remark: Let * is a…

Q: a where a and b are integers. b' Convert each of the repeating decimals to rational numbers in the…

A: Let's consider given number is equal to some Value say x. As there is recurring one one digit so…

Q: Prove the associative property af the rational numbers (Q) a

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

A: Consider the given rational numbers: 35 + 16 Taking LHS of denominator 5 and 6 LHS = 5×6 = 30 35 +…

Q: . To multiply two rational expressions, we multiply theirtogether and multiply their together.So2x …

A: We have to fill in the blanks: To multiply two rational expressions, we multiply their ---- together…

Q: The remainder upon the division of x + 4 by x – 4 in Z, is: 1. None

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

A: We have to perform the indicated operations involving rational numbers: 79-16 Rewriting the…

Q: Show that if r is a rational number, then 2r2+3r+ 1 is rational as well.

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Q: 1) Express with a rational denominator in simplest form. C Eynrocc the following with rotional…

A: Given:1.582.c2a2b

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

A: Simplify: 58×1220

Q: The rational numbers are dense in R. This means that between any two real numbers a and b with a <…

A: We need to prove that Irrational numbers are dense in ℝ . We are given that Rational numbers are…

Q: State the excluded values of the given rational expression: 12 4x+1 2.

A: Given rational expression is:

Q: Let S be the set of all rational numbers that can be expressed as a repeating decimal in the form…

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

A: Subtraction or Addition between rational numbers can be done by taking their L.C.M(lest common…

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

A: n3-6nn2-4

Q: A(n) ______ number is a real number that cannot be expressed as a ratio of two integers

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Q: In which pair do both decimals represent rational numbers

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

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