If Q is a rational number, which statement cannot be true? O is a decimal number that terminates at the hundredths place Q is a non-terminating and non-repeating decimal number. Qis a negative integer. D Q is equal to zero.

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: Justify whether it is true to say that the given is the nth term of an AP  1+n+n2

A: We have to say that whether the given nth term is in A.P. where, 1+n+n2 We have given nth term of…

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: 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: nen 1/2 is a positive odd integer. ed

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Q: Which of the following sets contains an irrational number? Select one: O a. {-6, 0, 2, v16} O b.…

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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: 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: In which pair do both decimals represent rational numbers? O 0.869 and 0.585858... O…

A: To Determine: in which pair do both decimals represent rational numbers? Given: we have 4 types of…

Q: use proof by contradiction to show that the number is irrational. 4/11

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Q: 6. State whether the following statements are true? Or false? Justify your answers if the answer is…

A: Rational numbers can be expressed as a quotient or fraction of two integers  both square root of 12…

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

A: The statement is " The product of a rational number and an irrational number is irrational".

Q: if a\ne -1, then (a+1)0 is equal to

A: (a+1)o =?

Q: 1. 0.0861861861861, when expressed as a rational number, is:

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

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Q: 3 is rational or irrational? 12.98 is rational or irrational?

A: 3 is a  rational number.

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: Let r, s, and w represent three distinct numbers. • ris a nonzero rational number. s is a nonzero…

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Q: a number whose decimal reoresentation repeats is a rational number. true or false

A: A number is rational if and only if its decimal representation is repeating or terminating (i.e.…

Q: -28 5. How is can be express as rational number with numerated the number 4? 84 O4/7 O-4/12 O-4/7…

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Q: Which of the following number is a rational number but not an integer? O 4 O v25

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Q: -28 5. How is can be express as rational number with numerated the number 47 84 O 4/7 O-4/12 - 4/7…

A: Given query is to re write the expression as numerator with 4.

Q: Which of the following sets contains an irrational number? Select one: a. {-6, 0, 2, √16} b. {-3,…

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Q: nth term of an AP  1+n+n2

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Q: If a rational number times an irrational number is

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Q: 1. 5.3535353, when expressed as a rational number, is:

A: we know the sum of infinite geometric  series  whose first term is  a and  whose common ratio is  r…

Q: If 125% of x is 80 and x is n% of 400, what is the value of n? dd inages tere

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Q: Prove by contradiction: The difference between any rational number and irrational number is…

A: Assume that x is an irrational number and y is rational number and assume that x – y is not…

Q: 8. Which of the following numbers is irrational? V289 O 3.16524 O V404 O 2.17362

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Q: on the set of rational numbers as a b = ab D. Com

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Q: Find the indicated real nth root(s) of a. n = 4, a = -81 O +3 -/3

A: This question is about nth real roots of numbers

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

A: Given: 47÷16-21

Q: Which of these, when simplified, represents an irrational number? (0.83) because the product of two…

A: As we know,                       An irrational number is a type of real number which cannot be…

Q: If a and b are integers and c is an irrational number, what type of number will the product of…

A: See the details solution in below

Q: Let n be an integer. If n is an even integer, then n5 + 20 is an even integer. is an irrational…

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Q: dmun IsnoitAT 6 21 5. a) Why are 49 and 16 rational numbers? erdh wond uo b) Why are /21 and 36…

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Q: Are the following statements TRUE or FALSE? e  is a rational number. _____________   2. Every…

A: Consider the provided question, (1) e is rational number, true or false. Since, a rational number is…

Q: For which positive integers $n$ greater than or equal to 2 is $\sqrt[n]{a^{n}}=a$ always a true…

A: We need to check for all the values to get the result

Q: 9) Prove by contradiction:( You can assume that v2 is an irrational number.) а) is an irrational…

A: The statement can be proved using the method of proof by contradiction. First, assume a statement…

Q: Yes or No? If No, give a reason. Assume that a and b are nonzero real numbers.

A: Sum of two rational number is always rational - True

Q: Which statement is true? O 0.121212... is a rational number O 0.34353637 is an irrational number O…

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Q: The product of a rational number and an irrational number is Irrationd O Sometimes O Never Alwavs

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Q: Let a be an irrational number and b be a rational number. Then ab is an irrational number.

A: Given that a be a Irrational number and b be a rational number so we want to prove that ab is a…

Q: 2. Show between any two irrational numbers there is an irrational number. (Hint: Assume r and s are…

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Q: Show

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Q: Consider the statement: "The sum of any two rational numbers is a rational number." Is it true or…

A: A rational number is a number that can be expressed as a fraction with integer values in the…

Q: Identify the following statement as either true or false. Every rational number is also a real…

A: Given : Every rational number is also a real number.

Q: In which pair do both decimals represent rational numbers

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Q: 4. The area of a parallelogram is 198 square units. If the base and the height of the parallelogram…

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