Determine whether the statement Every decimal with a repeating pattern of digits is a rational number. is true or false. If it is false, explain why or give an example that shows it is false.

Q: List all the forms of rational numbers with example for each form.

A: Given problem is: List all the forms of rational numbers with example for each form.

Q: is the set of irrational numbers closed for: a) addition and b) multiplication

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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: 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: 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: Select all numbers that are irrational. E NIO

A: Ans:

Q: V1296 is a number. Select all words that make this statement true. Integer Rational Irrational Whole

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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 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: Determine whether the statement, given in inverted commas" is trueor false. If the statement is…

A: Irrational numbers cannot be negative.

Q: Are the rational numbers closed under addition? Choose the correct answer below. Yes O No

A: Given question :-  Are the rational numbers closed under addition ?

Q: Are the rational numbers closed under addition? ... Choose the correct answer below. Yes O No

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Q: Find a counterexample to the statement. The product of any integer and itself is even. Answer How to…

A: Given:         The product of any integer and itself is even.   Let us take an integer =2 When we…

Q: Give an example of an irrational number that greater than 10:

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Q: ll integers are rational numbers

A: All integers are rational numbers

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

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Q: List the set of integers that satisfy the given conditions; a positive multiple of 5 and not a…

A: The given condition is that element of the set should be positive multiple of 5 and not a multiple…

Q: Determine whether the number is rational or irrational. 2.678667866678... Is 2.678667866678...…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: All prime numbers are odd.

A: We have state whether given statement is True or False. We know that  A prime number is a number…

Q: Are the irrational numbers closed under multiplication?

A: Use closure property.

Q: Show that 3 € Q| /6|.

A: Given  ℚ6=a+b6:a,b∈ℚ  To prove : 3∉ℚ6

Q: which decimals are rational numbers? select all that apply.

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Q: The set of all closed intervals whose endpoints are rational numbers, ie {[a, b]; Show that the set…

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

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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: Determine whether the statement, given in inverted commas" is trueor false. If the statement is…

A: Rational numbers:     All numbers in the form of pqWhere both p and q are integers, q≠0"Some…

Q: True or False Any nonzero integer divided by 0 equals 0.

A: False

Q: Rational numbers such as 2 and - 1, are examples of numbers. equivalent

A: the given numbers are 234 and -112 both the numbers are not same, therefore they are not equivalent.…

Q: Which of the following is FALSE about the relationship between whole numbers and rational numbers? O…

A: We are given 4 statements regarding knowledge in whole number and rational numbers. We need to find…

Q: Some irrational numbers are whole numbers

A: Solution: The objective is to explain the given statement.

Q: Explain a) Why the set of rational numbers is countable. b) How to prove that a universally…

A: (a) Query- Why the set of rational numbers is countable. Answer- The set of all rationals in 0,1 is…

Q: Are the natural numbers closed under addition? Choose the correct answer below. O Yes O No

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Q: How many irrational numbers are there?

A: How many irrational numbers are there?

Q: Is the set of rational numbers open or closed?

A: Given: Set of rational numbers. To check: Whether the set of rational numbers open or closed.

Q: Why do these rational numbers have terminating decimal? 1/30, 1/32, 1/40, and 3/60.

A: The number is said to be terminating if its denominator is in form of 2x5y. Simplify each number and…

Q: Define the binary operation * on the set of rational numbers as : a*b = ab + a - b. What should be…

A:

Q: Is 0.101001000100001000001… a repeating decimal? Is it rational or irrational? Explain (hint if the…

A: Explained below

Q: Suppose that a superball dropped from a height of 36 ft always rebounds of the distance fallen.…

A: Given that  Super ball dropped from height h = 36 ft Rebound height = 1/4 of fallen To find total…

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

A: Given: 47÷16-21

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

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Q: 1 キ

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Q: Activity 1 Determine whether each statement is a simple or compound statement. 1. It is not the case…

A: We need to check whether the given statements  are simple or compound

Q: Suppose you divide a natural number n by a positive rational number less than 1. Will the answer…

A: Take a rational number x=p/q such that x belong to (0,1)

Q: Show that every odd integer is the sum of two consecutive integers

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Q: Classify each number by placing an X in any of the boxes that apply Number Natural  Whole Integer…

A: Consider the given numbers:

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: Define the binary operation * on the set of rational numbers as : a*b = ab + a -b. What should be…

A: Given binary operation is a*b = ab + a - b

Q: (b) Use Newton's method to construct a sequence of rational numbers con- verging to √2. Google…

A:

Q: Identify the conclusion in the statement: Composite numbers are a subset of integers and irrational…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.