What is the difference between rational numbers and irrational numbers? (give an example)

Q: . Explain the steps involved in rationalizing a denominator. What is the logical first step in…

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Q: Sums and Products of Rational and IrrationalNumbers Explain why the sum, the difference, and…

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Q: Define rational and irrational number. Give examples.

A: Given:Define rational and irrational number. Gives examples.

Q: True or false 0.72 is an irrational number. True

A: We have to solve given problem:

Q: True or False ? All irrational numbers are real numbers

A: All irrational numbers are real numbers

Q: 5. How is -28 can be express as rational number with numerated the number 4? 84

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Q: Determine if the numbers are irrational or rational:  4/9

A: A number p/q form where p and q are integers q≠0 called as rational number Or if a real number can…

Q: Part A. Ranional & Irational Numbers 1. For each number, state if the number is rational or…

A: Kindly keep a note in step 1️⃣ stating that as per our guidelines we are supposed to answer only 1️⃣…

Q: What do you think? Why did mathematicians create these different categories? Why may it be helpful…

A: In mathematics the mathematicians the whole numbers, integers and rational numbers. Because of easy…

Q: what are some irrational numbers characteristics

A: We need to tell some characteristics of irrational numbers. The characteristics are as follows:

Q: n 16 1 out of 2 points Decide if the following rational number can be written as a terminating…

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Q: Classify the number as a member of one of the following sets: the rational numbers, the integers,…

A: The given number is:

Q: Is the cube root of 7 a rational number? Is it a transcendental number? Is it a real number? Justify…

A: Cube root of 7 is not a transcendental number as x3-7 is a polynomial whose root is 71/3. Now,…

Q: 6 181 元 - 15 0.8

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Q: 29. A rational in disguise. Show that the number (v2") is a rational number even though it might…

A: 29)

Q: is -√5 rational or irrational

A:

Q: 3) Which diagram best represents the relationship among integers, rational numbers, and w numbers?…

A: As we know thatset of integer is ℤset of rational numbers is ℚset of whole numbers is ℕ∪0

Q: Some irrational numbers are whole numbers

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

Q: Using only the definition of rational and irrational numbers, show that if (n + 3)² is irrational,…

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Q: Please use number theory to solve the problem, thank you. (a) Show that if x is rational then x is…

A: Part(a): Given as x is any rational number that is x∈ℚ. Therefore we can write as, x=pq Where p,q∈ℤ…

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: 7) Write four examples of rational numbers.

A: a rational number is a number that can be expressed as the quotient or fraction p/q of two…

Q: Explain the steps involved in rationalizing a denominator. What is the logical first step in…

A: Steps and logic involved in rationalizing the denominator of 53.

Q: Classify the number as a member of one of the following sets: the rational numbers, the integers,…

A: We can find the answer as below

Q: Part III: The number 21 is a(n). number because,

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Q: True or False Rational numbers and irrational numbers are in the set of real numbers.

A: Known fact: Set of real numbers contains rational numbers and irrational numbers.

Q: What is the best name for this number? -20 * Rational Irrational Whole Integer O Natural What is the…

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Q: using the argument of decimal expansion/representation, Prove that between any two irrational…

A: Given below clear explanation

Q: Decimal representing of a rational number cannot be non-terminating and non- repeating.

A: Let x be a terminating and non-repeating decimal number. Find the rational number representation for…

Q: rational irrational -/26 -89.7 66. 82

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Q: What is the diffference between lowest common denominator and lowest common

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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: 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: 88. DISCUSS: Sums and Products of Rational and Irrational Numbers Explain why the sum, the…

A: The statement given is that "the sum, difference and the product of two rational numbers are…

Q: Which is an irrational number? 1) Vo 2) 3.14 3) 3 3 4) 4

A: 1.  9=3 is a rational number. 2. 3.14 is a rational number.

Q: In your own words clearly distinguish and differentiate between rational numbers and irrational…

A: Rational numbers and Irrational numbers are part of real numbers, in fact we can divide real numbers…

Q: Using the rule for Terminating Decimals, determine if the given rational number can be written as a…

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Q: Is 0.545 a rational or irrational number? Explain your reasoning. B IU 1.

A: A number which can be expressed in the form of pq where q≠0 is known as rational number, while the…

Q: Write a paragraph describing different real-world situations in which you would use natural numbers,…

A: Natural numbers: When we count living and non living things we need help of natural number.

Q: The number (a+ 2) is: Rational and Integer Irrational number Integer only Rational only

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Q: _2. How would be classified? A. Rational and real numbers B. Whole and integer C. Real number D.…

A: Defination :-  Real number : All numbers are real  Rational number:- Terminating or repeating…

Q: In a hierarchy of real numbers, what are the first two subsets? A integers, whole numbers positive…

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

A: Given: Statement: The sum of rational number and an irrational number is irrational. To determine:…

Q: An apple pie of 2.3 pounds serves 6 people. If you could increase the weight by an additional 7…

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: Classify the number as a member of one or more of the following sets: the rational numbers, the…

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

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Q: Rational or Irrational.

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Q: The sum of an irrational number and an irrational number is irrational.

A: The sum of an irrational number and an irrational number is irrational. The above statement is…

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

A: Given statement, The sum of a rational number and a rational number is rational.