What is the set N of all natural numbers?

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

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Q: Examine the properties of the operation o defined by the equation xoy= x2+y2 in the N natural…

A: Given: The equation x∘y=x2+y2 in the N natural numbers set

Q: Claim: For any natural number n, if 6 ∣ n, then 3 ∣ n.

A: Use the mathematical induction to show that the given statement “For any natural number n, if 6 ∣ n,…

Q: Two digit natural numbers are formed, with replacement, from the digits 0 through 9 . How many…

A: The given digits are 0 to 9.

Q: Determine whether the sentence is a statement or not, "91 is a prime number

A: A prime number is a whole number which can not be obtained by multiplying any two other whole…

Q: 5. How many integers from 1000 through 9999 must you pick in order to be sure that at least two of…

A: Considering the integers from 1000 to 9999, which are all 4-digit integers. There are 10 possible…

Q: Two-digit natural numbers are formed, with replacement, from the digits 0 through 9. How many…

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Q: Select all numbers that are irrational. E NIO

A: Ans:

Q: Every natural number can be written as the products of prime numbers

A: Prime numbers are the numbers which have only two factors, 1 and the number itself.

Q: At Jake's Sushi, you can order 3 pieces of sushi, or 5 pieces of sushi. That's just how it is. Of…

A: According to the given information it is required to find the natural numbers n for which it is…

Q: 1. Give examples of two prime numbers and two composite numbers? 2. Give an example of a whole…

A: To find two prime numbers and composute numbers examples and also determine the number that is a…

Q: Find integers ? and ? such that 3220? + 6006? = gcd(3220,6006).

A: Remark: The greatest common divisor (gcd) of two integers is the greatest integer that divides both…

Q: 20. Which set has more elements, the set of rational numbers or the set of irrational numbers?

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Q: Precisely discuss why the Number ‘2’ is a prime number

A: Here we have to discuss why the Number ‘2’ is a prime number.

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: How many subsets are there of the set N = {9}?

A: Given,          The set is N=9We know that,         The number of subsets of a given set is 2n ;…

Q: If the first even integer is 4, then what will be next three consecutive even integers ? O 5, 14, 10…

A: In the question it is asked to represent next three consecutive even integers after even integer 4.

Q: Use inductive reasoning to predict the next number in each list.         5, 11, 17, 23, 29, 35, ?…

A: Consider the provided question, (1) Given:  5, 11, 17, 23, 29, 35, ? After analyze the above series,…

Q: Are the irrational numbers closed under multiplication?

A: Use closure property.

Q: The natural numbers are N= {1,2,3,..}. The prime numbers are P = {2,3,5,7...}. True or false? NCP…

A: The expression, means that A is a proper subset of B . It implies that the number of elements in A…

Q: Is the conjecture "all prime numbers are odd" true or false? O True O False

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Q: For how many natural numbers k is it the case that Icm(6°, 8°, k) = 1212 ?

A: We have to find For how many natural numbers k is it the case that.

Q: A(n) _________ is a letter used in algebra to represent any number from a given set of numbers.

A: A(n) _________ is a letter used in algebra to represent any number from a given set of numbers.

Q: Write the set of natural numbers greater than 16 using the most concise method.

A: We need to write the set of natural numbers greater than 16 using most concise method. We know that…

Q: 2. Use a number line to visualize the following set: S = {n € R | 5 < n< 10}

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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: What number sets does -27 belong to

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Q: 千 -9 -8 -7 -6· -5 -4 -3 -2 -1 0 1 2 3 egment on the number line?

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Q: How many natural numbers are there between -16.5 and 12.5 on the number line?

A: Natural numbers are a part of the number system which includes all the positive integers from 1 till…

Q: (a) Suppose we want to test whether or not the number 217 is prime. List the minimum amount of…

A: NOTE: Hi! Thank you for your question. As per the honor code,we'll answer the first question since…

Q: 11. Discuss briefly using significant word why it might be difficult to describe "a collection of…

A: Given that: 11. A collection of numbers.   NOTE: As per our answering guidelines, we can only answer…

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

A: Solution

Q: 12 belongs to the set of natural numbers

A: The natural numbers (i.e. counting numbers) are numbers which are used for counting and ordering.…

Q: Use the roster method to write the set of natural numbers less. Than 12

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

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Q: Is the geometric mean of the first 100 natural numbers greater, equal or less than 50? Show your…

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Q: Show that the set of odd numbers is countable.

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Q: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits…

A: What is the number of integers with (a) at most n (decimal) digits; (b) exactly n digits (don’t…

Q: How to convince someone that the number 10 is not prime.

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Q: The natural numbers are N=1,2,3,. The prime numbers are P = 2,3,5,7.... True or false? The…

A: Given Information -  Natural Numbers are  N = 1,2,3,4,5,.... Prime Numbers are P = 2,3,5,7,..... We…

Q: Do we know if the number of primes is finite

A: No, the number of primes is not finite because whatever the list of prime number exist, is…

Q: What number is represented by the figure if: ----- || -----I

A: Since, each large square represents 1 unit, hence, we have to count the number of all the large…

Q: Find the sum of all natural numbers n such that 2021-n/99 is a natural number ?

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Q: a) Using only the numbers 0, 1, 2, 5, 6, 7, and 8, determine how many 4 digit natural numbers are…

A: How many 4 digit natural numbers are possible using 0,1,2,5,6,7,8

Q: Suppose a telephone number consists of a sequence of seven digits not starting with a 0 or 1.  a.…

A: From the provided information, The telephone number consists of a sequence of seven digits. a) If…

Q: 7 What number can be classified as a real number, a rational number, an integer, and a whole numb…

A: We need to find number.

Q: Express the set of numbers shown on the number line in set builder notation.

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Q: How many real numbers that are not rational numbers can you name?

A: There are infinite real number which is not rational number