Computers can store integers exactly but not real numbers in general. Instead, they approximate them as.

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

A:

Q: My question is The product of two integers will have the same sign as the quotient of the two…

A: The given statement is true always ,becauseLet take two numbers x and yCase I x and y both are…

Q: what integer is closer to 6

A: given: the integer is six.

Q: We need to find all the whole numbers that have remainder 1 upon division by 4 and write our answer…

A:

Q: Every real number is either a/an_______ number or a/an________ number.

A:

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: Is the statement true or false? If an odd number is less than 15, then it is prime. False Give a…

A: We have to check

Q: What is an integer

A:

Q: Show that if a positive integer is odd, then it's square is odd.

A: To show that if a positive integer is odd then its square is odd

Q: A natural number greater than 1 that has only itself and 1 as factors is called a/an number.

A: Given that  A natural number greater than 1 that has only itself and 1 as factors is called…

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

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Q: Every natural number greater than 1 can be written as the products of prime numbers.

A: Prove that  every natural number greater than 1 can be expressed as product of primes or the number…

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

A:

Q: If x is an odd integer then 5x – 7 is an even integer.

A: 5 and x are odd integers. Multiplication of two odd integers is always odd. Hence, 5x is an odd…

Q: Is there a real number that is bigger than all integers? If so what is the number and if not what…

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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: use proof by contradiction to show that the number is irrational. 3

A: We have to prove 3 is irrational. Let us assume 3 is rational. So, it can be written in the form of…

Q: Are the irrational numbers closed under multiplication?

A: Use closure property.

Q: Can a number N, sum of whose digits is 21345, be a square of a natural number?

A: Given: a number N, sum of digit is 21345

Q: Luna told her friends that she was thinking of a number with the same digit in the ones and the…

A: To determine a number with the same digit in the ones and the thousands place (odd or even).

Q: Determine whether the statement Every decimal with a repeating pattern of digits is a rational…

A: Consider the given statement, Every decimal with a repeating pattern of digits is a rational number…

Q: Show that √17 is Irrational number

A:

Q: the average depth of a certain ocean is 10,551 feet below the surface of the ocean. the integer that…

A: Integers are set of numbers that include negative numbers along with whole numbers. A number greater…

Q: is an even integer then n square is .A Negative

A: Suppose n=m is an even integer.Since n=m , then n2=m2

Q: Show that this number is Irrational number

A:

Q: what are integers ?

A: An integer can be described in simple words as a whole number with negative and positive sides. You…

Q: (c) Show that 3/2+ 2/3 is an algebraic number?

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Q: If a rational number times an irrational number is

A:

Q: What mistakes are found in this proof.

A:

Q: What does the set of real numbers consist of?

A: To discuss about real number

Q: If two integers have the same parity, then their sum is even. (Try cases.)

A: According to the given information it is required to prove that the sum of two integers of same…

Q: Every real number is either a/an number or a/an number.

A: Every real number is either a/an _____ number or a/an ____ number.

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: There is no integer that has a reciprocal that is an integer.

A: As per the instructions, we will be answering only the first question. For (32), Notice that the…

Q: se one) is an integer and x1} is an integer and x21} is an integer and l<x<4}

A: a. The roaster form is given as, 1,2,3,4........ The set-builder form is written as, xx is an…

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

A:

Q: What does the Fundamental Theorem of Arithmetic tell us about natural numbers?

A: THIS question related to number theory.

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

A:

Q: Assuming every integer is either even or odd, How would I show that for any integer, the difference…

A: Assume that every integer is either even or odd. Let the integer considered say x is even. Then by…

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

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Q: Use Proof by Contradiction to prove that the sum of an irrational number and a rational numbe is…

A:

Q: Prove that √7 is an irrational number.

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Q: Find a number that provides a counterexample to show that the given statement is false.

A: We have to find counter example for each of the given statement.

Q: A realtor uses a lock box to store the keys to a house that is for sale. The access code for the…

A:

Q: The set of real numbers, R, is closed under multiplication. What does "closed under multiplication"…

A: Given: Tthe set of real numbers,R , is closed under multiplication. We have to explain the meaning…

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

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.