Describe the structure of the real number by writing a statement that summarizes when a real number had exactly one infinite decimal representation, when a real number has more than one infinite decimal representation and all of the representations that are equivalent.

Q: What two nonnegative real numbers with a sum of 62 have the largest possible product? The numbers…

A: Given, sum of two numbers are 62. Let one of them is x, then other will be (62-x). Product of these…

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

A:

Q: What two nonnegative real numbers with a sum of 50 have the largest possible product? The numbers…

A: We are asked to find the largest possible product of the two non negative number whose sum is 50

Q: Identify the following statement as either true or false. Every whole number is also an integer.…

A: Whether the given statement is true or false

Q: Give a direct proof of the theorem “The sum of any two odd integers is even”.

A:

Q: How a non-terminating non-recurring decimal real number can be represented on a number line?

A: To determine a method to represent non-terminating non-recurring decimal real number can be…

Q: What two nonnegative real numbers with a sum of 66 have the largest possible product? The numbers…

A:

Q: What two positive real numbers whose product is 19have the smallest possible​ sum?

A: We want to find the two positive real numbers whose product is 19 and the smallest possible sum.

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: 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: state the property of equality or the property of real numbers that justifies each of the…

A: Given 3(x+4)=3(x)+3(4)…(1) We need to state the property of the real number that justifies the above…

Q: state the property of equality or the property of real numbers that justifies each of the…

A: Given: 6(-7) = -7(6) because of the commutative property of multiplication and if 2 = x+3 then x+3 =…

Q: Which of the following statements is NOT true on operations on real numbers?  a. Addition is…

A: Given: Four operations on real numbers. Consider two real numbers 3 and 4.

Q: Which between the two binary operations on real numbers x and y are commutative? Justify your…

A: Given

Q: Identify an opposite. Explain. an integer that does not have

A: Since every integer has its opposite except 0. That is, +0=-0=0 or, that means, 0 is equal to its…

Q: For any constructible positive number α, show that ±squrt(α) are constructible. Correct answer only.

A:

Q: Define an odd number and show that the product of odd even numbers is also even.

A: We need to first define an odd number. And layer prove product of an odd and an even number is…

Q: Choose at least 5 among the properties of the Real Number and give them an example in real life…

A: Solution is given as below:

Q: Rewrite the number without using the absolute value symbol, and simplify the result. 16. |- 3 - 2|…

A: The values in the absolute are always positive. Therefore, remove the absolute symbol and consider…

Q: state the property of equality or the property of real numbers that justifies each of the…

A: Given a equality, 3(98)+3(2)=3(98+2) We need to state the property of the equality.

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: What two nonnegative real numbers with a sum of 34 have the largest possible product?

A:

Q: Is the statement, "If a number is divisible by 2 and 3, then the number is divisible by 6" true or…

A:

Q: What does the set of natural numbers consist of? What does the set of integers consist of? Give an…

A: Natural numbers are also known as counting numbers as they are used for counting. This begins with…

Q: state the property of equality or the property of real numbers that justifies each of the…

A: Given:  if 2 = x + 3, then x + 3 = 2 is true because of the symmetric property of equality.

Q: state the property of equality or the property of real numbers that justifies each of the…

A: Given that : The statement , [(17)(4)](25) = (17)[(4)(25)]

Q: state the property of equality or the property of real numbers that justifies each of the…

A: According to the inverse property of multiplication: ab×ba=1 i.e. the product of a fraction with its…

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

A:

Q: Let the binary operation *, be defined as a * b = a + 2b, where a and b are real numbers. a. What is…

A:

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: state the property of equality or the property of real numbers that justifies each of the…

A: Given statement: 7+3+-8=7+3+-8

Q: Let the binary operation *

A: Given,          a*b=a+2b where a and b are real numbers

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

A:

Q: What two nonnegative real numbers with a sum of 64 have the largest possible product? The numbers…

A: Let two positive numbers are x&y

Q: Determine all natural numbers divisible by 8 whose sum of digits is less than 10 and the product of…

A: Permutation and combination concepts will be used to filter out all the 3 scenarios in getting…

Q: a. On each of four consecutive plays in a football​ game, a team lost 8 yards. If lost yardage is…

A: On each of  four consecutive Plays in football gane team lost 8 yards

Q: If the domain consists of all real numbers, just type t = 00 with tw To input the symbol +, type !=…

A:

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

A:

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

A:

Q: 무1-= (플-) + - f1--(윤-) + 유- %3D 를1-%3 (뚜1-) + 8-3 (유1-) + 음- 1. 2 -1 What calculation is modeled on…

A:

Q: Use the inductive reasoning to form a conjecture about the following. Then, use deductive reasoning…

A: a) Let the even number be 2 and the odd number be 3 thus the sum of the numbers is 5 that is odd.…

Q: In the following, it is possible that one of the properties of the real numbers has been applied…

A: The given equation is,

Q: a + (-a) = : The sum of a real number and its additive the additive

A: a+(-a)=_______: The sum of a real number and its additive_______is _______, the additiive________.

Q: A submarine descends to a depth of 600 feet below the surface in 11 minutes. At this rate, what…

A:

Q: state the property of equality or the property of real numbers that justifies each of the…

A: Given, -1(x+2)=-(x+2)