Based on the above information, conjecture if the statement is ALWAYS true, SOMETIMES true, or NEVER true. The product of a rational number and a rational number is rational. O Sometimes O Never O Always

Q: Identify the following statement as either true or false. A number can be both rational and…

A: we have to identify the following statement is true or false

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

A: Given: Statement: The product of an irrational number and an irrational number is irrational. To…

Q: perform the indicated operations involving rational numbers. Be sure to express your answers in…

A: Given that : The expression is 56 - 79 - 310 .

Q: Let a and b be non-zero rational numbers and c be an irrational number. Consider the operations…

A: Givena and b are rational , c is irrational number.To finda+ba-ca·baba.b.c

Q: Classify each number below as a rational number or an irrational number. rational irrational -/25 7…

A: We can fillup the table as below.

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

A: Consider two irrational numbers are 3 and 3. The product of these two irrational numbers is 3·3=3…

Q: perform the indicated operations involving rational numbers. Be sure to express your answers in…

A: GIven15+56-715.

Q: Why is the product of two rational numbers always rational? Select from the drop-down menus to…

A:

Q: Which expression results in a rational number ?

A: To Check: Which given expression is rational

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

A: The statement is " The product of a rational number and an irrational number is irrational".

Q: Find all the numbers for which the rational expression is undefined 6/(z-5)

A: Consider the given expression as 6z-5

Q: Greg says that 3.3 is a rational number kari says that 3.3 is not a termanating decimal who is…

A: Given: Greg says that 3.3 is a rational number kari says that 3.3 is not a termanating decimal.

Q: ll integers are rational numbers

A: All integers are rational numbers

Q: Let r, s, and w represent three distinct numbers. • ris a nonzero rational number. s is a nonzero…

A:

Q: Which phrase does NOT describe a rational number? A. integer number B. repeating decimal C.…

A: A. integer values can be represented as  a rational number.   B. repeating decimal values can be…

Q: Which of the following statements are true of irrational numbers? Check all that are true. The…

A: Incorrect statements:4=2=21 is a rational number.Irrational numbers can not be written as…

Q: Show that 3 € Q| /6|.

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

Q: perform the indicated operations involving rational numbers. Be sure to express your answers in…

A: Given:              14+56 Simplify: 14+56 Take LCM of 4 and 6 LCM of 4 and 6 is 12

Q: The negation of “For all real numbers x, if x > 2 then x^2>4” is “For all real numbers x, if x > 2…

A:

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

A:

Q: 7. Let 'p' represent "x^2 = 49". Let 'q' represent "x is a rational number". Which is a…

A: To determine: The correct option if x is not a rational number. Given information: The variable p…

Q: On the number line, a and b are rational numbers. Tell whether each statement is True or False. +++…

A:

Q: 2. How many of the following statements are correct? I. -4 is a rational number II. is an integer 1…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: ind the length of side x in simplest radical form with a rational denominato 45° 45 V3

A: By using trigonometry ratio, we find the value of 'x'.

Q: Prove by contradiction: The difference between any rational number and irrational number is…

A: Assume that x is an irrational number and y is rational number and assume that x – y is not…

Q: nslate this statement into its symbolic form: "For every rational number here exists a real number y…

A:

Q: Determine whether each number is rational or irrational. If it is rational, determine whether itis a…

A: Known fact: A number is said to be rational number if it can be written as pq,  q≠0. A number which…

Q: Which of these rational numbers is not equal to an integer? 81 O V81 9. 81

A: From the given rational numbers

Q: need help with this Show that the following number is rational by writing it as a ratio of two…

A: Show that 41 and 7 are rational numbers

Q: If x and y are positive rational numbers, prove that there exists a positive integer n such that nx…

A: Given: If x and y are positive rational numbers, prove that there exists a positive integer n such…

Q: True/False: if a, b are irrational numbers, then a+b is an irrational number. True False

A: A Rational Number is a type of real numbers, which is in the form of pq where q is not equal to…

Q: 2. Which of the following statements is true? A Every rational number is an integer. Every whole…

A:

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

A:

Q: V2 is real number, then v2 is a rational number.

A:

Q: The product of a rational number and an irrational number is Irrationd O Sometimes O Never Alwavs

A:

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: a Show that each number is rational by writing it in the form , where a and b are integers and b +…

A:

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

A:

Q: Let q = and r = be two rational numbers written in lowest terms. Let %3D s= 4+r and s - be written…

A: q=a/b and r=c/d.   s=q+r   s= a/b + c/d = (ad+bc)/bd = e/f. e= ad+bc and f=bd

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

A: Given that product of a rational number and a irrational number is an irrational number.

Q: Let Q be the set of all rational numbers. Which of these equations has no solution in Q? I: x? – 2 =…

A: Given equation are

Q: Let a be an irrational number and b be a rational number. Then ab is an irrational number.

A: Given that a be a Irrational number and b be a rational number so we want to prove that ab is a…

Q: Identify the following statement as either true or false. All integers are also rational numbers.…

A: Identify the following statement as either true or false.

Q: perform the indicated operations involving rational numbers. Be sure to express your answers in…

A: Subtraction or Addition between rational numbers can be done by taking their L.C.M(lest common…

Q: Identify the following statement as either true or false. Every rational number is also a real…

A: Given : Every rational number is also a real number.

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.