Name all of the ways to identify each number Perfect Sc Natural Whole Integer Decimal Fraction Rational or Irrational Real or Not Real V12 Tt/4 V64 13 V-64 -1/2 -V64 .616161616.. -13 8/0

Q: Express 3.63636363636. . . as a rational number, in the form •. where and q are positive integers…

A: To Determine: Express 3.63636363636... as a rational number, in the form p/q Where p & q are…

Q: Find a Rational number between 1/4 and 1/3

A: We will use basic knowledge of rational numbers to answer this question.

Q: How many 3-digit positive integers exist that when divided by 7 leave a remainder of 57

A: 3 digit positive integers start from 100 and ends with 999. Least positive 3 digit integer which…

Q: Express the interval shown on the number line in interval notation. -8 4 8. 10 12 -12 -10 -4 -2 () U…

A:

Q: Let ab5c be all four-digit multiples of number 36 with different digits. If someone found 7 numbers…

A: Let ab5c be all four digit multiples number 36 with different digits.   As 36= 4x9, so the number…

Q: Place a check mark in the table to identify all the sets that the identified number belongs to.

A: Natural Numbers -  All numbers starting from 1 to infinity are natural numbers.Whole numbers - All…

Q: Express 3.765765765.. as a rational number, in the form P where p and q have no common factors.

A:

Q: How many integers greater than 5400 and less than 10000 have both of the following properties: -…

A: To count the number of positive integers satisfying all the required properties

Q: Identify the rational number {5, v7, /16, 3, 3.1458....} O {V7, 3.1458...} O (5, V16, 2} O{V7, V16,…

A:

Q: Fermat's theorem is not true for some prime number. Select one: O True O False

A: Fermat's theorem states that if p is a odd prime number, then for any integer a, the number ap − a…

Q: a number whose decimal reoresentation repeats is a rational number. true or false

A: A number is rational if and only if its decimal representation is repeating or terminating (i.e.…

Q: 2) The Venn diagram shows how real numbers, rational numbers, irrational numbers, integers, and…

A: Venn Diagram: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation…

Q: Prove that for any 9 consecutive natural numbers, there exists one number that is prime to the other…

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Q: Determine the smallest integer that can be expressed as a sum of two primes in three different ways

A: Let us have smallest prime numbers  are, 2,3,5,7,11,13 17,19.....

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: noosing a positive integer from 100 to 999, what is the poSSibility of choosing a positive integer…

A:

Q: Show that 2 + V5 is imational number

A:

Q: Determine the probability that the randomly selected number from the interval [0,1] is a rational…

A: To Determine: The probability that the randomly selected number from the interval [0,1] is a…

Q: Express 3.927927927... as a rational number, in the form p/q where p and q have no common factors.…

A: Calculation: The number 3.927927927... can be expressed as, 3.927927927... =3+0.927927927...  Now…

Q: USE THE TYPING TOOL TO TYPE AN "X" IN ANY COLUMN THAT CORRECTLY CLASSIFIES THE GIVEN VALUE IN THE…

A:

Q: Show that — ф+1 n=0 ||

A: Given φ is the golden ration satisfying 1φ=φ-1. To prove ∑n=0∞1φn=φ+1 It is known that φ=1+52.

Q: How many positive integers less than 28716 are a) divisible by 4? b) divisible by 5? c) divisible…

A:

Q: Why do these rational numbers have terminating decimal? 1/30, 1/32, 1/40, and 3/60.

A: The number is said to be terminating if its denominator is in form of 2x5y. Simplify each number and…

Q: Express 4.927927927.. . as a rational number, in the form P where p and q have no common factors. p…

A: Explanation of the answer is as follows

Q: Complete the following table to convert the given decimal number to the given base. Note enter…

A: Given,

Q: Prove that a four-digit number is a multiple of 8 whenever the number formed by the first three…

A: The solution is given by using the expanded form of number as follows

Q: 3.) An airplane takes off and then climbs 2600 feet. After 25 minutes, it descends 150 feet. What is…

A: Please note that as per our guidelines if multiple questions are posted, we can answer the first…

Q: How many positive integers not exceeding 3000 are divisible by exactly two of 4, 10, 12? (Steps…

A:

Q: Suppose that a superball dropped from a height of 36 ft always rebounds of the distance fallen.…

A: Given that  Super ball dropped from height h = 36 ft Rebound height = 1/4 of fallen To find total…

Q: Any rational number has a reduced form For example 12/70, 18/105, 600/3500 all represent the same…

A: According to the given information, it is required to write the characteristics of numerator and…

Q: Find a rational number that is bigger than 3.14159 but smaller than 3.14159001

A: To find a rational number between to given number.

Q: Express 3.81818... as a rational number, in the form p/q where p and q are positive integers with no…

A:

Q: Determine whether the number is rational or irrational. 3.789778977789.. Is 3.789778977789...…

A: The given number is: 3.789778977789...

Q: Determine the possibilities for the final digit of a sixth power of an integer.

A: The last digits of a number are 0,1,2,3,4,5,6,7,8 and 9. The number 0 raised to any number will be 0…

Q: bers Euclid (born approx. 300 BCE) discovered that the first four perfect numbers are generated by…

A: As per our guidelines we are supposed to answer only first three subparts of the question. For the…

Q: Express 7.54545.. . as a rational number, in the form where p and q are positive integers with no…

A:

Q: Determine the smallest integer that can be expressed as a sum of two primes in three different ways.

A: The number is 22 and all others smallest integer can not be written as sum of two primes in three…

Q: Draw a number line on which adjacent tick marks are 0.1 unit apart and on which 0.003 can be plotted…

A:

Q: Classify each number by placing an X in any of the boxes that apply Number Natural  Whole Integer…

A: Consider the given numbers:

Q: ind the number of ways to choose k children from a group of n children arranged in a circle so that…

A: Consider the given: Let n and k be positive integers with . Choose the number of ways in which k…

Q: Fermat's theorem is true for only prime number. إختر واحداً.

A:

Q: How many twin primes are there where both primes are less than or equal to 31? Number of twin…

A: Twin prime: If there is only one composite number between two prime numbers, then that two numbers…

Q: Let S be the set of all rational numbers that can be expressed as a repeating decimal in the form…

A:

Q: How to find 27th prime number  using Formula's

A:

Q: How many corresponding integers are made up of 1443 digits taken from (1-2-3-4-5-6) provided that no…

A:

Q: Fermat's theorem is not true for some prime number. اختر واحد

A: False

Q: algorithm to determine the decimal number answer to 2893 ÷ 6 to the hundredths place. b. Interpret…

A: Solution of the problem as follows

Q: Consider all positive integers with seven different digits. (Note that zero cannot be the first…

A: Given that we have to find all positive integers with seven different digits which satisfy the given…

Q: How many four-digit positive integers both start and end in even digits:

A: We need to find the number of positive integers both start and end in even digits.