Suppose you divide a natural number n by a positive rational number less than 1. Will the answer always be less than n, sometimes less than n, or never less than n? Why?

Q: When the numerator and denominator of a rational expression contain no common factors (except 1 and…

A: We have asked in which form  a number is  when the numerator and denominator of that number…

Q: If the first term of an AP is -10 and the common difference is 2 At which term will the value equal…

A: an = a + (n-1)d  Here a =-10. , d = 2 and an = 0  Then find n

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: Does the symbol for infinity (q) represent a real number?

A: Yes, the symbol for infinity (∞) represents a real number.  Infinity (∞) means a very big number.…

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: Explain why every integer is a rational number but not every rational number is an integer.

A: Definition of Integer:ℤ = {0, ±1, ±2, ±3, ...…

Q: Janel says that 0 0=0 since 0 divided by any number is 0. Alan says that 0+0 1 since any number…

A: Given that, Janel says that 0÷0=0 since 0 divided by any number is 0 . Alan says that 0÷0=1 since…

Q: Give an example of a rational number that is not an integer.

A: Every integer is a rational number but every rational number is not an integer.

Q: Show that 3 + V5 is inational number

A: Let 5^1/3 is a rational numbers. So, we can write it as 5^1/3=p/q ………….(I) according to the…

Q: how can i didvide a number that have an x on it for example 3x+5

A: Topic:- algebra  Lets assume (3x+5) divided by 6

Q: Find all ways how to rewrite fraction - as the sum of two fractions with 1 as the numerators and the…

A: 118+19=1+218=318=16 Hence 118 and 19 are two fractions with numerator as 1 and their sum equals to…

Q: Give an example of a number that is a rational number, an integer, and a real number ?

A: An integer is a number that is not in fraction, it can be positive negative or zero. An example of…

Q: state whether the number is rational or irrational 3√-256

A: Given number, Now, we factor 256 such that one of its factors is a perfect cube.

Q: perform the indicated operations involving rational numbers. Express final answers in reduced form.…

A: -59÷103

Q: What are the rational numbers?

A: we have to define the rational number.

Q: What happens is that the product of an unknown number and 10 is added by 3. The result is equal to…

A:

Q: If the 8th term of an AP is 31 and the 15th term is 16 more than th 11th term ,find the AP

A:

Q: The number 3 1/2 falls between what two integers on the number line?

A: The number is given by 312 To evaluate : The two integers between which 312 falls.

Q: When a rational number is being reduced, the form of the numeral is being changed but not the number…

A: it is true because we divide by the same number to the numerator and denominator,hence  number does…

Q: Any n consecutive integers will include a number that is divisible by n.

A:

Q: Answer true or false: When a rational number is being reduced, the form of the numeral is being…

A: We are asked whether the given statement is true or false: When a rational number is being reduced,…

Q: The difference between 0 and a negative integer is always positive?

A: Given data is : The difference between 0 and a negative integer is always positive. Consider a…

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: How can you tell if a decimal is for a rational number? How can you tell if a decimal is an…

A: We will observe the difference.

Q: When the numerator and denominator of a rational expression contain no common factors (except 1 and…

A: When the numerator and denominator of a rational expression contain no common factors (except 1 and…

Q: 7. Decide whether the following would lead a rational or irrational number a. Adding two irrational…

A: a) Adding two irrational numbers: The sum of two irrational numbers, in some cases, will be…

Q: Which integers leave a remainder of 1 when divided by 2 and also leave a remainder of 1 when divided…

A:

Q: When an integer n is divided by 6, the remainder is 5. What are the possible values of the remainder…

A: From the statement, we can say that

Q: Find the rational number represented by the repeated decimal using the 6. formula: 3.325

A: Assume that x=3.325

Q: Name the integers and the rational numbers in the set{ - 3, 0, √2, 6/5, π }.

A: { - 3, 0, √2, 6/5, π }

Q: he difference of two negative Integers Is not necessarlly negative.

A: ¬∀x<0,∀y<0,x-y<0

Q: What is the base of 16? What number times itself will get you to 16? 3.

A: We have to find the base of 16 and What is the number times itself will get you to 16.

Q: from the list 0, 14, 2/3 , π, √7, -11/14 , 2.34, -19, 55/8, -√17, 3.2 ̅1, and -2.6, identify each of…

A: We identify rational  numbers on the list as,

Q: from the list 0, 14, 2/3 , π, √7, -11/14 , 2.34, -19, 55/8, -√17, 3.2 ̅1, and -2.6, identify each of…

A: Consider the list: 0, 14, 23, π, 7, -114, 2.34, -19, 558, -17, 3.21 and -2.6   Here, 3.21 is a…

Q: that if 3 divides the sum of the digits of n, then 3|n

A:

Q: How far did they calculate out before making that decision … 1000 places ….10, 000 places? How many…

A: Given: To explain the given statement as follows,

Q: Find the rational number halfway between the two numbers  9/11 and 2/5

A: Given numbers are 9/11 and 2/5

Q: John found the sum of the first 2021 positive even integers and Bob found the sum of the first 2022…

A: In this question, tne concept of sum of first positive even integers is applied.

Q: how would I put all real numbers as an answer for H

A: Domain is the input that a function can take. So  If you put any value of x in h(x) then you will…

Q: If you subtract 1 - 1 that equals zero. Would 0 have an opposite (-0) or would it just be a neutral…

A:

Q: is 2 a rational number

A:

Q: only rational numbers?

A: ANSWER A  IS CORRECT.

Q: Would the product of a rational and an irrational number be a rational or irrational?

A:

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

A:

Q: How can you Identify between rational and irrational numbers?

A: A rational number is a number that can be expressed as the quotientor fraction p/q of two integers ,…

Q: Reduce the rational number to its lowest terms. 40 45 O 40 45 O 5

A: Topic :- Numbers  Correct option=  8/9