Explain why the sum, the difference, and the product of two rational numbers are rational numbers. Is the product of two irrational numbers necessarily irrational? What about the sum?

Q: Please explain the addition property of equality with fractions

A: The additive property of equality says what we add to one side of the equality, we must add the same…

Q: Explain why in any digraph, the sum of all the in-degrees must equal the sum of the out-degrees.

A: To prove, the sum of all the in-degrees must equal to the sum of all out-degrees. In-degree of a…

Q: How to explain rational numbers, irrational numbers, and how they are different?

A: To explain: (i) Rational number. (ii) Irrational number. (iii) Difference between rational number…

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: Describe the rational numbers.

A: Rational Numbers

Q: What is the absolute value of 3 tenths?

A: What is the absolute value of 3 tenths?

Q: Describe the difference between a rational number and an irrational number.

A: Rational number:                   A rational numbers can be defined as any numberthat can be…

Q: Is 0 a real number?Justify

A: Yes, 0 is a real number. By definition, the real numbers consist of all of the numbers that make up…

Q: triangle

A:

Q: The sum of 5th and 9th terms of an AP is 72 and the sum of 7th and 12th term is 97.find the AP

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Q: why is the sum of -8 and 2 negative but the sum of 8 and -2 is positive

A: Sum of two numbers with a positive number and another one is negative number is negative, if the…

Q: Is the product of 2 and 8 rational or irrational? Explain. HTML Edi

A: Product of 2 and 8 2×8=16=4

Q: I am thinking of a number that has a remainder of 16 when divided by 65. What is one possibility for…

A:

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: can you help me with rational numbers on the number line

A:

Q: Find the sum of 2√5 and 3√16 in simplest form. Also, determine whether the result is rational or…

A: Given,         The sum of 25 and 316.

Q: According to the U.S. Mint, the diameter of a quarter is 0.955 inches. The circumference of the…

A:

Q: What conclusion can I make about the sum of two rational numbers?

A: Given : Sum of two rational numbers.

Q: Is the product of and V8 rational or irrational? Explain.

A:

Q: A rational expression whose numerator or denominator or both contains rational expressions is called…

A: A rational expression is the quotient of two polynomials. The numerator and denominator both are…

Q: What are the rational numbers?

A: we have to define the rational number.

Q: За +9 с. 8x2 -50 x+4 8x2 – 50

A:

Q: what do you do to check if a number is rational or irrational? In your explanation, use an example…

A: Rational numbers : These are the numbers which can be expressed in the form of fraction as pq form…

Q: is -4√16 rational or irational

A: Irrational number are those number which can not be represented in the form of fraction and rational…

Q: negative numbers

A: Product of two negative number is a positive number. Any positive number always greater than any…

Q: to divi

A: Introduction: Complex fractions: In both the denominator and the numerator, create a single…

Q: how do i order rational and irrational numbers

A:

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: 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: One integer is four times another. The sum of the integers is 5. What isthe value of the lesser…

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Q: What is the sum of all positive integer multiples of 5 less than 1000? In other words, what is the…

A: We solve the problem by following step.

Q: How do you rewrite an expression into cxn form, where c is a constant and n is a rational number?

A:

Q: Explain how the sets of numbers (counting, whole, integer, rational, irrationals, reals

A: Concept:   A branch of mathematics which deals with symbols and the rules for manipulating those…

Q: In an AP the first term is 8 , nth term is 33 and the sum of first n terms is 123. Find n and the…

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Q: Is the quotient of 4 divided by -8 a rational number?

A: topic - rational numbers rational number is a number that can be written in the form of p/q and q is…

Q: The sum of three consectutive integers is 108. What are the integers?

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Q: Explain why the sum of a rational number and an irrational number must be irrational.

A: Explain why the sum of a rational number and an irrational number must be irrational.

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: The first term and the last term of an AP are17 and 350 respectively.If the common difference is…

A:

Q: A boy imagined five positive integer numbers and told his friend that the sums of four out of tive…

A: Let the five integers are a, b, c, d, e   Given that the sum of four out of given integers are 186,…

Q: Suppose that your friend missed class the day the material in this section was discussed. How could…

A: To make  her understand  about multiplication and division of rational expressions.

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: Explain how to add rational expressions that have different denominators. Use + x + 4 in your x + 1…

A: Given: 5x+1+3x+4

Q: Which diagram best represents the relationship among integers, rational numbers, and whole numbers?

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Q: The product of four different positive integers is 130. What is their sum CHALUENGE YOUR MIND

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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: What is true about the sign of the difference when a positive integer is subtracted from a negative…

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Q: What number is the opposite of the number 5? What can you say about the opposite of the opposite of…

A: As if 'a' is any real number then opposite of 'a' is given by -a.

Statements and Logic

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