88. DISCUSS: Sums and Products of Rational and Irrational Numbers 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: 4. Which statement is not always true? The sum of two rational numbers is 1) rational. The sum of a…

A: Let us take two numbers5 and 2 Now 5 is irrational and 2 is also irrational .

Q: 5. How is -28 can be express as rational number with numerated the number 4? 84

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Q: II II ... Is the 30 a rational or irrational number? E B.

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

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Q: 2. Mark made a mistake in his checkbook. He wrote a check for $60.99 to pay his phone bill but…

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Q: For each sum or product, determine whether the result is a rational number or an irrational number.…

A: Consider

Q: 10) Which number can be added to a rational number to explain that the sum of rational number and a…

A: Here we can answer both the questions as below for your reference.

Q: 9. When a rational algebraic expression is subtracted from other rational algebraic expression? --10…

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Q: Answer all the questions: What are Real numbers?__________________ What method you use to find the…

A: Topic :- Algebra

Q: Part A. Ranional & Irational Numbers 1. For each number, state if the number is rational or…

A: Kindly keep a note in step 1️⃣ stating that as per our guidelines we are supposed to answer only 1️⃣…

Q: For each sum or product, determine whether the result is a rational number or an irrational number.…

A: As per guideline we will only solve question number a,b and c in the following step. If you want…

Q: n 16 1 out of 2 points Decide if the following rational number can be written as a terminating…

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Q: 2. In each problem, show three examples and make a correct conjecture. a) Describe the product of…

A: We have to make correct Conjecture of given three question

Q: Which statement is NOT true about rational numbers? a. Whole numbers are rational numbers. b. Only…

A: Statements are given using numbers, we have to find correct and incorrect statements.

Q: Use deductive reasoning to show the procedure: Pick a number. Add 3 to the number and multiply the…

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Q: Which rational numbers fall between 2.7 and 2.8 on a number line? 11 41 50 19 277 B 25 E 100 21 © 8…

A: We have to find which of the following rational numbers falls between 2.7 and 2.8 that is which…

Q: #37.  What’s the first two step to solving this ? I am stuck , 20 is the lcd for the the three…

A: Given equation,

Q: 3. The numerator of a fraction exceeds the denominator by 1. If 7 is added to the numerator and 2 to…

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Q: Find the sum of 3/2 and 2/8 in simplest form. Also, determine whether the result is rational or…

A: The two numbers are 32  and 28 To evaluate: The sum of the number and identify the result as…

Q: I think this is considerded an Algebra question, reads , Plot the following rational numbers on the…

A: To plot the rational numbers on the number line.

Q: 3) Which diagram best represents the relationship among integers, rational numbers, and w numbers?…

A: As we know thatset of integer is ℤset of rational numbers is ℚset of whole numbers is ℕ∪0

Q: What kind of number is the number e? It's an irrational number, meaning it cannot be written as a…

A: Rational number: the numbers which can be written in the form of fraction they are known as rational…

Q: 17) Use inductive reasoning to conjecture the rule that relates the number you selected to the final…

A: Use the inductive reasoning and form a conjecture: Let us choose the numbers 2, 10, 23 and 45 and…

Q: Numbers Rational irrational 2 V5 V81 1

A: Rational number is of the form p/q, where q is not equal to zero and p and q are integers.…

Q: 36.) Which set of numbers best describes the number -4? a. whole numbers b. integers c. rationals…

A: Consider the given number -4 The best describe set of number is integers.

Q: Use inductive reasoning to conjecture the rule that relates the number you selected to the final…

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Q: 1. Vocabulary Describe the relative locations of the rational numbers -(-) and on a number line.…

A: Here,      -(-a/b) = a/b   [negation of negation is positive]

Q: What is the difference between rational numbers and irrational numbers? (give an example)

A: Difference between rational and irrartional numbers.

Q: rational irrational -/26 -89.7 66. 82

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Q: 1) Give an example of a rational number AND an irrational number.       What is the difference…

A: (a) A rational number is of the form pq where p and q are integers where q≠0. The numbers that…

Q: 52. Write About It What are the effects of multiplying and dividing a positive rational number by a…

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Q: Determine whether the number is rational or irrational. 4 4 Is - rational or irrational? 5…

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Q: How do I find the domain of fractions?Here is my current problem I'm having trouble…

A: Given,

Q: Calculatrs 2. Find 3 rational number between and Put in fractional form. (A number line may help.) 4…

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Q: In calculus in freaking important to write an expression in the form cx^n, where c is constant and n…

A: Given   -8/5^4√x^3

Q: In your own words clearly distinguish and differentiate between rational numbers and irrational…

A: Rational numbers and Irrational numbers are part of real numbers, in fact we can divide real numbers…

Q: Use inductive reasoning to conjecture the rule that relates the number you selected to the final…

A: Note: Hey there! Thank you for the question. For the first part of the question, that is, for the…

Q: _2. How would be classified? A. Rational and real numbers B. Whole and integer C. Real number D.…

A: Defination :-  Real number : All numbers are real  Rational number:- Terminating or repeating…

Q: An apple pie of 2.3 pounds serves 6 people. If you could increase the weight by an additional 7…

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: Write two rational and three irrational numbers that are between 3 and 4 with explanation.

A: Rational numbers: The rational numbers are the numbers which can be expressed in p/q form, where p,…

Q: How do I find the least common denominatior of 3 fractions that have the term x? For example, when…

A: Given,

Q: 6 Write a sum, difference, product, and quotient whose answers could all have an estimate of about…

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Q: 2. Which statement is not always true? The product of two irrational 1) numbers is irrational. The…

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Q: Circle the irrational number and explain what makes it irrational. (a) 43/2 (b) 3-2 (c) 31/2 (d)…

A: Given, (a) 43/2 (b) 3-2 (c) 31/2 (d) 9-1/2 we have to identify the irrational number

Q: 32) Use inductive reasoning to conjecture the rule that relates the number you selected to the final…

A: Inductive reason: The following table shows the step-by-step procedure applied to each of the four…

Q: 4. In which section of the diagram does 15 belong? 3. the number Rational numbers Integers Whole…

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