Real examples of rational numbers - com/courses/83799/assignments/3778431?module_item_id=9555041 Sunday by 11:59pm Points 100 Submitting an external tool Which of the following are rational numbers? Select all correct answers. Select all that apply: \( \sqrt{12} \) \( 0.3838838883 \ldots \) \( -1 \) \( \frac{5}{4} \) 7.4815 \( 0.6565565556 \ldots \) - Previous Search
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- A rational number is any number that can be expressed as the quotient or fraction \( \frac{p}{q} \) of two integers, where \( p \) and \( q \) are integers and \( q \neq 0 \). Show more…
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pick up the rational numbers from the following numbers:- 6/7, -1/2, 0, 1/10, 10/00
Amine Y.
CHAPTER 1: NUMBER SYSTEM 1. Rational number 3/40 is equal to: (a) 0.75 (b) 0.12 (c) 0.012 (d) 0.075 2. A rational number between 3 and 4 is: (a) 3/2 (b) 4/3 (c) 7/2 (d) 7/4 3. A rational number between 3/5 and 4/5 is: (a) 7/5 (b) 7/10 (c) 3/10 (d) 4/10 4. A rational number between 1/2 and 3/4 is: (a) 2/5 (b) 5/8 (c) 4/3 (d) 1/4 5. Which one of the following is not a rational number: (a) −2 (b) 0 (c) −4 (d) −-16 6. Which one of the following is an irrational number: (a) −4 (b) 3−8 (c) −100 (d) −-0.64 7. Decimal representation of 1/5 is : (a) 0.2 (b) 0.5 (c) 0.02 (d) 0.002 8. 3 3/8 in decimal form is: (a) 3.35 (b) 3.375 (c) 33.75 (d) 337.5 9. 5/6 in the decimal form is: (a) 0.83 (b) 0.833 (c) 0.63 (d) 0.633 10. Decimal representation of rational number 8/27 is: (a) 0.296 (b) 0.296 (c) 0.296 (d) 0.296
Keondre P.
11. Let T be the statement: The sum of any two rational numbers is rational. Then T is true but the following "proof" is incorrect Find the mistake. "Proof by contradiction: Suppose not. That is suppose that the sum of any two rational numbers is not rational: This means that no matter what two rational numbers are chosen their sum is not rational: Now both 1 and 3 are rational because 1=1/1 and 3 = 3/1 and so both are ratios of integers with nonzero denominator: Hence, by supposition; the sum of 1 and 3 which is 4 is not rational: But 4 is rational because 4 = 4/1 which is ratio of integers with nonzero denominator: Hence 4 is both rational and not rational, which is contradiction. This contradiction shows that the supposition is false , and hence statement T is true." 12. Let R be the statement: The square root of any irrational number is irrational. a. Write a negation for R. b. Prove R by contradiction. 13. Let S be the statement: The product of any irrational number and any nonzero rational number is irrational. a. Write a negation for S. b. Prove S by contradiction.
Benjamin D.
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