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MATH 115 Week 3 Practice Homework 3:6.1-6.4-6.6- Best Solution Update.Liberty
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_Week 3: Practice HW 3: 6.1โ6.4, 6.6 (Homework) MATH^ 115,^ section^ B10,^ Fall^2018 Instructor: Ethan Smith Current Score : 15 / 15 Due : Monday, September 17 2018 11:57 PM EDT Last Saved : n/a Saving...
1. 0.26/0.26 points | Previous AnswersAufExc4 6.6.028. Determine the number of digits in the given Mersenne prime. 224036583 โ 1 2. 0.26/0.26 points | Previous AnswersAufExc4 6.1.043. 3. 0.26/0.26 points | Previous AnswersAufExc4 6.2.013.MI. Simplify the expansion.
( 7 ร 104 ) + ( 5 ร 103 ) + ( 2 ร 102 ) + (0 ร 101 ) + ( 8 ร 100 )
4. 0.26/0.26 points | Previous AnswersAufExc4 6.2.015. Simplify the expansion. The due date for this assignment is past. Your work can be viewed below, but no changes can be made. Important! Before you view the answer key, decide whether or not you plan to request an extension. Your Instructor may not grant you an extension if you have viewed the answer key. Automatic extensions are not granted if you have viewed the answer key. Request Extension 7,235, Write the Roman numeral as a Hindu-Arabic numeral. VIIIXXIV 8024 75208
( 2 ร 105 ) + ( 5 ร 104 ) + ( 6 ร 103 ) + (0 ร 102 ) + ( 1 ร 101 ) + (0 ร 100 )
8. 0.26/0.26 points | Previous AnswersAufExc4 6.6.025.MI. Determine the number of digits in the given Mersenne prime. 2859433 โ 1 9. 0.26/0.26 points | Previous AnswersAufExc4 6.6.017. Determine whether the Mersenne number is a prime number. 23 โ 1 10. 0.26/0.26 points | Previous AnswersAufExc4 6.1.033. Write the Roman numeral as a Hindu-Arabic numeral. CLXII 11. 0.26/0.26 points | Previous AnswersAufExc4 6.4.017. Find the difference. (^11111) two โ (^1011) two two
Yes No 162
Convert the given numeral to the indicated base. (^1010) two to base five five
13. 0.26/0.26 points | Previous AnswersAufExc4 6.3.011. Convert the given base ten numeral to the indicated base. 261 to base five five 14. 0.26/0.26 points | Previous AnswersAufExc4 6.3.019. Convert the given base ten numeral to the indicated base. 15. 0.26/0.26 points | Previous AnswersAufExc4 6.4.009. Find the sum in the same base as the addends. C48Asixteen + BA8sixteen sixteen 16. 0.26/0.26 points | Previous AnswersAufExc4 6.4.005. Find the sum in the same base as the addends. (^110111) two + (^10001) two two
D
273 to base twelve twelve1a
A theorem known as Fermat's little theorem states, "If n is a prime number and a is any natural number, then an^ โ a is divisible by n ." Determine if Fermat's little theorem holds for the following. (a) n = 7 and a = 6. (b) n = 11 and a = 16.
21. 0.26/0.26 points | Previous AnswersAufExc4 6.3.017. Convert the given base ten numeral to the indicated base. 4020 to base two two 22. 0.26/0.26 points | Previous AnswersAufExc4 6.4.001. Find the sum in the same base as the addends. (^204) five + (^114) five five
Yes, 67 โ 6 is divisible by 7. No, 67 โ 6 is not divisible by 7. Yes, 1611 โ 16 is divisible by 11. No, 1611 โ 16 is not divisible by 11.
Convert the given numeral to base ten. (^76) nine
24. 0.26/0.26 points | Previous AnswersAufExc4 6.1.041.MI. Write the Roman numeral as a Hindu-Arabic numeral. DCCCXL 25. 0.26/0.26 points | Previous AnswersAufExc4 6.1.053.MI. Write the Hindu-Arabic numeral as a Roman numeral. 26. 0.26/0.26 points | Previous AnswersAufExc4 6.6.005. Determine whether the number is perfect, deficient, or abundant. 21
MCCXXVI
perfect deficient abundant
6.2.029. Hindu-Arabic numeral. Write the Hindu-Arabic numeral as a Mayan numeral. 4385
32. 0.26/0.26 points | Previous AnswersAufExc Write the Babylonian numeral as a 33. 0.26/0.26 points | Previous AnswersAufExc4 6.3.009. Convert the given numeral to base ten. D1sixteen
IDCCCLXXXIV IXCMXVIII
VIIICDXVIII IVCLXXXIX
VIICMLXXVIII
Write the Babylonian numeral as a Hindu-Arabic numeral.
35. 0.26/0.26 points | Previous AnswersAufExc4 6.2.006. Write the numeral in its expanded form. 6053
( 6 ร 103 ) + ( 0 ร 102 ) + ( 5 ร 101 ) + ( 3 ร 100 )
36. 0.26/0.26 points | Previous AnswersAufExc4 6.1.060. Write the Hindu-Arabic numeral as 4189 a Roman numeral.
Find the product.
122 four ร 2000 four
40. 0.26/0.26 points | Previous AnswersAufExc4 6.3.031. Use the double-dabble method to convert the given base two numeral to base ten. (^1110010) two 41. 0.26/0.26 points | Previous AnswersAufExc4 6.2.037. Write the Hindu-Arabic numeral as a Babylonian numeral. 42
Write the Roman numeral as a Hindu-Arabic numeral. DCCCL
43. 0.26/0.26 points | Previous AnswersAufExc4 6.3.023. Use expanded forms to convert the given base two numeral to base ten. (^11000) two 44. 0.26/0.26 points | Previous AnswersAufExc4 6.1.013. Write the Egyptian numeral as a Hindu-Arabic numeral. 45. 0.26/0.26 points | Previous AnswersAufExc4 6.4.051. If (^254) x = (^10221) three, find the base x. x =
47. 0.26/0.26 points | Previous AnswersAufExc4 6.1.005.MI.
Write the Hindu-Arabic numeral using Egyptian hieroglyphics. 6387
Consider the addition 386 + 242. (a) Use base ten addition to find the sum. (b) Convert 386 and 242 to base two. 386 = 242 = two two (c) Find the base two sum of the base two numbers you found in part (b). two (d) Convert the base two sum from part (c) to base ten. (e) How does the answer to part (a) compare with the answer to part (d)?
49. 0.26/0.26 points | Previous AnswersAufExc4 6.4.025. Find the product.
2 six ร 152 six
six
The answer to part (d) is equivalent to part (a), only in base two. The answers are the same. They are unequal, and there is no relationship between the answers. The answer in part (d) is twice that of part (a). The answer in part (d) is half that of part (a).
55. 0.26/0.26 points | Previous AnswersAufExc4 6.3.007.MI. Convert the given numeral to base ten. (^32111) four 56. 0.26/0.26 points | Previous AnswersAufExc4 6.2.047. Find the sum of the Babylonian numerals. Write the answer as a Babylonian numeral. +
Write the Hindu-Arabic numeral as a Mayan numeral. 177
