By Muratov M.A.

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A composite number is divisible by 3 or more numbers. For example, 25 is a composite number because it’s divisible by 1, 5, and 25. ✓ The number 1 is the only number that is neither prime nor composite. 36 Part I: The Questions Determining Divisibility 182. Which of the following numbers are divisible by 3? 181–200 181. Which of the following numbers are divisible by 2? 100,111 Chapter 6: Divided We Stand 183. Which of the following numbers are divisi- 184. 505,009 ble by 4? ble by 5? 37 38 Part I: The Questions 185.

12,345,678 ble by 11? ble by 12? Chapter 6: Divided We Stand 191. What’s the greatest power of 10 that’s a factor of 87,000? 192. What’s the greatest power of 10 that’s a factor of 9,200,000? 197. The number 6,915 is divisible by which numbers from 2 to 6, inclusive? ) 198. ) Using that information, what is the remainder when you divide ? 193. What’s the greatest power of 10 that’s a factor of 30,940,050? 199. You know that the number 612 is divisible 194. The number 78 is divisible by which num- by 9 (because 6 + 1 + 2 = 9).

143. 138. 144. 139. 140. 27 28 Part I: The Questions Chapter 5 Big Four Word Problems W ord problems provide an opportunity for you to apply your math skills to real-world situations. In this chapter, all the problems can be solved using the Big Four operations (adding, subtracting, multiplying, and dividing). The Problems You’ll Work On The problems in this chapter fall into three basic categories, based on their difficulty: ✓ Basic word problems where you need to perform a single operation ✓ Intermediate word problems where you need to use two different operations ✓ Tricky word problems that require several different operations and more difficult calculations What to Watch Out For Here are a few tips for getting the right answer to word problems: ✓ Read each problem carefully to make sure you understand what it’s asking.

### *-algebras of unbounded operators affiliated with a von Neumann algebra by Muratov M.A.

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