By PRENTICE HALL
- Soft-bound, 3-hole-punched to slot in scholars' binders
- 4-color with an enticing Unit Opener, Investigations, log on net codes, ACE Homework, Mathematical Reflections, a Unit undertaking, in retrospect and searching forward, and a word list of phrases in English and Spanish
- Available in English and Spanish
Read Online or Download Connected Mathematics 2: Prime Time / Factors and Multiples PDF
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Extra info for Connected Mathematics 2: Prime Time / Factors and Multiples
Make a conjecture about the answer to this question. Then, describe a strategy you might use to try to find the answer. A famous mathematician, George Polya, wrote a book titled How to Solve It about problem-solving strategies. He suggests that if you can’t solve a problem right away, you might first try to solve a related problem or a simplified version of the problem so that you can look for patterns and strategies to help you. He also suggests drawing pictures. Professor Polya solved some very complicated math problems that way!
B. Describe a pattern you see in your list that you can use to determine whether a large number—such as 1,276,549—is divisible by 5. c. Which numbers in your list are divisible by 2? d. Which numbers in your list are divisible by 10? e. How do the lists in parts (c) and (d) compare? Why does this result make sense? 27. Allie wants to earn some money for a new bike. She tells her dad she will wash the dishes for 2 cents on Monday, for 4 cents on Tuesday, and for 8 cents on Wednesday. If this pattern continued, how much would Allie earn on Thursday?
For example, 30 has 1 3 30, 2 3 15, 3 3 10, 5 3 6, and then he can stop looking, because the factor pairs repeat. For 36, he can stop looking when he gets to 6 3 6. For 66, there are no new factor pairs after 6 3 11. Copy and complete the table below. Is there any pattern that would help him know when to stop looking? Number 16 30 36 40 50 64 66 Last Factor Pair ■ 5ϫ6 6ϫ6 ■ ■ ■ 6 ϫ 11 Many conjectures involving whole numbers seem simple, but are actually very difficult to justify. For example, in 1742, a mathematician named Christian Goldbach conjectured that any even number, except 2, could be written as the sum of two prime numbers.