0. [Core content] John, Trey, and Miles want to know how many two- letter secret codes there are that don't have a repeated letter. For example, they want to count BA and AB, but they don't want to count doubles such as ZZ or XX. John says there are 26 + 25 because you don't want to use the same letter twice; that's why the second number is 25. Trey says he thinks it should be times, not plus: 26 - 25. Miles says the number is 26 26- 26 because you need to take away the double letters. Discuss the boys' ideas. Which answers are correct, which are not, and why? Explain your answers clearly and

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.4: Least Common Denominators
Problem 13E
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ONLY NUMBER 10
10:04 PM Mon Oct 31
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6. Write a Multiplicative Comparison word problem for 6-8 = ? Explain
clearly why the problem can be solved by multiplying 6-8 by using
the definition of multiplication in this section.
7. a. Write a Multiplicative Comparison word problem for 3 · 5 = ?
b. Draw a strip diagram for your problem in part (a) and explain how
this section's definition of multiplication applies to solve the
problem.
c. Reword your problem in part (a) so that it is about the same
situation but you use the fraction in the statement of the
problem.
8. Write a Multiplicative Comparison problem in which you describe
one quantity as 3 times as much as another quantity but that cannot
be solved by multiplying the numbers given in the problem.
9. Solve the three problems that are given in the three parts of Practice
Exercise 30. Explain the solutions in detail.
10. [Core content] John, Trey, and Miles want to know how many two-
letter secret codes there are that don't have a repeated letter. For
example, they want to count BA and AB, but they don't want to count
doubles such as ZZ or XX. John says there are 26 + 25 because you
don't want to use the same letter twice; that's why the second
number is 25. Trey says he thinks it should be times, not plus: 26 - 25.
Miles says the number is 26 · 26 – 26 because you need to take away
the double letters. Discuss the boys' ideas. Which answers are
correct, which are not, and why? Explain your answers clearly and
thoroughly, drawing on this section's definition of multiplication.
11. a. A 40-member club will elect a president and then elect a vice
president. How many possible outcomes are there?
b. A 40-member club will elect a pair of copresidents. How many
possible outcomes are there?
c. Are the answers to (a) and (b) the same or different? Explain why
they are the same or why they are different.
64%
Transcribed Image Text:10:04 PM Mon Oct 31 G |||| <O> G O { AA X 6. Write a Multiplicative Comparison word problem for 6-8 = ? Explain clearly why the problem can be solved by multiplying 6-8 by using the definition of multiplication in this section. 7. a. Write a Multiplicative Comparison word problem for 3 · 5 = ? b. Draw a strip diagram for your problem in part (a) and explain how this section's definition of multiplication applies to solve the problem. c. Reword your problem in part (a) so that it is about the same situation but you use the fraction in the statement of the problem. 8. Write a Multiplicative Comparison problem in which you describe one quantity as 3 times as much as another quantity but that cannot be solved by multiplying the numbers given in the problem. 9. Solve the three problems that are given in the three parts of Practice Exercise 30. Explain the solutions in detail. 10. [Core content] John, Trey, and Miles want to know how many two- letter secret codes there are that don't have a repeated letter. For example, they want to count BA and AB, but they don't want to count doubles such as ZZ or XX. John says there are 26 + 25 because you don't want to use the same letter twice; that's why the second number is 25. Trey says he thinks it should be times, not plus: 26 - 25. Miles says the number is 26 · 26 – 26 because you need to take away the double letters. Discuss the boys' ideas. Which answers are correct, which are not, and why? Explain your answers clearly and thoroughly, drawing on this section's definition of multiplication. 11. a. A 40-member club will elect a president and then elect a vice president. How many possible outcomes are there? b. A 40-member club will elect a pair of copresidents. How many possible outcomes are there? c. Are the answers to (a) and (b) the same or different? Explain why they are the same or why they are different. 64%
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