Julie is confused about why we multiply by 3 to convert 6 yards to feet. She thinks we should divide by 3 because feet are smaller than yards. a. Make a math drawing to show how yards and feet are related. Take care that your drawing accurately portrays length as a one-dimensional, not a two-dimensional, attribute. Use your drawing and what multiplication means to explain why

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter21: Direct And Inverse Proportions
Section: Chapter Questions
Problem 6A
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1. Julie is confused about why we multiply by 3 to convert 6 yards to feet. She thinks we
should divide by 3 because feet are smaller than yards.
a. Make a math drawing to show how yards and feet are related. Take care that your
drawing accurately portrays length as a one-dimensional, not a two-dimensional,
attribute. Use your drawing and what multiplication means to explain why we
multiply by 3 to convert 6 yards to feet.

b. Discuss the relationship between the size of a unit and the number of units it takes to
describe the length of an object.

c. Try to think of other ways to discuss conversions. What problems or questions could
you pose?

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