Mathematics through paper folding by Alton T. Olson

Author:Alton T. Olson [Olson, Alton T.]
Language: eng
Format: epub
Tags: General, Geometry, Mathematics, Education, Study & Teaching, Paper work, Curricula
ISBN: 9780873530767
Publisher: National Council of Teachers of Mathematics, 1975.
Published: 1975-06-15T04:00:00+00:00

37. Multiplication and division of a and b

Fold two perpendicular lines, X'X and Y'Y, intersecting at 0. Fold a series of equally spaced points on the two lines. Be sure to include 0 in the points. These folded points will form a coordinate system for the plane of the paper.

Let OU be + 1 . Define OA and OB as directed line segments representing a and b respectively (fig. 37A). Join V to A by folding a line through these two points. Through B fold a line parallel to AU and let P be the point of intersection of this line and X'X. Now OP represents the product of a and b in magnitude and sign. In figure 37A, a was positive and b was negative.

Fig. 37A

Fold a line passing through A and B. Fold a line passing through U

parallel to AB. Let Q be the point of intersection of this line and X'X.

Then OQ represents the quotient a/b in magnitude and sign (fig. 37B).

Fig 37H

21

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.