Programming with the Multiplicative Inverse

Examples and the Multiplicative Inverse

1 Below, place a checkmark next to each of the examples that you predict will pass when you click "Run".

30 * 1/3 is 10

1/9 * (2 * 4) is 8/9

25 * (1/5) is 5

9/10 is 10/9

1/3 * 2 is 2

2/5 is 2 / (1/5)

(2 * 2) * 1/7 is 4/7

27/20 * 20/27 is 20/20

2 Open the Multiplicative Inverse Starter File and click "Run." Select "Show Details" to the right of examples-block-1. Using the information provided, fill in as many of the blanks as needed below to describe the examples that failed.

Test # failed because

3 Edit each of the failing examples on the left so that all examples pass when you click "Run". Be sure to change only the part of the example after the is! Describe one of the changes you had to make.

Revisiting "Is the Order of Operations Universal?"

4 Below, place a checkmark next to each of the examples that you predict will pass when you click "Run".

((40 * 12) / 2) is (40 * (12 / 2))

((6 / 12) * 3) is (6 / (12 * 3))

((5 * 9) / 15) is (5 * (9 / 15))

((8 / 4) * 25) is (8 / (4 * 25))

((90 * 1) / 2) is (90 * (1 / 2))

5 Open the Multiplicative Inverse Starter File 2 and click "Run". Select "Show Details" to the right of examples-block-1. Using the information provided, fill in as many blanks as needed below to describe the examples that failed.

Test # failed because

6 Notice that all of the examples appear to follow the same pattern in terms of groupings. Why do you think some of the examples passed, but others did not?

These materials were developed partly through support of the National Science Foundation, (awards 1042210, 1535276, 1648684, 1738598, 2031479, and 1501927). Bootstrap by the Bootstrap Community is licensed under a Creative Commons 4.0 Unported License. This license does not grant permission to run training or professional development. Offering training or professional development with materials substantially derived from Bootstrap must be approved in writing by a Bootstrap Director. Permissions beyond the scope of this license, such as to run training, may be available by contacting contact@BootstrapWorld.org.