Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 1 - Foundations for Algebra - 1-7 The Distributive Property - Practice and Problem-Solving Exercises - Page 52: 84



Work Step by Step

I would not prefer to use the Distributive Property instead because when you use the order of operations (PEMDAS), the first step is to take care of what's in the parentheses, in this case, perform 39-3. So 11(39-3)=11(36) and then you simply multiply 11 by 36 to get 396. In other words, we only had to perform two mathematical operations, subtraction once, and multiplication once. Whereas if we used the distributive property, which says that a(b-c)=ab-ac, so 11(39-3)=(11)(39)-(11)(3)=429-33=396. In this case we perform three mathematical operations, multiplication twice, and subtraction once. Therefore, I wouldn't prefer to use the Distributive Property.
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