Question

For Exercises $1-74,$ simplify. $$(-15+12)+5(-6)-[9-(-12)] \div 3$$

   For Exercises $1-74,$ simplify.
$$(-15+12)+5(-6)-[9-(-12)] \div 3$$

Prealgebra

Tom Carson 4th Edition

Chapter 2, Problem 51

Instant Answer

Solved by Expert Yingtai Xiao

05/16/2020

Step 1

We have $(-15+12)$, $5(-6)$, and $[9-(-12)]$. So, we get $-3$, $-30$, and $21$ respectively. Show more…

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For Exercises $1-74,$ simplify. $$(-15+12)+5(-6)-[9-(-12)] \div 3$$

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Key Concepts

Order of Operations

This concept refers to the hierarchical sequence in which mathematical operations must be performed to accurately simplify expressions. The standard order—parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right)—ensures consistent results across various problems.

Arithmetic with Integers

This involves performing addition, subtraction, multiplication, and division with positive and negative numbers. Mastery of integer arithmetic is essential as it requires special attention to signs, particularly when negative numbers are involved.

Grouping Symbols

Grouping symbols such as parentheses and brackets indicate which parts of an expression should be evaluated first. They play a critical role in clarifying the structure of an expression and in maintaining the proper order during simplification.

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