Chapter 1 - Introduction to Algebraic Expressions - Review Exercises: Chapter 1 - Page 77: 74

$-2.1$

Using the order of operations and the definition of absolute value, the given expression, $ (|2.7-3|+3^2-|-3|)\div(-3) ,$ is equivalent to \begin{array}{l}\require{cancel} (|2.7-3|+3^2-|-3|)\div(-3) \\\\= (|2.7-3|+9-|-3|)\div(-3) \\\\= (|-0.3|+9-|-3|)\div(-3) \\\\= (0.3+9-(3))\div(-3) \\\\= (0.3+9-3)\div(-3) \\\\= (6.3)\div(-3) \\\\= -2.1 .\end{array}