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Chapter 2: Problem 4

Use the grouping symbols to help perform the following operations. $$6\\{2[2(10-9)]\\}$$

Short Answer

Expert verified
Answer: The simplified form of the expression is 24.

Step by step solution

01

Identify the innermost grouping symbols

First, we'll look for the innermost grouping symbols, which in this case are the parentheses. We'll start by simplifying the expression inside the parentheses.
02

Simplify the expression inside the parentheses

We see \((10-9)\) inside the parentheses. Subtracting 9 from 10, we get: $$2[2(1)]$$
03

Identify the next set of grouping symbols

Now that the expression inside the parentheses has been simplified, we'll move on to the next set of grouping symbols - the square brackets.
04

Simplify the expression inside the square brackets

We now have \(2[2(1)]\). Multiplying 2 times 1, we get: $$2[2]$$
05

Simplify the expression inside the curly braces

Finally, we can simplify the expression inside the curly braces, which is now \(6\{2[2]\}\). We see that we can further multiply 2 times 2 which results in: $$6\{4\}$$
06

Simplify the entire expression

Now we just need to multiply 6 times the number inside the curly braces (4): $$6\cdot 4 = 24$$ So the simplified expression is: $$24$$

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