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Chapter 10: Problem 10

What is the value of the expression $12-\left(\frac{6}{3}-4 \times 3\right)-8 \times 3 ?$ a. -46 b. -30 c. -18 d. -6 e. -2

Short Answer

Expert verified
e. -2

Step by step solution

01

Deal with Nested Elements

Firstly, perform all operations inside parentheses. The inner parentheses \( \frac{6}{3} - 4 \times 3 \) = 2 - 12 results to -10.
02

Substitute the Result Back into the Expression

Substitute the result of the operations inside parentheses back into the given expression. The original expression now looks like this: 12 - (-10) - 8 \times 3.
03

Simplify the Expression

Subtraction of a negative number is like adding a positive number, so 12 - (-10) becomes 12 + 10, giving a result of 22.
04

Perform the Remaing Multiplication

Perform the multiplication 8 \times 3, yielding 24.
05

Perform the Final Subtraction

Subtract the result of the multiplication from the previous result, so 22 - 24 equals -2.
06

Choose the Correct Answer

Finally, matching the result with the options given in the exercise, option e. -2 is the correct answer.

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