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4. simplify \\(\\frac{3-4|2(-3)|}{|-3|}\\) 7 9 -9 -7

Question

  1. simplify \\(\frac{3-4|2(-3)|}{|-3|}\\)

7

9

-9

-7

Explanation:

Evaluate the absolute value expressions

Using the Order of Operations and Algebraic Simplification knowledge points

$$ LATEXBLOCK0 $$

Substitute and simplify the numerator

Using the Order of Operations and Algebraic Simplification knowledge points

$$ 3 - 4|2(-3)| = 3 - 4(6) = 3 - 24 = -21 $$

Divide the numerator by the denominator

Using the Order of Operations and Algebraic Simplification knowledge points

$$ \frac{-21}{3} = -7 $$

Answer:

  • 7
  • 9
  • -9
  • -7 (Correct answer)