Question

Simplify:
$11 \times (5 \times (2^2)) \div 8 + 19 - 84$

• A. 125.8
• B. -37.5
• C. -32.9
• D. -28.4

Answer 1

Answer:

B. -37.5

The simplified value of the expression is $-37.5$ (or $-\frac{75}{2}$).

• Innermost parentheses (Exponent): Evaluate $2^2$

  • $2^2 = 4$

  • The expression becomes: $11 \times (5 \times 4) \div 8 + 19 - 84$

• Outer parentheses (Multiplication): Evaluate $(5 \times 4)$

  • $5 \times 4 = 20$

  • The expression becomes: $11 \times 20 \div 8 + 19 - 84$

• Multiplication and Division (from left to right):

  • First, multiply: $11 \times 20 = 220$

  • Next, divide: $220 \div 8 = 27.5$

  • The expression becomes: $27.5 + 19 - 84$

• Addition and Subtraction (from left to right):

  • Add: $27.5 + 19 = 46.5$

  • Subtract: $46.5 - 84 = \mathbf{-37.5}$