Question - Solving an Arithmetic Expression with Negative Numbers
Solution:
The expression in the image is:\[ 9 + (-4) \times (-3)^2 \]To solve this expression, we need to follow the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), doing operations in this order.First, we handle the exponent:\[ (-3)^2 = (-3) \times (-3) = 9 \]Now the expression is:\[ 9 + (-4) \times 9 \]Next, we do the multiplication:\[ (-4) \times 9 = -36 \]Now the expression is:\[ 9 + (-36) \]Finally, perform the addition:\[ 9 + (-36) = 9 - 36 = -27 \]So the result of the expression is $$-27$$.
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