7. What is the value of the expression below? \[ 28+87 \div 3 \cdot 2^{3} \] 30
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Let’s break it down a bit! First, we tackle the exponent: \(2^3\) equals \(8\). Now our expression looks like this: \(28 + 87 \div 3 \cdot 8\). Next, we handle the division: \(87 \div 3\) is \(29\). Now our expression simplifies to \(28 + 29 \cdot 8\). Multiplying gives us \(29 \cdot 8 = 232\). Finally, we add \(28 + 232 = 260\). The final value of the expression is \(260\)! Oh, and remember to follow the order of operations (PEMDAS) which is crucial in solving such expressions correctly! It indicates you should handle Parentheses and Exponents first, followed by Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right). Avoid common mistakes by keeping this order in check!