Solve: a ) \( 150 \times(30+120) \)

To solve the expression, first simplify inside the parentheses: \( 30 + 120 = 150 \). Now, multiply: \( 150 \times 150 \). The result is \( 22,500 \). So, \( 150 \times(30+120) = 22,500 \). Did you know? The order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right), helps you tackle complex mathematical problems accurately and efficiently! If you ever find yourself stuck with multiplication or large numbers, consider breaking them down into smaller, more manageable parts! For instance, instead of multiplying \( 150 \times 150 \) directly, you could think of it as \( (100 + 50) \times (100 + 50) \), which can make calculations a lot easier while also neatly demonstrating the distributive property!