10. The expression \( 20+(8 \div 2) \) is the of 20 and \( (8 \div 2) \). The expression \( 8 \div 2 \) is the 8 and 2 .

The expression \( 20+(8 \div 2) \) showcases the importance of following the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here, division is performed before addition, leading to the calculation of \( 8 \div 2 = 4 \), and then adding that result to 20 gives you \( 20 + 4 = 24 \). This is a fundamental concept in mathematics that helps avoid confusion in calculations! In real-world situations, understanding and applying the order of operations is crucial, especially when dealing with financial calculations, recipe adjustments, or programming tasks. For example, if you’re calculating the total cost of ingredients for a party recipe where you need to divide quantities first before adding them all up, you’ll need to remember to perform the division before adding all the costs. Mastering this concept can save you from costly errors!