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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 .

Ask by Ingram Johnston. in the United States
Jan 23,2025

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

Solución

Sure, let's fill in the blanks for the given expressions: **Problem 10:** "The expression \( 20 + (8 \div 2) \) is the **sum** of 20 and \( (8 \div 2) \). The expression \( 8 \div 2 \) is the **quotient** of 8 and 2." **Explanation:** 1. **Sum:** The expression \( 20 + (8 \div 2) \) involves adding two numbers: 20 and the result of \( 8 \div 2 \). The term "sum" refers to the result of adding these two numbers together. 2. **Quotient:** The expression \( 8 \div 2 \) represents the division of 8 by 2. The result of this division is called the "quotient." So, the completed sentences are: - "The expression \( 20 + (8 \div 2) \) is the **sum** of 20 and \( (8 \div 2) \)." - "The expression \( 8 \div 2 \) is the **quotient** of 8 and 2."

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Beyond the Answer

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!

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