Evaluate the following.
$3 \times 5+9+25 \div 5$
Answer (2)
First, perform the multiplication: 3 × 5 = 15 .
Next, perform the division: 25 ÷ 5 = 5 .
Then, add the results and the remaining term: 15 + 9 + 5 .
The final result is: 29 .
Explanation
Understanding the Expression We need to evaluate the expression 3 × 5 + 9 + 25 × 5 . To do this, we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Multiplication and division are performed before addition.
Multiplication First, we perform the multiplication: 3 × 5 = 15 .
Division Next, we perform the division: 25 × 5 = 5 .
Addition Now, we add all the terms together: 15 + 9 + 5 = 29 .
Examples
Understanding the order of operations is crucial in many real-life scenarios, such as calculating expenses or figuring out a budget. For example, if you buy 3 items that cost $5 each, plus a book for $9, and you split a $25 bill with 5 friends, the expression 3 × 5 + 9 + 25 ÷ 5 helps you calculate your total expenses. This concept is also used in more complex calculations in finance, engineering, and computer science.
To evaluate 3 × 5 + 9 + 25 ÷ 5 , we follow the order of operations: first perform multiplication and division, then addition. The calculations give us 3 × 5 = 15 , 25 ÷ 5 = 5 , and finally adding these results gives 15 + 9 + 5 = 29 . Thus, the final answer is 29 .
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