Grade 5: What is 5(3 + 7) / 4?

Question

Here is the question : GRADE 5: WHAT IS 5(3 + 7) / 4?

Option

Here is the option for the question :

• 3
• 12.5
• 18
• 33

And, the answer for the the question is :

12.5

Explanation:

Students in the fifth grade learn how to use the order of operations to solve complex equations.

In Grade 5 mathematics, learning the fundamentals of arithmetic operations is essential for building a strong mathematical foundation. One common problem involves evaluating expressions that involve addition, multiplication, and division. Let’s explore an example where we need to calculate the value of the expression 5(3 + 7) / 4. By applying the order of operations and performing the necessary calculations step by step, we find that the value of the expression is 12.5.

To understand how to evaluate the given expression, we must apply the principles of the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This rule guides us in determining the sequence of operations when evaluating an expression with multiple arithmetic operations.

In the given expression, we encounter parentheses, addition, multiplication, and division. According to the order of operations, we must first simplify the expression within the parentheses before proceeding to the other operations.

Let’s evaluate the expression step by step:

Begin by evaluating the expression within the parentheses: 3 + 7 = 10.

Next, multiply the result of the addition by 5: 5 * 10 = 50.

Finally, divide the product by 4: 50 / 4 = 12.5.

Therefore, the value of the expression 5(3 + 7) / 4 is determined to be 12.5.

Understanding the order of operations is crucial in mathematics as it ensures that expressions are evaluated correctly and consistently. By following the PEMDAS rule, Grade 5 students can solve complex arithmetic problems and avoid errors due to incorrect sequencing of operations.

Moreover, learning arithmetic operations and mastering the order of operations lays the foundation for more advanced mathematical concepts. As students progress in their mathematical journey, they will encounter complex equations, algebraic expressions, and higher-level mathematical operations. The ability to evaluate expressions accurately and efficiently becomes even more critical as they tackle these advanced topics.

In real-world scenarios, arithmetic operations are applied in various fields such as finance, engineering, and science. Understanding how to evaluate expressions correctly enables individuals to perform calculations, solve problems, and make informed decisions.

in Grade 5 mathematics, evaluating expressions is an important skill that involves applying the order of operations. By following the principles of PEMDAS, students can solve arithmetic problems correctly and efficiently. In the example provided, the expression 5(3 + 7) / 4 is evaluated step by step, resulting in a value of 12.5. Mastering arithmetic operations and the order of operations not only strengthens mathematical skills but also lays the groundwork for future mathematical concepts and their real-world applications.

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