Calculate the value of 10 - (6 ÷ 2) + 3.

• A. 5
• B. 7
• C. 8
• D. 10

Answer: (B)

To find the value of the expression ( 10 - (6 ÷ 2) + 3 ), we should follow 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)).

1. Start with the operation inside the parentheses: ( 6 ÷ 2 ). This equals ( 3 ).

2. Substitute this result back into the expression: ( 10 - 3 + 3 ).

3. Now perform the subtraction: ( 10 - 3 = 7 ).

4. Finally, add the result to ( 3 ): ( 7 + 3 = 10 ).

So, the final value of the expression is ( 10 ). This result corresponds to the option that directly reflects the calculations performed in the correct order, solidifying the result of the expression as ( 10 ). The correct answer showcases a clear understanding of the operational hierarchy essential for accurately solving problems in mathematics.