Understanding How 2 + 2 x 4 Equals 10: A PEMDAS Explanation
Learn why 2 plus 2 times 4 equals 10 by mastering the order of operations with our simple PEMDAS guide.
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2 plus 2 times 4 equals 10 because of the order of operations, known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). According to PEMDAS, you perform multiplication before addition. So, 2 times 4 equals 8, and then adding 2 results in 10.**
FAQs & Answers
- What is the order of operations in math? The order of operations is a set of rules that dictates the correct sequence to evaluate a mathematical expression. It is commonly remembered using the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
- Why is multiplication performed before addition? Multiplication is performed before addition due to the established hierarchy in mathematics known as the order of operations. This hierarchy ensures consistency and clarity in solving mathematical expressions.
- Can you give another example of PEMDAS in action? Certainly! For the expression 3 + 6 × (5 + 4) ÷ 3 - 7, you would first evaluate the parentheses (which gives 9), then perform multiplication and division from left to right, and finally add and subtract from left to right, leading to the final answer.
- What happens if the order of operations is not followed? If the order of operations is not followed, the outcome of a mathematical expression can be incorrect. For example, failing to perform multiplication before addition can lead to a different and inaccurate result.