What is the result of evaluating the expression 10 - 4(2 - 3)?

Prepare for the Mathematics ACT Aspire Test with targeted flashcards and multiple choice questions, each with detailed explanations and hints. Master the concepts and succeed in your test!

To evaluate the expression 10 - 4(2 - 3), it is important to 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 parentheses: Inside the parentheses, you have (2 - 3). This simplifies to -1. So now, the expression looks like this: 10 - 4(-1).
  1. Next, perform the multiplication: Calculate 4 times -1. This gives you -4. The expression now updates to: 10 - (-4).

  2. When you subtract a negative number, it is the same as adding its positive counterpart. Thus, 10 - (-4) simplifies to 10 + 4.

  3. Finally, add 10 and 4, which results in 14.

So, the correct result of evaluating the expression 10 - 4(2 - 3) is 14.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy