how do you evaluate this expression 14.6+[(42-21.4)*35]
14.6+[(42-21.4)*35]
14.6 + (20.6 * 35)
14.6 + 721 = ______
14.6 + 20.6 * 35
14.6 + 721
735.6
To evaluate the expression 14.6 + [(42 - 21.4) * 35], you can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Here's the step-by-step process:
1. Start by solving the expression inside the parentheses: (42 - 21.4) equals 20.6.
Therefore, the expression becomes: 14.6 + [20.6 * 35].
2. Next, perform the multiplication: 20.6 * 35 equals 721.
Therefore, the expression becomes: 14.6 + 721.
3. Finally, add the two numbers: 14.6 + 721 equals 735.6.
So, the value of the given expression 14.6 + [(42 - 21.4) * 35] is 735.6.