a. Evaluate the following. Remember to use the order of operation
16 ٪ (-2) • (-4)
23 + 4
b. Explain the steps taken
a. To evaluate the given expression, 16%(-2) • (-4) + 23 + 4, we need to apply the order of operations. The order of operations states that we should first evaluate the expressions inside parentheses, then the exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
Let's break down the expression step by step:
1. Start by evaluating the expression inside the parentheses: (-2). Since there is no operation between 16% and (-2), we can treat it as multiplication. Therefore, 16%(-2) is equal to 16 * (-2/100) = -0.32.
2. Next, multiply the result (-0.32) by (-4): -0.32 • (-4) = 1.28.
3. Now, move to the addition operations: 23 + 4 = 27.
Therefore, the value of the expression 16%(-2) • (-4) + 23 + 4 is equal to 1.28 + 27 = 28.28.
b. The steps taken to evaluate the expression are as follows:
1. Compute the result of 16%(-2), which involves applying the percentage to (-2).
2. Multiply the result from step 1 by (-4).
3. Add 23 to the result from step 2.
4. Finally, add 4 to the result from step 3.
Following these steps, we obtain the final value of 28.28.