-12÷23 • (-8 +(-4)² -6) + simpfly
just remember the order of operations: PEMDAS
-12÷23 • (-8 +(-4)² -6)
-12÷23 • (-8 +16 -6)
-12÷23 • 2
-24/23
To simplify the expression -12 ÷ 23 • (-8 + (-4)² - 6), we need to follow the order of operations. Here's the step-by-step explanation:
Step 1: Evaluate (-4)²
(-4)² means multiplying -4 by -4. So, (-4)² = 16.
Step 2: Simplify the expression in the parentheses: (-8 + 16 - 6)
First, let's add -8 and 16: -8 + 16 = 8.
Then, subtract 6 from 8: 8 - 6 = 2.
Step 3: Substitute the simplified expression into the main expression:
Now, we have -12 ÷ 23 • 2. When there are no more parentheses, we move on to multiplication and division from left to right.
Step 4: Perform division: -12 ÷ 23
To divide -12 by 23, you simply divide the absolute values and keep the negative sign: -12 ÷ 23 ≈ -0.5217 (rounded to four decimal places).
Step 5: Perform multiplication: -0.5217 • 2
To multiply -0.5217 by 2, you multiply the absolute values and keep the negative sign: -0.5217 • 2 ≈ -1.0434 (rounded to four decimal places).
Therefore, the simplified expression -12 ÷ 23 • (-8 + (-4)² - 6) becomes approximately -1.0434.