-12+2(4)exponent 2÷2
To solve this expression, let's follow the order of operations (PEMDAS acronym):
1. First, perform the operation inside the parentheses:
-12 + 2(4)² ÷ 2
-12 + 2(16) ÷ 2
2. Next, perform the exponent:
-12 + 2(16) ÷ 2
-12 + 2(256) ÷ 2
3. Then, perform the multiplication:
-12 + 2(256) ÷ 2
-12 + 512 ÷ 2
4. Continue with the division:
-12 + 512 ÷ 2
-12 + 256
5. Finally, perform the addition:
-12 + 256 = 244
Therefore, -12 + 2(4)² ÷ 2 = 244.
To solve the expression -12 + 2(4)^2 ÷ 2 step-by-step, you follow the order of operations, which is usually remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction):
Step 1: Solve inside the parentheses and exponents:
-12 + 2(16) ÷ 2
Step 2: Perform multiplication and division from left to right:
-12 + 32 ÷ 2
Step 3: Evaluate the division:
-12 + 16
Step 4: Perform addition and subtraction from left to right:
-12 + 16 = 4
Therefore, the value of the expression -12 + 2(4)^2 ÷ 2 is 4.
To solve this expression, we need to follow the order of operations, which states performing calculations in a specific order: parentheses or brackets, exponents or powers, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Let's break it down step by step:
Step 1: Address the parentheses
In the given expression, there are no parentheses, so we can move to the next step.
Step 2: Exponents
Next, we have an exponent, denoted by the "^" symbol, and in this case, we have 2 as the exponent. To calculate 4 squared, we multiply 4 by itself:
4^2 = 4 * 4 = 16
Now our expression looks like this: -12 + 2 * 16 ÷ 2
Step 3: Multiplication and Division
Continuing with the order of operations, we have multiplication and division. In this case, we have multiplication first. Multiply 2 by 16:
2 * 16 = 32
Now our expression simplifies to: -12 + 32 ÷ 2
Next, we perform the division. Divide 32 by 2:
32 ÷ 2 = 16
The expression is now simplified to: -12 + 16
Step 4: Addition and Subtraction
Finally, we have addition and subtraction. In this case, we have -12 as our starting value. Add -12 and 16:
-12 + 16 = 4
Therefore, the final answer to the expression -12 + 2(4)^2 ÷2 is 4.