Final answer:
To solve the equation, we use the BODMAS/BIDMAS order of operations. After squaring 1, multiplying 40 by 100, and performing the addition and subtraction, we find that the final answer is -3994.
Step-by-step explanation:
To solve the equation 1 to the second power times 2 plus 4 minus 40 times 100, we need to follow the order of operations, also known as BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).
Firstly, we consider any powers or orders. In this case, we have 1 to the second power, which simplifies to 1, as any number to the power of 2 is that number times itself once.
Next, multiplication and division are addressed from left to right. There is no division, but there is a multiplication: 40 times 100. Using the example given, to multiply 40 by 100, we move the decimal point 2 places to the right, obtaining 4000.
Now we combine these results with the remaining operations of addition and subtraction to solve the equation:
- 12 = 1
- 1 × 2 = 2
- 2 + 4 = 6
- 6 - (40 × 100) = 6 - 4000
- 6 - 4000 = -3994
The final answer to the equation is -3994.