Question

Solve and answer the following. Write your final answer in scientific notation: 2.81 x 10⁸ - 3.6 x 10⁶

A) 2.7739 x 10⁸
B) 2.7744 x 10⁸
C) 2.7734 x 10⁸
D) 2.7748 x 10⁸

Answer 1

To solve 2.81 x 10⁸ - 3.6 x 10⁶, we convert the second term to the same power of ten and subtract, getting 2.774 x 10⁸. The answer options provided do not match this exact calculation.

Step-by-step explanation:

To solve the expression 2.81 x 10⁸ - 3.6 x 10⁶, we need to follow these steps:

1. Rewrite the numbers so that they have the same exponent component for the power of 10. In this case, we will convert 3.6 x 10⁶ to 0.036 x 10⁸ by multiplying 3.6 by 10² (which is 100).
2. Now we have the subtraction 2.81 x 10⁸ - 0.036 x 10⁸, which simplifies to 2.774 x 10⁸.
3. To get our final answer in proper scientific notation, we need the first number to be greater than or equal to 1 but less than 10. Thus, our final answer in scientific notation is 2.774 x 10⁸.

Comparing our options from the multiple choice given:

• A) 2.7739 x 10⁸
• B) 2.7744 x 10⁸
• C) 2.7734 x 10⁸
• D) 2.7748 x 10⁸

We can see that none of these precisely match our calculated answer of 2.774 x 10⁸. There could be a rounding error or typo in the choices provided.