11.
(01.07 LC)
What is the value of the expression All of 3.6 multiplied by 10 to the power 8 over all of 1.2 multiplied by 10 to the power 3? (5 points)
2.4 × 105
3.0 × 1011
3.0 × 105
2.4 × 1011
The value of the expression is obtained by dividing the two numbers and subtracting the exponents:
(3.6 × 10^8) / (1.2 × 10^3) = 3.6 / 1.2 × 10^(8-3) = 3 × 10^5
So the answer is 3.0 × 10^5.
To find the value of the given expression, we need to simplify the division of two numbers in scientific notation.
The expression is:
3.6 x 10^8 / 1.2 x 10^3
To divide these two numbers, we subtract the exponents and divide the coefficients.
3.6 / 1.2 = 3
10^8 / 10^3 = 10^(8-3) = 10^5
Therefore, the simplified expression is 3 x 10^5.
So, the correct answer is 3.0 x 10^5.
To find the value of the given expression, we can simplify it by dividing the numbers and combining the exponents. Here is the step-by-step process:
1. Start by dividing the two numeric values: 3.6 ÷ 1.2 = 3.
2. Next, combine the exponents of the powers of 10: 10^8 ÷ 10^3 = 10^(8-3) = 10^5.
3. Now, we have the simplified expression: 3 × 10^5.
The correct answer is option C: 3.0 × 105.