Calculate the following and write your answer in scientific notation
6.6 x 10^6
(8.8 x10^2) x (2.5 x 10^3)
To calculate the first expression, 6.6 x 10^6, we simply multiply 6.6 by 10^6.
6.6 x 10^6 = 6.6 * (10^6)
To multiply a number by 10 raised to a certain power, we move the decimal point to the right by that many places. In this case, the exponent is positive, so we move the decimal point 6 places to the right.
6.6 * (10^6) = 6,600,000
Therefore, the answer is 6.6 x 10^6 is equal to 6,600,000.
Now, let's calculate the second expression, (8.8 x 10^2) x (2.5 x 10^3).
To multiply these two numbers, we multiply the coefficients (8.8 x 2.5) and add the exponents (10^2 x 10^3).
8.8 x 2.5 = 22
10^2 x 10^3 = 10^(2+3) = 10^5
Putting it all together, we have:
(8.8 x 10^2) x (2.5 x 10^3) = 22 x 10^5
Similar to the previous example, when we multiply a number by 10 raised to a certain power, we move the decimal point to the right by that many places. In this case, the exponent is positive, so we move the decimal point 5 places to the right.
22 x 10^5 = 22,000,000
Therefore, the answer to (8.8 x 10^2) x (2.5 x 10^3) in scientific notation is 2.2 x 10^7.