Evaluate. Express your answer in scientific notation.
3.91 x 10^5 x 7.43 x 10^6
To multiply these two numbers in scientific notation, you need to multiply the two coefficients and add the exponents.
(3.91 * 7.43) * (10^5 * 10^6) = 29.0233 * 10^11
Now, we need to express the answer in scientific notation.
29.0233 can be written as 2.90233 x 10^1 (moving the decimal point one place to the left and adjusting the exponent by -1).
Therefore, the final answer is 2.90233 x 10^1 * 10^11 = 2.90233 x 10^(1+11) = 2.90233 x 10^12.
To multiply numbers in scientific notation, you need to multiply the coefficients and add the exponents.
The coefficient of 3.91 x 10^5 is 3.91, and the coefficient of 7.43 x 10^6 is 7.43.
Multiplying these coefficients gives us 3.91 x 7.43 = 29.0213.
The exponents are 5 for 10^5 and 6 for 10^6. Adding these exponents gives us 5 + 6 = 11.
Therefore, the product of 3.91 x 10^5 x 7.43 x 10^6 is 29.0213 x 10^11.
In scientific notation, this can be written as 2.90213 x 10^12.
To evaluate the expression (3.91 x 10^5) x (7.43 x 10^6) and express the answer in scientific notation, we can follow these steps:
1. Multiply the numerical coefficients: 3.91 x 7.43 = 29.0373.
2. Add the exponents of the powers of 10: 10^5 x 10^6 = 10^(5+6) = 10^11.
3. Combine the coefficient and the power of 10: 29.0373 x 10^11.
Therefore, the result is 29.0373 x 10^11 in scientific notation.