what is the simplified form of (3.25 times 10^3)(7.8 times 10^6) written in scientific notation?
2.535 times 10^10
2.535 times 10^18
2.535 times 10^19
25.35 times 10^9
To simplify (3.25 times 10^3)(7.8 times 10^6) in scientific notation, we use the product of the two numbers and add the exponents:
(3.25)(7.8) = 25.35
(10^3)(10^6) = 10^(3+6) = 10^9
Therefore, the simplified form is 25.35 times 10^9.
To find the simplified form of (3.25 times 10^3)(7.8 times 10^6) written in scientific notation, you need to multiply the coefficients and add the exponents.
3.25 times 10^3 multiplied by 7.8 times 10^6 is equal to (3.25 * 7.8) times (10^3 * 10^6).
The coefficient is calculated by multiplying 3.25 by 7.8, which equals 25.35.
The exponent is calculated by adding 3 and 6, which equals 9.
Therefore, the simplified form of (3.25 times 10^3)(7.8 times 10^6) written in scientific notation is 25.35 times 10^9.