To divide (1.95 x 10^6) by (3.2 x 10^4), we can divide the numbers and subtract the exponents:
(1.95 / 3.2) x 10^(6-4)
= 0.609375 x 10^2
= 6.09375 x 10^1
use 3.2x10^4 and 1.95 x 10^6 for steps a,b,c,d. Answers MUST be in correct scientific notation. show work
d. Divide 1.95 x 10^6 and 3.2 x 10^4
3 answers
explain
To divide 1.95 x 10^6 by 3.2 x 10^4, we can start by dividing the coefficients (the numbers in front of the powers of 10). In this case, 1.95 divided by 3.2 is approximately 0.609375.
Next, we have to consider the powers of 10. When dividing powers of 10 with the same base, we subtract the exponents. Here, 10^6 divided by 10^4 is equal to 10^(6-4) which simplifies to 10^2.
Finally, we combine the results from the coefficient division and the exponent subtraction to get the final answer in scientific notation. The coefficient is 0.609375 and the exponent is 2. Therefore, the result of dividing 1.95 x 10^6 by 3.2 x 10^4 can be written as 0.609375 x 10^2 in scientific notation.
Next, we have to consider the powers of 10. When dividing powers of 10 with the same base, we subtract the exponents. Here, 10^6 divided by 10^4 is equal to 10^(6-4) which simplifies to 10^2.
Finally, we combine the results from the coefficient division and the exponent subtraction to get the final answer in scientific notation. The coefficient is 0.609375 and the exponent is 2. Therefore, the result of dividing 1.95 x 10^6 by 3.2 x 10^4 can be written as 0.609375 x 10^2 in scientific notation.
8 answers