What is 9.045 times 10 to the power of negative 5 end exponent m to the nearest order of magnitude

The order of magnitude is the power of 10 that represents a number. In this case, the coefficient is approximately 9. Since we are dealing with a negative exponent (-5), we need to divide the coefficient by 10 raised to the absolute value of the exponent. So, 9.045 times 10 to the power of -5 can be simplified as 9.045 / 10^5, which is approximately 0.00009045. Now, to find the nearest order of magnitude, we can round the coefficient to a single-digit value (0.00009045 ≈ 0.0001) and count the number of zeros after that value. In this case, we have four zeros after 1 (0.0001), so the nearest order of magnitude for the given number is 10 to the power of -4. Therefore, 9.045 times 10 to the power of -5, to the nearest order of magnitude, is approximately 10 to the power of -4.