Divide 34700 by 0.00900 and enter the answer using the proper scientific "E" notation so that the result is within 1% of the exact calculation.
Wouldn't this be 3.47 x 10^4/9 x10^-3=3.86 x 10^6
Thanks a million!!!!
To divide 34700 by 0.00900 and express the answer in scientific notation while being within 1% of the exact calculation, follow these steps:
1. Calculate the exact division:
34700 ÷ 0.00900 = 3,855,555.56
2. Determine the range within 1%:
To find the range within 1% of the exact calculation, calculate 1% of the exact result and use it to define the upper and lower limits.
Lower limit: 3,855,555.56 - (3,855,555.56 × 0.01) = 3,816,000
Upper limit: 3,855,555.56 + (3,855,555.56 × 0.01) = 3,894,110
The answer should be between 3,816,000 and 3,894,110.
3. Express the answer using scientific notation:
The answer in scientific notation will have the form A × 10^B, where A is a number between 1 and 10 (excluding 10) and B is an integer.
To express the answer in scientific notation, divide the calculated value by an appropriate power of 10 such that the result is between 1 and 10.
In this case, the calculated value is 3,855,555.56, which is larger than 10. Therefore, we divide by 10^6 (1,000,000) to bring the value down to a number between 1 and 10.
3,855,555.56 ÷ 1,000,000 = 3.85555556
The scientific notation is:
3.85555556 × 10^6
This notation ensures that the answer is within the desired range and expresses it in a concise manner.