1.3 /73.814
In significant digit notation, divid, and the answer to two significant digits. I will be happy to critique your work.
To divide 1.3 by 73.814 and express the answer in significant digit notation with two significant digits, follow these steps:
Step 1: Perform the division:
1.3 ÷ 73.814 ≈ 0.017604492
Step 2: Determine the number of significant digits:
In this case, the smallest number of significant digits among the numbers being divided is two. Both 1.3 and 73.814 have two significant digits.
Step 3: Round the result to the appropriate number of significant digits:
Since we are aiming for two significant digits in the quotient, we need to round the result to two significant digits.
To do this, we consider the third significant digit (4) and apply the rounding rule:
- If the third digit is 5 or greater, the second significant digit is increased by 1.
- If the third digit is less than 5, the second significant digit remains unchanged.
In this case, the third digit is 4, which is less than 5. Therefore, the second significant digit (1) remains unchanged.
Thus, the final result, in significant digit notation with two significant digits, is approximately 0.017.
I hope this explanation helps! If you have any further questions or if you would like me to clarify anything, please let me know.