Final answer:
To estimate the value of 297 x 9.44 / 0.503, round the numbers to one significant figure: 297 to 300, 9.44 to 10, and 0.503 to 0.5, then multiply and divide to get the estimated result of 6000.
Step-by-step explanation:
We need to estimate the value of 297 x 9.44 / 0.503. To simplify the calculation, we can round the numbers to one significant figure: 297 becomes 300, and 9.44 becomes 10. The divisor, 0.503, can be rounded to 0.5 for estimation purposes.
Now, let's compute with these rounded figures:
- 300 x 10 = 3000
- 3000 / 0.5 = 6000
Therefore, a rough estimate for the operation 297 x 9.44 / 0.503 is 6000.