Final answer:
To estimate the value of 0.482 × 61.2² ÷ √98.01 to one significant figure, round each number to one significant figure and then perform the calculation; the final estimate is approximately 200.
Step-by-step explanation:
The question involves using estimates to one significant figure to calculate the value of 0.482 × 61.2² ÷ √98.01. First, we need to estimate each number to one significant figure. The estimates would be:
- 0.482 rounds to 0.5
- 61.2² is approximately 61², which is 3721
- √98.01 is roughly the square root of 100, which is 10
Now we perform the calculations with these approximations:
0.5 × 3721 ÷ 10 = (0.5 × 3721) ÷ 10 = 1860.5 ÷ 10 = 186.05
Since we are estimating to one significant figure, the final estimate would be approximately 200.