Final answer:
The estimation for option a) is approximately 100. However, the estimation for option b) results in 10,000 which does not match the provided options. An error might have occurred in preparing the options or in interpreting the rules of estimation, requiring a reevaluation.
Step-by-step explanation:
The subject question involves estimating calculations by rounding each number to 1 significant figure and then determining which option best approximates the answers. Let's do the estimation for each calculation:
- For 8.2 × 6.7 / 0.46, round 8.2 to 8, 6.7 to 7, and 0.46 to 0.5. After rounding, the calculation becomes 8 × 7 / 0.5 which equals 56 / 0.5 which equals 112. So the estimated result is 100 (since we can only have 1 significant figure).
- For 23.4 × 13.9 / 0.18, round 23.4 to 20, 13.9 to 10, and 0.18 to 0.2. After rounding, the calculation becomes 20 × 10 / 0.2 which equals 2000 / 0.2 which equals 10,000. So the estimated result is 10,000, but due to the constraint of 1 significant figure, the result would be rounded to 10,000. This does not match any of the options provided; thus, an error might have occurred in preparing the options or in interpreting the estimation rules. The significance of the rounding should be re-evaluated with this in mind.
Neither of the available options reflects a correct estimation for option b; therefore, a reevaluation is needed to provide a suitable answer.