Which correctly describes Amy’s conclusion and process?
○ Amy is correct. She divided the whole-number parts of the expressions and then the powers of 10. Then she multiplied the two products to get the correct answer.
○ Amy is not correct. She should have divided 10⁻⁶ by 10⁻⁵ to get 10⁻¹. Then she would have concluded that the larger cell is 2 × 10⁻¹ = 0.2 times the size of the smaller cell.
○ Amy is not correct. She should have divided 4 by 8 to get 0.5 and then divided 10⁻⁶ by 10⁻⁵ to get 10⁻¹. She should have then multiplied 0.5 by 10⁻¹ to conclude that the larger cell is 0.05 times the size of the smaller cell.
○ Amy is not correct. She should have divided 4 by 8 to get 0.5 and then multiplied 0.5 × 10 to find that the larger cell is 5 times the size of the smaller cell.
Which correctly describes Amy’s conclusion and process?
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Amy is not correct. She should have divided 4 by 8 to get 0.5 and then divided 10⁻⁶ by 10⁻⁵ to get 10⁻¹. She should have then multiplied 0.5 by 10⁻¹ to conclude that the larger cell is 0.05 times the size of the smaller cell.
Explanation:
To find the relative size of the larger cell to the smaller cell, you need to divide the coefficients (4 by 8) to get 0.5. Then, when you divide the powers of ten (10⁻⁶ by 10⁻⁵), you subtract the exponents, resulting in 10⁻¹. Finally, multiplying these results (0.5 × 10⁻¹) gives you 0.05, indicating that the larger cell is 0.05 times the size of the smaller cell.