Answer:
She should have multiplied by 10,000
Step-by-step explanation:
Given table:
![\begin{array}{| c | c |}\cline{1-2} \sf kilo & 1,000 \\\cline{1-2} \sf hecto & 100 \\\cline{1-2} \sf deka & 10 \\\cline{1-2} \sf unit & 1 \\\cline{1-2} \sf deci & 0.1 \\\cline{1-2} \sf centi & 0.01 \\\cline{1-2} \sf milli & 0.001 \\\cline{1-2}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7C%20c%20%7C%20c%20%7C%7D%5Ccline%7B1-2%7D%20%5Csf%20kilo%20%26%201%2C000%20%5C%5C%5Ccline%7B1-2%7D%20%5Csf%20hecto%20%26%20100%20%5C%5C%5Ccline%7B1-2%7D%20%5Csf%20deka%20%26%2010%20%5C%5C%5Ccline%7B1-2%7D%20%5Csf%20unit%20%26%201%20%5C%5C%5Ccline%7B1-2%7D%20%5Csf%20deci%20%26%200.1%20%5C%5C%5Ccline%7B1-2%7D%20%5Csf%20centi%20%26%200.01%20%5C%5C%5Ccline%7B1-2%7D%20%5Csf%20milli%20%26%200.001%20%5C%5C%5Ccline%7B1-2%7D%5Cend%7Barray%7D)
To find the conversion rate:
![\sf \dfrac{hecto}{centi}=\dfrac{100}{0.01}=10000](https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7Bhecto%7D%7Bcenti%7D%3D%5Cdfrac%7B100%7D%7B0.01%7D%3D10000)
Therefore, 1 hectogram = 10,000 centigrams
So when converting hectograms to centigrams, multiply the mass by 10,000.
⇒ 50 hg × 10,000 = 500,000 centigrams
Rachel's error was that she should have multiplied by 10,000.