Final answer:
To convert 1.311x10^-7 tons to decigrams (dg), we use the conversion factor of 1 ton = 1,000,000 grams, and 1 gram = 10 dg. The calculation yields 0.01311 dg, which means the correct answer is (a) 0.01311 dg.
Step-by-step explanation:
The question involves converting a measure of mass from tons to decigrams (dg). To find the equivalent decigram value of 1.311x10^-7 tons, we need to know the conversion factor between tons and grams and from grams to decigrams. One ton is equal to 1,000,000 grams, and one gram is equal to 10 decigrams. Multiplying the number of tons by this conversion factor, we perform the following calculation:
1.311x10^-7 tons * 1,000,000 grams/ton * 10 dg/gram = 1.311x10^-1 dg
After simplifying, we end up with:
0.01311 dg
Therefore, the correct answer among the options given is (a) 0.01311 dg.