Easton broke a cell sample into 8 batches, each weighing $$ 3.9 imes 10^{-5} $$ grams. How much did the original sample weigh? Use scientific notation to express your answer. Answer Attempt 3 out of 3 Answer: $$ \square imes 10 $$ grams Submit Answer

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Easton broke a cell sample into 8 batches, each weighing $$ 3.9 	imes 10^{-5} $$ grams. How much did the original sample weigh? Use scientific notation to express your answer. Answer Attempt 3 out of 3 Answer: $$ \square 	imes 10 $$ grams Submit Answer

UpStudy AI · Accepted Answer

1. Each batch weighs $$3.9 \times 10^{-5}$$ grams.  
2. Since there are 8 batches, the total weight is calculated by multiplying the number of batches by the weight of one batch:  
   $$
   8 \times \left(3.9 \times 10^{-5}\right)
   $$
3. Multiply the coefficients:
   $$
   8 \times 3.9 = 31.2
   $$
   so the expression becomes:
   $$
   31.2 \times 10^{-5} \text{ grams}
   $$
4. Convert $$31.2 \times 10^{-5}$$ into proper scientific notation. Write $$31.2$$ as $$3.12 \times 10^1$$:
   $$
   31.2 \times 10^{-5} = \left(3.12 \times 10^1\right) \times 10^{-5} = 3.12 \times 10^{1-5} = 3.12 \times 10^{-4} \text{ grams}
   $$

Thus, the original sample weighed $$ \boxed{3.12 \times 10^{-4}} $$ grams.
The original sample weighed $$ 3.12 \times 10^{-4} $$ grams.

Easton broke a cell sample into 8 batches, each weighing \( 3.9 \times 10^{-5} \) grams. How much did the original sample weigh? Use scientific notation to express your answer. Answer Attempt 3 out of 3 Answer: \( \square \times 10 \) grams Submit Answer

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