Which of the following is the greatest mass? A. $$ 2.3 imes 10^{-1} \mathrm{cg} $$ B. $$ 6.6 imes 10^{5} \mu \mathrm{~g} $$ C. $$ 8.4 imes 10^{2} \mathrm{mg} $$ D. $$ 1.5 imes 10^{8} \mathrm{ng} $$ E. $$ 3.0 imes 10^{-1} \mathrm{~g} $$

Question

Which of the following is the greatest mass? A. $$ 2.3 	imes 10^{-1} \mathrm{cg} $$ B. $$ 6.6 	imes 10^{5} \mu \mathrm{~g} $$ C. $$ 8.4 	imes 10^{2} \mathrm{mg} $$ D. $$ 1.5 	imes 10^{8} \mathrm{ng} $$ E. $$ 3.0 	imes 10^{-1} \mathrm{~g} $$

UpStudy AI · Accepted Answer

To determine which option represents the greatest mass, we'll convert all given masses to grams (g) for a straightforward comparison.

### Metric Prefixes:
- **centigram (cg)**: $$1 \, \text{cg} = 10^{-2} \, \text{g}$$
- **milligram (mg)**: $$1 \, \text{mg} = 10^{-3} \, \text{g}$$
- **microgram (μg)**: $$1 \, \mu\text{g} = 10^{-6} \, \text{g}$$
- **nanogram (ng)**: $$1 \, \text{ng} = 10^{-9} \, \text{g}$$

### Conversion of Each Option to Grams:
1. **Option A:** $$2.3 \times 10^{-1} \, \text{cg}$$
   $$
   2.3 \times 10^{-1} \, \text{cg} \times 10^{-2} \, \frac{\text{g}}{\text{cg}} = 2.3 \times 10^{-3} \, \text{g}
   $$

2. **Option B:** $$6.6 \times 10^{5} \, \mu\text{g}$$
   $$
   6.6 \times 10^{5} \, \mu\text{g} \times 10^{-6} \, \frac{\text{g}}{\mu\text{g}} = 6.6 \times 10^{-1} \, \text{g}
   $$

3. **Option C:** $$8.4 \times 10^{2} \, \text{mg}$$
   $$
   8.4 \times 10^{2} \, \text{mg} \times 10^{-3} \, \frac{\text{g}}{\text{mg}} = 8.4 \times 10^{-1} \, \text{g}
   $$

4. **Option D:** $$1.5 \times 10^{8} \, \text{ng}$$
   $$
   1.5 \times 10^{8} \, \text{ng} \times 10^{-9} \, \frac{\text{g}}{\text{ng}} = 1.5 \times 10^{-1} \, \text{g}
   $$

5. **Option E:** $$3.0 \times 10^{-1} \, \text{g}$$
   $$
   3.0 \times 10^{-1} \, \text{g} \quad (\text{Already in grams})
   $$

### Summary of Converted Masses:
- **A:** $$2.3 \times 10^{-3} \, \text{g}$$
- **B:** $$6.6 \times 10^{-1} \, \text{g}$$
- **C:** $$8.4 \times 10^{-1} \, \text{g}$$
- **D:** $$1.5 \times 10^{-1} \, \text{g}$$
- **E:** $$3.0 \times 10^{-1} \, \text{g}$$

### Comparison:
Arranging the masses from smallest to largest:
$$
A (0.0023 \, \text{g}) < D (0.15 \, \text{g}) < E (0.3 \, \text{g}) < B (0.66 \, \text{g}) < C (0.84 \, \text{g})
$$

**Conclusion:**  
The greatest mass is **Option C: $$8.4 \times 10^{2} \, \text{mg}$$**.

**Answer:**  
**C. $$8.4 \times 10^{2} \mathrm{mg}$$**
Option C has the greatest mass.

Which of the following is the greatest mass? A. \( 2.3 \times 10^{-1} \mathrm{cg} \) B. \( 6.6 \times 10^{5} \mu \mathrm{~g} \) C. \( 8.4 \times 10^{2} \mathrm{mg} \) D. \( 1.5 \times 10^{8} \mathrm{ng} \) E. \( 3.0 \times 10^{-1} \mathrm{~g} \)

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