Which measurement represents the smallest quantity?

Options

A. `2950 g`
B. `2.95xx10^(-4) g`
C. `2.95xx10^3kg`
D. `2.95xx10^(-6)kg`

Answer

To determine which measurement represents the smallest quantity, we will analyze the given options step by step.

### Step 1: Identify the Measurements
We have the following measurements:
1. 2950 grams
2. \(2.95 \times 10^{-4}\) grams
3. 2.95 kilograms
4. \(10^{-6}\) kilograms

### Step 2: Convert All Measurements to Grams
To compare the quantities effectively, we need to convert all measurements to grams.

1. **2950 grams**: This is already in grams.
\[ 2950 \text{ grams} \]

2. **\(2.95 \times 10^{-4}\) grams**: This is already in grams.
\[ 2.95 \times 10^{-4} \text{ grams} \]

3. **2.95 kilograms**: Convert kilograms to grams using the conversion factor \(1 \text{ kg} = 1000 \text{ grams}\).
\[ 2.95 \text{ kg} = 2.95 \times 1000 \text{ grams} = 2950 \text{ grams} \]

4. **\(10^{-6}\) kilograms**: Convert kilograms to grams.
\[ 10^{-6} \text{ kg} = 10^{-6} \times 1000 \text{ grams} = 10^{-3} \text{ grams} = 0.001 \text{ grams} \]

### Step 3: Compare All Values
Now we have the following values in grams:
1. 2950 grams
2. \(2.95 \times 10^{-4}\) grams (which is 0.000295 grams)
3. 2950 grams
4. 0.001 grams

### Step 4: Identify the Smallest Quantity
Now we can compare the converted values:
- 2950 grams
- 0.000295 grams
- 2950 grams
- 0.001 grams

The smallest quantity among these is:
\[ 0.000295 \text{ grams} \]

### Conclusion
Thus, the measurement that represents the smallest quantity is:
\[ \text{Option 2: } 2.95 \times 10^{-4} \text{ grams} \]

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