Question

Which conversions from scientific notation to standard notation are true? Select the four correct answers.
1.71 times 10 Superscript 3 Baseline = 0.00171
8.05 times 10 Superscript 5 Baseline = 805,000
2.4 times 10 Superscript 4 Baseline = negative 24,000
8.25 times 10 Superscript negative 3 Baseline = negative 8,250
7.09 times 10 Superscript negative 6 Baseline = 0.00000709
3.99 times 10 Superscript 5 Baseline = 300,099
8 times 10 Superscript 7 Baseline = 80,000,000
1.03 times 10 Superscript negative 4 Baseline = 0.000103

Answer 1

Let's evaluate each of the scientific notation conversions to determine which ones are correct.

1. **1.71 × 10^3** = 1710 (Not true, as it is equal to 1710, not 0.00171)

2. **8.05 × 10^5** = 805,000 (True)

3. **2.4 × 10^4** = 24,000 (Not true, as it is equal to 24,000, not -24,000)

4. **8.25 × 10^(-3)** = 0.00825 (Not true, as it is equal to 0.00825, not -8,250)

5. **7.09 × 10^(-6)** = 0.00000709 (True)

6. **3.99 × 10^5** = 399,000 (Not true, as it is equal to 399,000, not 300,099)

7. **8 × 10^7** = 80,000,000 (True)

8. **1.03 × 10^(-4)** = 0.000103 (True)

Based on this evaluation, the correct conversions from scientific notation to standard notation are:

- 8.05 × 10^5 = 805,000
- 7.09 × 10^(-6) = 0.00000709
- 8 × 10^7 = 80,000,000
- 1.03 × 10^(-4) = 0.000103

So the four correct answers are:
- 8.05 × 10^5 = 805,000
- 7.09 × 10^(-6) = 0.00000709
- 8 × 10^7 = 80,000,000
- 1.03 × 10^(-4) = 0.000103