Let me transcribe the mathematical content from the image and help solve it.

Questions from the image:

54-60: Already written in scientific notation:

• $54. \ 1.004 \times 10^4$
• $55. \ 6.08 \times 10^{10}$
• $56. \ 3.042 \times 10^7$
• $57. \ 4.01 \times 10^{-7}$
• $58. \ 1.0 \times 10^{-10}$
• $59. \ 9.9 \times 10^{-3}$
• $60. \ 7.0011 \times 10^{-5}$

61-68: Rewrite using scientific notation:

1. $500,000,000$
2. $407,300,000,000,000$
3. $9,740,000$
4. $100,230$
5. $0.0000123$
6. $0.000012$
7. $0.000000010034$
8. $0.99071$

Solutions for 61-68:

61. $500,000,000$:

• Scientific notation: $5.0 \times 10^8$

62. $407,300,000,000,000$:

• Scientific notation: $4.073 \times 10^{14}$

63. $9,740,000$:

• Scientific notation: $9.74 \times 10^6$

64. $100,230$:

• Scientific notation: $1.0023 \times 10^5$

65. $0.0000123$:

• Scientific notation: $1.23 \times 10^{-5}$

66. $0.000012$:

• Scientific notation: $1.2 \times 10^{-5}$

67. $0.000000010034$:

• Scientific notation: $1.0034 \times 10^{-8}$

68. $0.99071$:

• Scientific notation: $9.9071 \times 10^{-1}$

Let me know if you'd like detailed explanations for any of these or if you have more questions! Here are some questions to expand your understanding:

1. What are the main rules for converting between standard form and scientific notation?
2. Why is the exponent positive for large numbers and negative for small fractions?
3. How is scientific notation helpful in simplifying very large or very small numbers?
4. What is the significance of keeping only significant figures in scientific notation?
5. How does scientific notation relate to engineering or other applied sciences?

Tip: Always ensure the coefficient in scientific notation is between $1$ and $10$.