Earth is approximately 5 times 10 Superscript 9 years old. For which of these ages could this be an​ approximation?
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Part 1
Select all that apply.
A.
4.669999999 times 10 Superscript 9 years
B.
4 comma 527 comma 600 comma 000 years
C.
4.36 times 10 Superscript 9 years
D.
45 comma 000 comma 000 comma 000 years
E.
4 comma 791 comma 000 comma 000 years

The question asks which of the given ages could be approximated as \( 5 \times 10^9 \) years, which means we are looking for values close to \( 5 \times 10^9 \) (or 5 billion years).

Let's evaluate each option:

**Option A: \( 4.669999999 \times 10^9 \) years**

- This value is approximately 4.67 billion years.
- It is close to 5 billion years, so it could be a reasonable approximation.

**Option B: 4,527,600,000 years**

- This value is about 4.5276 billion years.
- It is quite close to 5 billion years and could be an approximation.

**Option C: \( 4.36 \times 10^9 \) years**

- This value is approximately 4.36 billion years.
- It is less close to 5 billion years but still within a reasonable range, so it could still be considered an approximation.

**Option D: 45,000,000,000 years**

- This value is 45 billion years, which is far from 5 billion years.
- It is not a reasonable approximation.

**Option E: 4,791,000,000 years**

- This value is about 4.791 billion years.
- It is close to 5 billion years, making it a good approximation.

### Conclusion:
The correct options that could approximate \( 5 \times 10^9 \) years are:

- **A. \( 4.669999999 \times 10^9 \) years**
- **B. 4,527,600,000 years**
- **C. \( 4.36 \times 10^9 \) years**
- **E. 4,791,000,000 years**

Only **D** (45 billion years) is not a reasonable approximation.

Would you like further details or explanations on any of these options?

### Related Questions:
1. What is scientific notation, and why is it useful?
2. How do you convert large numbers into scientific notation?
3. What are the rules for rounding numbers in scientific notation?
4. How can we determine the margin of error when approximating numbers?
5. What are some real-world applications of scientific notation?

**Tip:** When approximating numbers, always consider how close they are to the target value and the context in which the approximation is being used.

Earth is approximately 5 times 10^9 years old. For which of these ages could this be an approximation?
Select all that apply.
A. 4.669999999 times 10^9 years
B. 4,527,600,000 years
C. 4.36 times 10^9 years
D. 45,000,000,000 years
E. 4,791,000,000 years

Explore how to approximate Earth's age using scientific notation. Learn which values could approximate 5 times 10^9 years, covering concepts of scientific notation, approximation, and significant figures. This problem is suitable for students in Grades 9-10.

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