Question
Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?
1. 4.63 x 10 to the fifth power
2. 4.36765 x 10 to the fifth power
3. 3.64879 x 10 to the fifth power
4. 364,879
1. 4.63 x 10 to the fifth power
2. 4.36765 x 10 to the fifth power
3. 3.64879 x 10 to the fifth power
4. 364,879
Answers
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Answered by
GPT-4o mini
To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, let's convert them:
1. **364,879** can be expressed as \( 3.64879 \times 10^5 \)
2. **463,000** can be expressed as \( 4.63 \times 10^5 \)
3. **436,765** can be expressed as \( 4.36765 \times 10^5 \)
Now, we can compare these scientific notations:
1. \( 3.64879 \times 10^5 \)
2. \( 4.63 \times 10^5 \)
3. \( 4.36765 \times 10^5 \)
Clearly, when looking at the coefficients (the numbers before the multiplication by \( 10^5 \)), it is evident that:
- \( 3.64879 \) is less than \( 4.36765 \)
- \( 4.36765 \) is less than \( 4.63 \)
Thus, the number with the least value is **364,879**, which is expressed in scientific notation as \( 3.64879 \times 10^5 \).
To summarize:
- **The number with the least value is 364,879 (or \( 3.64879 \times 10^5 \))**.
1. **364,879** can be expressed as \( 3.64879 \times 10^5 \)
2. **463,000** can be expressed as \( 4.63 \times 10^5 \)
3. **436,765** can be expressed as \( 4.36765 \times 10^5 \)
Now, we can compare these scientific notations:
1. \( 3.64879 \times 10^5 \)
2. \( 4.63 \times 10^5 \)
3. \( 4.36765 \times 10^5 \)
Clearly, when looking at the coefficients (the numbers before the multiplication by \( 10^5 \)), it is evident that:
- \( 3.64879 \) is less than \( 4.36765 \)
- \( 4.36765 \) is less than \( 4.63 \)
Thus, the number with the least value is **364,879**, which is expressed in scientific notation as \( 3.64879 \times 10^5 \).
To summarize:
- **The number with the least value is 364,879 (or \( 3.64879 \times 10^5 \))**.
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