To compare the numbers \( 364,879 \), \( 463,000 \), and \( 436,765 \) using scientific notation, we will convert each number into scientific notation:
- 364,879 in scientific notation is approximately \( 3.64879 \times 10^5 \)
- 463,000 in scientific notation is \( 4.63 \times 10^5 \)
- 436,765 in scientific notation is \( 4.36765 \times 10^5 \)
Now we have:
- \( 3.64879 \times 10^5 \) (c)
- \( 4.36765 \times 10^5 \) (a)
- \( 4.63 \times 10^5 \) (d)
To compare the numbers:
- The power of \( 10 \) is the same for all three numbers (\( 10^5 \)).
- We only need to compare the coefficients:
- \( 3.64879 \)
- \( 4.36765 \)
- \( 4.63 \)
Since \( 3.64879 < 4.36765 < 4.63 \), the number with the least value is 364,879, which corresponds to the scientific notation \( 3.64879 \times 10^5 \) (option c).
Thus, the number with the least value is:
c. \( 3.64879 \times 10^5 \).
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