To compare the numbers 364,879, 463,000, and 436,765 using scientific notation, we will convert each number into scientific notation:
- 364,879 = \(3.64879 \times 10^5\)
- 463,000 = \(4.63 \times 10^5\) (since \(4.63 \times 10^5 = 463,000\))
- 436,765 = \(4.36765 \times 10^5\)
Now we have:
- 364,879: \(3.64879 \times 10^5\) (Option A)
- 436,765: \(4.36765 \times 10^5\) (Option B)
- 463,000: \(4.63 \times 10^5\) (Option D)
To determine which number has the least value, we can compare their coefficients since all of them are multiplied by the same power of ten, \(10^5\).
Comparing the coefficients:
- \(3.64879\) (for 364,879)
- \(4.36765\) (for 436,765)
- \(4.63\) (for 463,000)
The smallest coefficient is \(3.64879\).
Thus, the number with the least value is 364,879, which corresponds to Option A: \(3.64879 \times 10^5\).
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