To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, we first convert each number:
- 364,879 = \(3.64879 \times 10^5\)
- 463,000 = \(4.63 \times 10^5\)
- 436,765 = \(4.36765 \times 10^5\)
Now we establish their values in scientific notation:
- \(3.64879 \times 10^5\)
- \(4.63 \times 10^5\)
- \(4.36765 \times 10^5\)
Next, we can see that all the numbers are multiplied by \(10^5\), meaning we just need to compare the coefficients (the numbers before the powers of ten).
Comparing the coefficients:
- \(3.64879\)
- \(4.63\)
- \(4.36765\)
The smallest coefficient is \(3.64879\), which corresponds to 364,879.
Therefore, the number with the least value is 364,879.