Question

ompare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)Responses364,879364,8793.64879 ×1053.64879 times 10 superscript 5 baseline4.63 ×1054.63 times 10 superscript 5 baseline4.36765 ×105

Answer 1

To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, we first convert each number into scientific notation:

1. **364,879** can be written as:
\( 3.64879 \times 10^5 \)

2. **463,000** can be written as:
\( 4.63 \times 10^5 \)

3. **436,765** can be written as:
\( 4.36765 \times 10^5 \)

Now, we can compare the values in scientific notation by looking at the coefficients (the decimal parts) since they all have the same exponent \(10^5\):

- \(3.64879 \times 10^5\)
- \(4.63 \times 10^5\)
- \(4.36765 \times 10^5\)

Now, comparing the coefficients:
- \(3.64879\) (first number)
- \(4.63\) (second number)
- \(4.36765\) (third number)

Clearly, \(3.64879 < 4.36765 < 4.63\).

Therefore, the number with the least value is **364,879**.