Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)

Responses

4.63 ×10 to the power of 5
4.63 times 10 superscript 5 baseline

364,879
364,879

4.36765 ×10 to the power of 5
4.36765 times 10 superscript 5 baseline

3.64879 ×10 to the power of 5

1 answer

Let's convert each of the numbers into scientific notation and then compare them:

  1. \( 364,879 = 3.64879 \times 10^5 \)
  2. \( 436,765 = 4.36765 \times 10^5 \)
  3. \( 463,000 = 4.63 \times 10^5 \)

Now, when comparing the scientific notation, all three numbers are expressed with the same power of ten (\(10^5\)). Therefore, we can simply compare the coefficients:

  • \( 3.64879 \)
  • \( 4.36765 \)
  • \( 4.63 \)

Among these, \( 3.64879 \) is the smallest coefficient. Thus, the number with the least value is:

364,879 (or \( 3.64879 \times 10^5 \) in scientific notation).