Compare 364,879, 463,000 and 436,765 using scientific notation. Which number has the least value

1 answer

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 them:

  • \( 3.64879 \times 10^5 \) (which is 364,879)
  • \( 4.63 \times 10^5 \) (which is 463,000)
  • \( 4.36765 \times 10^5 \) (which is 436,765)

Since all the numbers have the same exponent \(10^5\), we can directly compare the coefficients:

  • \( 3.64879 \) (from 364,879)
  • \( 4.63 \) (from 463,000)
  • \( 4.36765 \) (from 436,765)

Among these coefficients, \( 3.64879 \) is the smallest.

Thus, the number with the least value is 364,879.