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

A. 3.64879 ×10^5
B.4.36765 × 10^5
C.364,879
D.4.63 ×10^5

1 answer

To compare the numbers \( 364,879 \), \( 463,000 \), and \( 436,765 \) using scientific notation, we'll first express each number in scientific notation:

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

Now we compare the values:

  • \( 3.64879 \times 10^5 \) (which is the scientific notation for \( 364,879 \))
  • \( 4.36765 \times 10^5 \) (which corresponds to \( 436,765 \))
  • \( 4.63 \times 10^5 \) (which corresponds to \( 463,000 \))

Now, we see that they all have the same power of ten (\( 10^5 \)), so we only need to compare the coefficients:

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

The smallest coefficient is \( 3.64879 \), which corresponds to \( 364,879 \).

Thus, the number with the least value is:

C. 364,879.