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

Responses

364,879
364,879

4.36765 ×105
4.36765 times 10 superscript 5 baseline

3.64879 ×105
3.64879 times 10 superscript 5 baseline

4.63 ×105

1 answer

To compare the numbers 364,879; 463,000; and 436,765 using scientific notation, we first convert them into the notation format.

  1. 364,879: \[ 364,879 = 3.64879 \times 10^5 \]

  2. 463,000: \[ 463,000 = 4.63 \times 10^5 \]

  3. 436,765: \[ 436,765 = 4.36765 \times 10^5 \]

Now that we have all the numbers in scientific notation:

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

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

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

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

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