Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)%0D%0AResponses%0D%0A%0D%0A3.64879 ×105%0D%0A3.64879 times 10 superscript 5 baseline%0D%0A%0D%0A4.36765 ×105%0D%0A4.36765 times 10 superscript 5 baseline%0D%0A%0D%0A4.63 ×105%0D%0A4.63 times 10 superscript 5 baseline%0D%0A%0D%0A364,879

3 answers

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

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

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

Now we compare the coefficients (the numbers in front of \(10^5\)) to determine which number has the least value:

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

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

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

no

Let's clarify the comparison step by step.

We have three numbers: 364,879; 463,000; and 436,765. We’ll express them in scientific notation first and then compare them:

  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 we compare the coefficients:

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

The coefficient \(3.64879\) for 364,879 is indeed the smallest when comparing the values in scientific notation.

Thus, the correct conclusion is that 364,879 has the least value among the three numbers. If my previous statement was incorrect according to your viewpoint, please clarify what you believe is the correct answer or reasoning!