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place the numbers in descending order.

1. 2.3 x 10^-10
2. 2.3 x 10^-8
3. 3.2 x 10^-10
4. 2.3 x 10^-12
put them from highest to lowest

1 answer

To arrange the numbers in descending order, we first look at their scientific notation:

  1. \(2.3 \times 10^{-10}\)
  2. \(2.3 \times 10^{-8}\)
  3. \(3.2 \times 10^{-10}\)
  4. \(2.3 \times 10^{-12}\)

We focus on the exponent of 10 as a primary factor for ordering:

  • The highest exponent is \(-8\) (from \(2.3 \times 10^{-8}\)).
  • The next highest is \(-10\) (and since there are two numbers with this exponent, we will compare them).
  • The lowest exponent is \(-12\) (from \(2.3 \times 10^{-12}\)).

Now, comparing the two numbers with exponent \(-10\):

  • \(2.3 \times 10^{-10}\)
  • \(3.2 \times 10^{-10}\) (this is higher than \(2.3 \times 10^{-10}\) since \(3.2 > 2.3\)).

Now, we can arrange the numbers in descending order:

  1. \(2.3 \times 10^{-8}\)
  2. \(3.2 \times 10^{-10}\)
  3. \(2.3 \times 10^{-10}\)
  4. \(2.3 \times 10^{-12}\)

So, the final order from highest to lowest is:

  1. \(2.3 \times 10^{-8}\)
  2. \(3.2 \times 10^{-10}\)
  3. \(2.3 \times 10^{-10}\)
  4. \(2.3 \times 10^{-12}\)