Place the numbers in descending order:

2.3 x 10^-10 ; 3.2 x 10^-10 ; 2.3 x 10^-12 ; 2.3 x 10^-8

3 answers

To arrange the numbers in descending order, we first need to express them in decimal form for easy comparison.

  1. \(2.3 \times 10^{-10} = 0.00000000023\)
  2. \(3.2 \times 10^{-10} = 0.00000000032\)
  3. \(2.3 \times 10^{-12} = 0.0000000000023\)
  4. \(2.3 \times 10^{-8} = 0.000000023\)

Now we can compare:

  • \(2.3 \times 10^{-8} = 0.000000023\)
  • \(2.3 \times 10^{-10} = 0.00000000023\)
  • \(3.2 \times 10^{-10} = 0.00000000032\)
  • \(2.3 \times 10^{-12} = 0.0000000000023\)

Arranging these from largest to smallest gives:

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

Therefore, the numbers in descending order are:

\[ 2.3 \times 10^{-8}, 3.2 \times 10^{-10}, 2.3 \times 10^{-10}, 2.3 \times 10^{-12} \]

are you sure

Let me double-check the calculations for the numbers in descending order:

  1. Convert to decimal:

    • \(2.3 \times 10^{-10} = 0.00000000023\)
    • \(3.2 \times 10^{-10} = 0.00000000032\)
    • \(2.3 \times 10^{-12} = 0.0000000000023\)
    • \(2.3 \times 10^{-8} = 0.000000023\)
  2. Arranging the decimals:

    • \(2.3 \times 10^{-8} = 0.000000023\)
    • \(3.2 \times 10^{-10} = 0.00000000032\)
    • \(2.3 \times 10^{-10} = 0.00000000023\)
    • \(2.3 \times 10^{-12} = 0.0000000000023\)
  3. Order by magnitude:

    • The largest value is \(2.3 \times 10^{-8}\).
    • The second largest is \(3.2 \times 10^{-10}\).
    • The third is \(2.3 \times 10^{-10}\).
    • The smallest is \(2.3 \times 10^{-12}\).

Thus, I confirm that the correct order from largest to smallest is:

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

Thank you for your patience!