Place the numbers in descending order.

Question

2.3 × 10-10:3.2 × 10-10;
2.3 × 10-12; 2.3 × 10-8

Answer 1

To compare these numbers in descending order, we can rewrite them with the same exponent for easier comparison. The numbers given are:

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

Let's compare them:

• \( 3.2 \times 10^{-10} \) is the largest since it has the highest coefficient (3.2) for the same exponent.

• Next, we compare \( 2.3 \times 10^{-10} \) and \( 2.3 \times 10^{-12} \). Since \( 10^{-10} \) is greater than \( 10^{-12} \), \( 2.3 \times 10^{-10} \) is greater than \( 2.3 \times 10^{-12} \).

• Finally, \( 2.3 \times 10^{-8} \) is the smallest number since \( 10^{-8} \) is greater than \( 10^{-10} \) and \( 10^{-12} \).

Now we can arrange them in descending order:

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

So, the final descending order is:

3.2 × 10^-10, 2.3 × 10^-10, 2.3 × 10^-8, 2.3 × 10^-12