Place the numbers in descending order.
2.3 * 10 ^ - 10 3.2 * 10 ^ - 10 ; 2.3 * 10 ^ - 12 : 2.3 * 10 ^ - 8
2.3 * 10^-8 > 2.3 * 10^-10 > 3.2 * 10^-10 > 2.3 * 10^-12
To place the numbers in descending order, we need to compare them based on their coefficients and exponents.
The given numbers are:
2.3 * 10^-10, 3.2 * 10^-10, 2.3 * 10^-12, 2.3 * 10^-8
1. First, let's compare the coefficients:
- The coefficients are: 2.3, 3.2, 2.3, 2.3
3.2 is the largest among the coefficients, followed by 2.3 (repeated twice).
2. In case of a tie in the coefficients, we compare the exponents:
- The exponents are: -10, -10, -12, -8
-12 is the smallest exponent, followed by -10 (repeated twice), and -8.
3. Putting it all together:
The numbers in descending order are:
3.2 * 10^-10, 2.3 * 10^-10, 2.3 * 10^-10, 2.3 * 10^-8
To place these numbers in descending order, you can compare the exponents of the scientific notation. The higher the exponent, the smaller the number. Let's break down the given numbers:
2.3 * 10^-10
3.2 * 10^-10
2.3 * 10^-12
2.3 * 10^-8
Comparing the exponents:
-10, -10, -12, -8
Starting from the smallest exponent and moving towards the largest, we get:
2.3 * 10^-12
2.3 * 10^-10
3.2 * 10^-10
2.3 * 10^-8
Therefore, the numbers in descending order are:
2.3 * 10^-12, 2.3 * 10^-10, 3.2 * 10^-10, 2.3 * 10^-8.