Place the numbers in descending order.
2.3 * 10 ^ - 10 3.2 * 10 ^ - 10 2.3 * 10 ^ - 12 2.3 * 10 ^ - 8
(2 points)
2.3 * 10 ^ - 8, 3.2 * 10 ^ - 10, 2.3 * 10 ^ - 10, 2.3 * 10 ^ - 12
To place the numbers in descending order, we need to compare the exponents first.
The exponents are:
-10, -10, -12, -8
Now, let's compare the numbers with the same exponents.
For the exponent -10, we have:
2.3 * 10 ^ -10
3.2 * 10 ^ -10
Since the base number is the same (10) and the exponents are the same (-10), we need to compare the decimal values.
2.3 is smaller than 3.2, so the order for the numbers with exponent -10 is:
3.2 * 10 ^ -10 (largest)
2.3 * 10 ^ -10 (smallest)
For the exponent -12, we have:
2.3 * 10 ^ -12
Since there are no other numbers with exponent -12, this number remains as is.
For the exponent -8, we have:
2.3 * 10 ^ -8
Since there are no other numbers with exponent -8, this number remains as is.
Putting it all together, the numbers in descending order are:
3.2 * 10 ^ -10
2.3 * 10 ^ -10
2.3 * 10 ^ -12
2.3 * 10 ^ -8
To place the numbers in descending order, you need to compare the exponential parts of the numbers first, and then compare the decimal parts if the exponential parts are the same.
First, let's ignore the decimal parts and compare the exponential parts of the numbers:
-10, -10, -12, -8
To order these exponents in descending order, we get: -8, -10, -10, -12
Now, let's compare the decimal parts if the exponents are the same:
2.3, 3.2, 2.3, 2.3
Since the exponents for all numbers are the same (-10), we can compare the decimal parts directly. In this case, we get: 3.2, 2.3, 2.3, 2.3
Finally, we combine the ordered exponents (-8, -10, -10, -12) with the decimal parts in descending order (3.2, 2.3, 2.3, 2.3):
3.2 * 10^-8, 2.3 * 10^-10, 2.3 * 10^-10, 2.3 * 10^-12
So, the numbers in descending order are:
3.2 * 10^-8
2.3 * 10^-10
2.3 * 10^-10
2.3 * 10^-12