Answer:
Greater than 8.2 x 104 = None
Between 8.2 x 10⁴ and 8.2 x 10⁻⁶ : 2.1 x 10⁻⁴, 9.2 x 10⁻⁴
, 3.4 x 10⁻⁵, 2.1 x 10⁻³, 8.3 x 10⁻⁵, 7.2 x 10⁻⁵
Less than 8.2 x 10⁻⁵: 2.8 x 10⁻⁷
Explanation:
We need to classify the given number according to their values.
The given numbers are
2.1 x 10⁻⁴
9.2 x 10⁻⁴
3.4 x 10⁻⁵
2.1 x 10⁻³
2.8 x 10⁻⁷
8.3 x 10⁻⁵
7.2 x 10⁻⁵
All numbers are in their scientific notations.
By the power of 10 we can check whether the number is less than or greater than any number.
A number is greater than 8.2 x 10⁴ if the power of 10 is more than 4 or the power of 10 is 4 and the first number in scientific notation is more that 8.2.
All numbers are less that 8.2 x 10⁴.
Greater than 8.2 x 104 : None
A number lie between 8.2 x 10⁴ and 8.2 x 10⁻⁶ if the power of 10 is less than 4 and more than 6.
Between 8.2 x 10⁴ and 8.2 x 10⁻⁶ : 2.1 x 10⁻⁴, 9.2 x 10⁻⁴
, 3.4 x 10⁻⁵, 2.1 x 10⁻³, 8.3 x 10⁻⁵, 7.2 x 10⁻⁵
A number less that 8.2 x 10⁻⁵ if the power of 10 is less than -5 or power of 10 is equal to -5 and the first number of scientific notation is less that 8.2.
Less than 8.2 x 10⁻⁵: 8.2 x 10⁻⁷