Question

Can someone pls explain to me how to Order the following numbers in an ascending order?


`3.61 * 10^( - 8)`

`1.22 * 10^(- 8)`

`7.49 * 10 ^( - 6)`

`5.5 * 10 ^( - 6)`

`2.87 * 10 ^( - 5)`
​

Answer 1

swap 1,2; swap 3,4

Explanation:

Put the numbers in scientific notation, with one digit left of the decimal point.

The number with the largest exponent is largest.

If exponents are equal, the number with the largest mantissa is the largest.

__

Here, the exponents are already in order, so you need only order the mantissas for each exponent. Ascending order is ...

`1.22*10^(-8)\\3.61*10^(-8)\\5.5*10^(-6)\\7.49*10^(-6)\\2.87*10^(-5)`