Question

Which list is in order from least to greatest? 1.94 x 10 1.25x 10.6x109.8.1 x 10 O 1.25x 10-2 194 10*6x10* 8.1 x 10 O 1.25x 10-2, 1.94 x 10.8.1 x 10^. 8x 10 1.94 x 104, 1.25x 10-2.8.1 x 10*. 6x 10*

Answer 1

`(a)\ 1.94 * 10 ^(-5),\ \ 1.25 *10 ^(-2),\ \ 6 *10 ^(4),\ \ 8.1 *10^(4)`

Explanation:

Given

`(a)\ 1.94 * 10 ^(-5),\ \ 1.25 *10 ^(-2),\ \ 6 *10 ^(4),\ \ 8.1 *10^(4)`

`(b)\ 1.94 * 10 ^(-5),\ \ 6 * 10^4, \ \ 8.1 *10^(4),\ \ 1.25 *10 ^(-2)`

`(c)\ 1.94 * 10 ^(-5), \ \ 8.1 *10^(4),\ \ 6 * 10^4,\ \ 1.25 *10 ^(-2)`

`(d)\ 1.94 * 10 ^(-5),\ \ 1.25 *10 ^(-2), \ \ 8.1 *10^(4),\ \ 6 * 10^4`

Required

Which list is in ascending order

To do this, we analyze each of the options 1 after the other.

`(a)\ 1.94 * 10 ^(-5),\ \ 1.25 *10 ^(-2),\ \ 6 *10 ^(4),\ \ 8.1 *10^(4)`

Convert each list item to decimal

`1.94 * 10 ^-5 = 0.0000194`

`1.25 *10 ^-2 = 0.0125`

`6 *10^(4) = 60000`

`8.1 *10^(4) = 81000`

The list is in ascending order because:

`0.0000194 < 0.0125 < 60000 < 81000`

No need to test other options