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

Answer:

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

Step-by-step 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