Question

Classify each number according to its value.

Answer 1

Answer:

1 belongs in the 3rd box

2 in the 1st box

3 on the 1st box

4 in the middle

5the 3rd box

6 middle

7 the middle

Answer 2

Answer:

From Left to right

First box: $3.2\times10^{5}$ and $2.5\times10^{4}$.

Second box: $2.4\times10^{3}$, $2.2\times10^{3}$ and $5.9\times10^{2}$.

Third box: $6.1\times10^{1}$ and $1.9\times10^{-1}$.

Step-by-step explanation:

This process is easier if all the numbers are changed back to normal form. To change the numbers of the scientific notation to the normal form, it is necessary to move the point as many times as the exponent indicates, it moves to the right if the exponent is positive and to the left if it is negative, if when moving the point a space remains empty it must be filled with zeros:

$3.2\times10^{5}= 320000$

$1.9\times10^{-1}= 0.19$

$2.2\times10^{3}= 2200$

$2.4\times10^{3}= 2400$

$5.9\times10^{2}= 590$

$6.1\times10^{1}= 61$

$2.5\times10^{4}= 25000$

$2.4\times10^{4}= 24000$

$1.2\times10^{2}=120$

Ordering the numbers from biggest to smallest:

320000, 25000, 24000, 2400, 2200, 590, 120, 61,0.19

All the numbers on the left of  24000 go in the first box because they are bigger (320000, 25000 or $3.2\times10^{5}$, $2.5\times10^{4}$).  All the numbers between 24000 and 120 go in the second box (2400, 2200, 590 or $2.4\times10^{3}$, $2.2\times10^{3}$, $5.9\times10^{2}$). And finally, all the numbers on the right of 120  go in the third because they are smaller (61, 0.19 or $6.1\times10^{1}$, $1.9\times10^{-1}$).