The four weights can be placed under the correct headings in the place value table:
Ones |
. |
Tenths |
Hundredths |
Thousandths |
1 |
. |
0 |
3 |
|
1 |
. |
0 |
3 |
2 |
1 |
. |
2 |
3 |
|
1 |
. |
3 |
|
|
Then, the empty cells can be filled with zeros to make the comparisons more obvious:
Ones |
. |
Tenths |
Hundredths |
Thousandths |
1 |
. |
0 |
3 |
0 |
1 |
. |
0 |
3 |
2 |
1 |
. |
2 |
3 |
0 |
1 |
. |
3 |
0 |
0 |
All of the weights have the same digit in the Ones column.
The first two weights have a zero in the Tenths column, so they are smaller than the third and fourth numbers.
The first two weights have the same digit in the Hundredths column.
However, the first number has a zero in the Thousandths column, whereas the second number has a 2.
So the first number is the smallest, followed by the second number.
Comparing the third and fourth numbers, the third number has a smaller digit in the Tenths column, so it is a smaller decimal than the fourth number.
In increasing order, the weights are: 1.03kg 1.032kg 1.23kg 1.3kg