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Students select the option which lists the four decimal weights of premature infants in order from smallest to highest.

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This question was written by MESH (the Mathematics Education Support Hub) at Western Sydney University.

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A premature baby was weighed four times over a period of time, and the weight (in kilograms) was recorded each time, to check that the baby was putting on weight.

", "advice": "

The four weights can be placed under the correct headings in the place value table:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Ones.TenthsHundredthsThousandths
1.0{digit}
1.0{digit}{digit - 1}
1.{digit - 1}{digit}
1.{digit}
\n

Then, the empty cells can be filled with zeros to make the comparisons more obvious:

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Ones.TenthsHundredthsThousandths
1.0{digit}0
1.0{digit}{digit - 1}
1.{digit - 1}{digit}0
1.{digit}00
\n

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All of the weights have the same digit in the Ones column. 

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The first two weights have a zero in the Tenths column, so they are smaller than the third and fourth numbers.

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The first two weights have the same digit in the Hundredths column.

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However, the first number has a zero in the Thousandths column, whereas the second number has a {digit - 1}.

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So the first number is the smallest, followed by the second number.

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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.

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In increasing order, the weights are:   1.0{digit}kg     1.0{digit}{digit - 1}kg       1.{digit - 1}{digit}kg       1.{digit}kg

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The random digit that all 4 weights are built from. It is kept low to ensure that the increase between the middle two measurements is not ridiculously large.

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Which list below shows the four weight measurements (in kilograms) in increasing order from left to right?

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