Begin by converting each fraction into a decimal:

Now we can put the decimals in order:

0.269, 0.27, 0.2788, 0.28, 0.3157

or:

No answer choice matches this order, so our answer is "None of the other answers"

Begin by converting each fraction into a decimal:

Now we can put the decimals in order:

0.269, 0.27, 0.2788, 0.28, 0.3157

or:

No answer choice matches this order, so our answer is "None of the other answers"

With decimals, the larger number has a value in the larger spot (anything with a nonzero value in the tenths, is larger than any number with a 0 in the tenths and a digit in the hundredths, and so on). Thus the correct ordering starts with the decimal with the largest digit in the tenth spot, or .340.

After that there is only one with a nonzero value in the tenths spot, so .101 comes next.

Then there are only two that have nonzero values in the hundreths spot, and since 5 is larger than 1 the next two are .052 and then .011.

Finally, the smallest number is the one with zeroes in the tenths and hundreths spot so .009 is the smallest.

Thus resulting in,

The greatest is 0.999 (999/1000), then 0.990 (990/1000), finally 0.909 (909/1000).

0.999 > 0.990 > 0.909

From least to greatest:

0.007 (), 0.07 (), 0.08 (), 0.9 (), 1.33 ( and ), 1.44 ( and ), 14

From least to greatest:

0.007 (), 0.07 (), 0.08 (), 0.9 (), 1.33 ( and ), 1.44 ( and ), 14

When comparing decimals, move left to right, comparing the size of the tenths, then the hundredths, then the thousandths, etc….

When comparing decimals, move left to right, comparing the size of the tenths, then the hundredths, then the thousandths, etc….

With decimals, the larger number has a value in the larger spot (anything with a nonzero value in the tenths, is larger than any number with a 0 in the tenths and a digit in the hundredths, and so on). Thus the correct ordering starts with the decimal with the largest digit in the tenth spot, or .340.

After that there is only one with a nonzero value in the tenths spot, so .101 comes next.

Then there are only two that have nonzero values in the hundreths spot, and since 5 is larger than 1 the next two are .052 and then .011.

Finally, the smallest number is the one with zeroes in the tenths and hundreths spot so .009 is the smallest.

Thus resulting in,

The greatest is 0.999 (999/1000), then 0.990 (990/1000), finally 0.909 (909/1000).

0.999 > 0.990 > 0.909