Ordering - SAT Math

look at the first decimal place; 0.2 and 0.201 are the largest.

0.2 = 0.200 and 0.201 > 0.200

0.201 is the greatest given decimal.

Trailing zeros at the end of a decimal do not increase or decrease the value of a given decimal. However, zeros that appear after the decimal point and precede a non-zero number decrease the value of the number.

Turn the fractions into decimals to easily compare them. You can do this quickly on your calculator.

is approximately 2.667, so this is the largest number.

The digit in the hundredths place is the one two decimal places to the right of the decimal. That digit is 9. Do not confuse the hundredths with the hundreds place, which is three spaces to the left of the decimal.

The answer is 9.

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"

The tenths digits are different. , , and are clearly bigger than the other two.

So now, we compare the remaining decimals.

, are exacty the same decimal with just more zeroes.

is clearly the biggest as it is much bigger.

By looking at the tenths digit, are smaller than the other two.

Next, we look at the digits afterwards. is clearly the smallest out of the rest.

The others have more precise decimal places.

To rank, we check the tenths digit. are the smallest in the set.

Next, we look at the hundredths digit. is greater than , so the rank is .

Since the next three numbers have differnt tenths digit, we just put in numerical order.

Final answer should be

.

Since each decimal have the same tenths digit, we compare the hundredths digit. is the greatest of all decimals in the set since the rest have as the hundredths digit.

Next, we compare the rest.

The more s there are, the more precise the decimal.

is the order.

The final order is

.

When dealing with negative numbers, remember the largest decimal is the least value which will be since their tenths digit is greater than the rest.

The rest of the order will be .

The hundredths digit in is greater than the rest.

So our order is

.

There is a in front of most decimals except which makes the rest bigger than this decimal.

Next, the ones with less zeroes means the value is bigger and further than .

We have a decimal with zeroes, another with zeroes, and lastly with zeroes.

The one with zeroes is the greatest decimal.

That value is .

Remember, when dealing with negative numbers, the larger the decimal, the smaller the value.

We eliminate as it is the smallest decimal value, however the greatest with the negative sign present.

By comparing to the hundredths digit, has the highest hundredths digit but is the smallest value since we have a negative sign present.

is our answer.

The higher negative numbers will be the least numbers.

Start with the negative numbers first.

The smaller of the two positive decimals is .

Order from least to greatest.

The answer is:

When evaluating, we look at each choice.

It seems like when dividing with a decimal, our value is greater. Therefore is our answer.

When evaluating, we look at each choice.

Our answer is being the smallest.

The numbers are between and . Therefore if you raise it to any power, it will increase. In this case, cubic expressions will generate the greatest numbers.

Ex:

Answer is .

The numbers are from to . This means the values are decimals and will be small if raised to any power but greater when multiplied or added.

Ex:

Our answer is going to be .

Since the range is from to , we have negative decimals. We need to see if any operations will generate positive decimals. Only does that as two negatives becomes positive when multiplied.

List the elements from greatest to least. The greater numbers are the decimals closest to 1.