SAT Math : Decimals

Example Questions

Example Question #1 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which decimal is the greatest?

Explanation:

When evaluating, we look at each choice.

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

Example Question #1 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which is the smallest?

Explanation:

When evaluating, we look at each choice.

Our answer is  being the smallest.

Example Question #10 : How To Order Decimals From Least To Greatest Or From Greatest To Least

If  is from  which expression will be the greatest?

Explanation:

The numbers are between  and . Therefore if you raise it to any power, it will usually be greater than a number being doubled. In this case, cubic expressions will generate the greatest numbers.

Ex:

Example Question #11 : How To Order Decimals From Least To Greatest Or From Greatest To Least

If  is from  which is the greatest?

Explanation:

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 .

Example Question #91 : Decimals

If  is from , which of the following is the greatest?

Explanation:

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.

Example Question #11 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Rank from smallest to greatest.

Explanation:

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.

Example Question #12 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which decimal is the GREATEST?

Explanation:

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.

Example Question #11 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which decimal is the LEAST?

Explanation:

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.

Example Question #441 : Arithmetic

Rank from smallest to greatest.

Explanation:

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

Example Question #442 : Arithmetic

Rank from least to greatest.