SAT Math : Decimals

Study concepts, example questions & explanations for SAT Math

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Example Questions

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

Which decimal is the greatest?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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: 

Answer is .

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

If  is from  which is the greatest?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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.

Possible Answers:

Correct answer:

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.

Final answer should be 

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

Which decimal is the GREATEST?

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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. 

Possible Answers:

Correct answer:

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.

Possible Answers:

Correct answer:

Explanation:

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 

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