### All SAT Math Resources

## Example Questions

### Example Question #1 : Ordering

Order the following decimals in order from least to greatest:

2.1, 6.9, 4.8, 5.2, 8.5

**Possible Answers:**

6.9, 4.8, 8.5, 5.2, 2.1

2.1, 4.8, 5.2, 6.9, 8.5

2.1, 5.2, 8.5, 4.8, 6.9

8.5, 6.9, 5.2, 4.8, 2.1

**Correct answer:**

2.1, 4.8, 5.2, 6.9, 8.5

Look at the ones place first, ignoring the decimal. The order from greatest to least is 2, 4, 5, 6, and 8. Because none of the numbers in the ones place are the same, it doesn't matter what the decimal will be on these numbers- the order will remain the same. The order is 2.1, 4.8, 5.2, 6.9, 8.5.

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

In the number 5,783.2935, what is the digit in the hundredths place?

**Possible Answers:**

**Correct answer:**

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.

### Example Question #2 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which of these decimals are the greatest?

**Possible Answers:**

**Correct answer:**

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.

### Example Question #2 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which of the following is the greatest in value?

**Possible Answers:**

**Correct answer:**

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.

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

Which of these decimals has the least value?

**Possible Answers:**

**Correct answer:**

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.

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

Put the following in order of least to greatest:

**Possible Answers:**

None of the other answers

**Correct answer:**

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"

### Example Question #3 : Ordering

Order the decimals from least to greatest.

**Possible Answers:**

**Correct 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:

### Example Question #2 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which decimal is the greatest?

**Possible Answers:**

**Correct answer:**

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 #5 : Ordering

Which is the smallest?

**Possible Answers:**

**Correct answer:**

When evaluating, we look at each choice.

Our answer is being the smallest.

### Example Question #3 : 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:**

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 .