# PSAT Math : How to order decimals from least to greatest or from greatest to least

## Example Questions

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

Order the following decimals in order from least to greatest:

2.1, 6.9, 4.8, 5.2, 8.5

2.1, 5.2, 8.5, 4.8, 6.9

2.1, 4.8, 5.2, 6.9, 8.5

6.9, 4.8, 8.5, 5.2, 2.1

8.5, 6.9, 5.2, 4.8, 2.1

2.1, 4.8, 5.2, 6.9, 8.5

Explanation:

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?

Explanation:

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.

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

Which of these decimals are the greatest?

Explanation:

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 #1 : Ordering

Which of the following is the greatest in value?

Explanation:

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 #3 : How To Order Decimals From Least To Greatest Or From Greatest To Least

Which of these decimals has the least value?

Explanation:

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

Five friends go to a coffee shop, the menu for which is above. Each has a coupon that is good for one dollar off the price of a butter croissant with the purchase of a large drink, or fifty cents off the price of a butter croissant with the purchase of a small drink.

Mick buys one large iced coffee and one butter croissant.

Keith buys one small iced coffee and one butter croissant.

Bill buys one large cappucino and one butter croissant.

Charlie buys one small cappucino and one butter croissant.

Who will pay the most, if everyone who can use his coupon does?

Bill

Keith

Charlie

Mick

Brian

Bill

Explanation:

Mick orders a large drink, so he uses his coupon to save a dollar off his croissant. He will pay

Bill orders a large drink, so he uses his coupon to save a dollar off his croissant. He will pay

Keith orders a small drink, so he uses his coupon to save fifty cents off his croissant. He will pay

Charlie orders a small drink, so he uses his coupon to save fifty cents off his croissant. He will pay

Brian does not buy a coffee, so he will not use his coupon. He will pay full price for both croissants, which will be

Bill pays the most.

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

What is the median of the following numbers: , , , , and ?