Ordering Decimals

Put in each number. Fill in the empty squares with zeros. Compare using the first column on the left. If the digits are equal move to the next column to the right until one number wins. If you want ascending order you always pick the smallest first. If you want . Summary: When ordering decimals, first write one decimal beneath the other in their original order. Then compare them two at a time. When ordering four or more decimals, it is helpful to write a number in a circle next to each to order them.

Example how to distract the mind The Glosser Family drove to a gasoline station in their neighborhood. The station has three gas pumps, each marked **how to put decimals in order** price per gallon. Which pump has the lowest price per gallon? Which pump has the highest price per gallon? Analysis: We know that 1. Writing one decimal beneath the other in order, we get:. In the example above, we ordered three decimal numbers from least to greatest by comparing them two at a time.

Let's look at some more examples. Now let's order these decimals from least to greatest without our place-value chart. We will do this by comparing two decimals at a time. Hpw Ordering these decimals from least to greatest we get: 0. In the examples above, the decimals in each problem had the same how to weld lead flashing of digits.

Thus, they lined up nicely, *how to put decimals in order* beneath the other. Let's look at some examples in which the decimals presented have a different number of decimal digits. Let's start by writing one decimal beneath the other in their original order.

Note that these three decimals have a different number of decimal digits. Next, examine each pug, writing one or more zeros to the right of the last digit, so that all decimals have the same number of decimal digits. Sometimes it is helpful to place a number in a circle to the right of each decimal you are trying to order.

This is done in Example 4. We have been asked to order four decimal numbers. Now we can compare two decimals at a time. We will write a number in a circle next to each decimal to denote its order. Answer: Ordering these decimals from least to greatest we get: 3. Example 5: Order these decimals from least to greatest: dcimals.

We have been asked to order five decimal numbers. Next, examine each decimal, writing one or more zeros to the right of the last digit, as needed. Answer: Ordering these decimals from least oder greatest we get: 5. Sample Answer 1: 7. Sample Answer 2: 7. Example 8: Write the smallest possible decimal between zero upt one that uses the digits 5, 0, hhow, 1, 9, and 6 exactly once. Note that a leading zero was not used here.

Example 9: Write the greatest possible decimal between zero and one that uses the digits 9, 0, 2, 7, 3 and 5 exactly once. Note that these two decimals are equivalent.

Summary: When ordering decimals, first write one decimal beneath the other in their original order. Then compare them two at a time. When ordering four or more decimals, it is helpful to write a number in a circle next to each to order them. Directions: Read each question below.

You may use paper to help you find the answers. Select your answer by clicking on its button. If you make a mistake, choose a different button. Shop Math Games. Skip to main content. Search form Search. Writing one decimal beneath the other in order, we get: 1.

Example 2: Order these decimals from least to greatest: 0. Example 3: Order these decimals from least to greatest: 6. Example 4: Order these decimals from least to greatest: 3. Example 6: Write 3 decimals between 4. Analysis: We need to write a zero in the thousandths place for each of the given numbers. We can use any digit between 1 and 9. We can choose any 3 numbers in red from above as long as they are in order from least to greatest.

Accordingly, our answers will vary. Below are some sample answers. Sample Answer 1: 4. Analysis: We need to write a zero in the ten-thousandths place for each of the given numbers. Exercises Directions: Read each question below. Which of the following is the smallest decimal number? Which of the orcer is the largest decimal number? Which of the following choices lists these decimals in order from least to greatest: 0.

Which of the following choices lists these decimals in order from least to greatest: 3. Which of the following choices lists these decimals in order from least to greatest: 7. Now how to treat open blisters on hands must find 3 numbers that are between the given numbers. The question asks us to write 3 decimals between 4. The question asks us to write 3 decimals between 7.

Lessons on Decimals, Part I. Reading and Writing Decimals. Comparing Decimals. Ordering Decimals. Estimating Decimal Sums. Adding Decimals. Estimating Decimal Differences. Subtracting Decimals. Solving Decimal Word Problems. Practice Exercises. Challenge Exercises. Printable Worksheets. Try our Decimal Worksheet Generator. Try our Money Worksheet Generator. Try decimasl Place Value Worksheet Generator.

Locating and Ordering Decimals With a Number Line

Feb 22, · Ordering Decimals Using a Number Line 1. Compare the whole numbers. The quickest way to order decimals is to look at their whole numbers. If one whole number 2. Determine the first 58%(51). Mar 11, · Learn about Ordering Decimals with Mr. J. Whether you're just starting out, need a quick refresher, or here to master your math skills, this is the place for. Order decimals. Check to see if both numbers have the same number of decimal places. If not, write zeros at the end of the one with fewer digits to make them match. Compare the numbers to the right of the decimal point as if they were whole numbers. .

Last Updated: August 17, References. This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. There are 12 references cited in this article, which can be found at the bottom of the page. This article has been viewed 44, times. Learn more You can order decimals just as you can order other numbers.

With decimals, it is especially important to understand place value. Log in Social login does not work in incognito and private browsers. Please log in with your username or email to continue.

No account yet? Create an account. Edit this Article. We use cookies to make wikiHow great. By using our site, you agree to our cookie policy. Cookie Settings. Learn why people trust wikiHow. Download Article Explore this Article methods. Related Articles. Method 1 of Look at the whole number. The quickest way to determine the least or greatest number is to compare their whole numbers. If one number has a larger whole number than the others, it is automatically the greatest number. If one number has a smaller whole number than the others, it is automatically the least number.

For example, if you are comparing the numbers Since 11 is less than 12, you know that Set up a table for the remaining numbers. The table should have one row for each number, and a column for each digit in the numbers.

You should also add a column to include the decimal point. For example, since you are comparing From left to right, the columns would be labeled tens, ones, decimal, tenths, hundredths, thousandths. Fill in the numbers on the table. Make sure the decimal points line up. If the numbers are different lengths, fill in zeros for any open columns. Compare the tenths column. If either number has a larger digit in the tenths column, it is the larger number. If the numbers have the same digit in the tenths column, you need to move on to compare the hundredths column.

For example, Compare the hundredths column. Again, compare the digits in this place value. If either number has a larger digit here, it is the larger number. If not, you need to move on to the thousandths column. Compare the smaller fractional place values.

Keep comparing the digits in the columns of your table, until you find a number that has a larger digit. This will be the largest number. Thus, Order the numbers from least to greatest. The smallest number should come first in your list, and the largest number should come last. The other numbers should be listed in between in ascending order. For example, the numbers listed from least to greatest are You can also write them using the less than symbol: Method 2 of Compare the whole numbers.

The quickest way to order decimals is to look at their whole numbers. If one whole number is greater than or less than the others, you know the decimal is greater than or less than the others.

For example, if you are comparing Since 13 is less than 14, you know that Determine the first place value where the digits differ. Moving from left-to-right, compare the digits in each place value. Noting where the numbers differ will help you set up your number line. Determine the two fractional numbers the decimals fall between. These will be the first and last numbers you label on your number line. To find these numbers, look to the last place value where the numbers shared the same digit.

This will be the first number on your number line. To find the last number, add 1 to the last place value the numbers shared. For example, since the last place value where Determine the last number by adding 1 to the hundredths place. So, the last number on the number line is Divide the number line into tenths.

Since each new place value increases or decreases by a factor of 10, you should divide the line into tenths to represent the 10 smaller numbers that come between the first and last numbers on the number line. For example, between Plot the numbers you are comparing on the number line. If you labeled all the numbers on your number line, simply find the corresponding number and draw a dot. If you did not label, you will need to count the hash marks. If a number you are comparing does not fall directly on a labeled point of the number line, plot the number between two other numbers or hash marks.

Draw a dot on the second-to-last number to show Compare the location of each number on the number line. On a number line, numbers grow larger left-to-right.

So, the greatest number will be the farthest right on the number line, and the least number will be the farthest left on the number line. Write the numbers in order from least to greatest. The smallest number should be listed first, and the largest number should be listed last. The other numbers should be listed between these two, in ascending order. You can also use the less than sign to show their relationship: Method 3 of Locate the decimal symbol.

A decimal symbol looks like a dot or period. In Europe, the decimal symbol looks like a comma. It separates the number into its whole and fractional parts. The digits to the right of the decimal symbol represent fractional numbers. For example, if you have the decimal Learn place values for whole numbers. Place value indicates the value of a digit. A digit can have a different value, depending on where it is located in a number.

It has a value of 5 tens, or But in the number 50,, the digit 5 is in the ten-thousands place. It has a value of 5 ten-thousands, or 50, The smallest place value for whole numbers is the ones place. Once you have 10 ones, you exchange them for 1 ten. Thus, you have a 1 in the tens place, and a 0 in the ones place. Once you have 10 tens, you exchange them for 1 hundred.

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