The number that contains decimal point is called as decimals. Decimal symbol is a point or a dot (.). For example 3.4, in this case the number contains a point or dot. Therefore, it is called as a decimals. Ordering decimals means here we have to order least decimals to greatest decimals.

The operation of decimals is same as the operation of normal numbers.

The ordering decimals means here we have to write in orders.

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The steps of ordering decimals from least to greatest are as follows,

1) Start by ordering only the tenth place. The digit immediately to the right of the ,

decimal point. Group the 0s then the 1s, 2s and so on until you rich the 9s.

2) Orders numbers with the same digit in the tenth place based on the hundred

place the next digit. Some numbers don't have a hundred place; pretend those

numbers have a 0 in the hundredths place.

3) Order number with the same digits in the tenths and hundredths places based on

the thousandths place-the third digit after the decimal point.

4) Continue ordering based on the ten-thousandths, hundred thousandths and

millionths places, and so on until you have ordered the entire list.

**Example:** Ordering decimal from least to greatest from the following table.

step 1) First, here we have to compare 7.8 and 7.2 these two numbers which one is

the smallest.here, 7.2 is the smallest number.

**Example 2:** Ordering decimals from least to greatest from the following table.

### Solved Examples

**Question 1: **Order these numbers from least to greatest
16, 15.95, 16.8 and 16.01

** Solution: **

Step 1) First, line up the decimal points

16

15.95

16.8

16.01

Step 2) Next Annex's zeros so that each number has the same number of decimal places.

16.00

15.95

16.80

16.01

Step 3) Finally, use the place value to compare the decimals. Always start from the left.

15.95

16.00

16.01

16.80

**Question 2: **Order these numbers from least to greatest
22, 15.95, 19.8 and 10.56

** Solution: **

Step 1) First, line up the decimal points

22

15.95

19.8

10.56

Step 2) Next Annex's zeros so that each number has the same number of decimal places.

22.00

15.95

19.80

10.56

Step 3) Finally, use the place value to compare the decimals. Always start from the left.

10.56

15.95

19.80

22.00

Decimals work in exactly the opposite direction of positive integers. Decimals do not have the place value of ones, so it starts at the place value of " tenths ". The place value of tens is the second smallest in positive integers but the place value " tenths" is the largest in decimals. When taking about decimals, always add the suffix " th " after the value.

To put decimals in order first look up at the whole number. If that number is different we just follow our rules for ordering whole numbers.

Least to greatest : millionths, hundred thousandths, ten thousandths, ten thousandths, hundredths, tenths.

Greatest to least: tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionths.

**Example:** Ordering decimal least to greatest

**Example:** Ordering decimals from greatest to least

1) Start by ordering only the tenth place. The digit immediately to the right of the ,

decimal point. Group the 0s then the 1s, 2s and so on until you rich the 9s.

2) Orders numbers with the same digit in the tenth place based on the hundred

place the next digit. Some numbers don't have a hundred place; pretend those

numbers have a 0 in the hundredths place.

3) Order number with the same digits in the tenths and hundredths places based on

the thousandths place-the third digit after the decimal point.

4) Continue ordering based on the ten-thousandths, hundred thousandths and

millionths places, and so on until you have ordered the entire list.

step 1) First, here we have to compare 7.8 and 7.2 these two numbers which one is

the smallest.here, 7.2 is the smallest number.

Step 1) First, line up the decimal points

16

15.95

16.8

16.01

Step 2) Next Annex's zeros so that each number has the same number of decimal places.

16.00

15.95

16.80

16.01

Step 3) Finally, use the place value to compare the decimals. Always start from the left.

15.95

16.00

16.01

16.80

Step 1) First, line up the decimal points

22

15.95

19.8

10.56

Step 2) Next Annex's zeros so that each number has the same number of decimal places.

22.00

15.95

19.80

10.56

Step 3) Finally, use the place value to compare the decimals. Always start from the left.

10.56

15.95

19.80

22.00

Decimals work in exactly the opposite direction of positive integers. Decimals do not have the place value of ones, so it starts at the place value of " tenths ". The place value of tens is the second smallest in positive integers but the place value " tenths" is the largest in decimals. When taking about decimals, always add the suffix " th " after the value.

To put decimals in order first look up at the whole number. If that number is different we just follow our rules for ordering whole numbers.

Least to greatest : millionths, hundred thousandths, ten thousandths, ten thousandths, hundredths, tenths.

Greatest to least: tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionths.

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