# Math Assignment Help With Decimal Numbers Ordering

## 2.2 Ordering

The method of placing numbers in increasing or decreasing format is called ordering.

2.2.1 Ordering of number

Numbers are arranged in either Ascending order or Descending order. In case of Ascending order numbers are placed from lowest to highest. The number being the lowest is placed first and the higher number is placed.

For eg: if we asked to place 12, 5, 10, 4, and 3 in ascending order then,

3,4,5,10,12

Similarly, in Descending order numbers are placed from highest to lowest. The number having highest value is placed first and the lower valued number is placed

For eg: taking the similar example, if we are asked to place 12, 5, 10, 4, and 3 in descending order then,

12, 10, 5, 4, 3

2.2.2 Ordering of Decimals

Ordering of decimal is not same as of integers, it can be confusing sometimes. If you take two numbers

0.24 And 0.234

You may say 0.234 is greater than 0.24 as it contains more number of digits. But this is wrong.

0.24 is greater than 0.234. Now we will explain how.

Let us follow a stepwise method.

Take few decimal numbers, say,

0.235, 0.456, 0.237, 0.346, 1.765

Step1: First compare the digit at Units place of all the given decimal numbers. One of them has 1 and rest have 0. So 1.765 is the highest. Put it aside.

Step2: now compare the tenth place of the remaining decimal numbers that is,

0.235, 0.456, 0.237, 0.346

We see 2, 3, and 4 at tenth place, since 4 is greater of them therefore 0.456 is the next highest, the decimals left are

0.235, 0.237, 0.346

Comparing the tenth place again we find 0.346 is the next highest. Here we see two decimals having the same digit at tenth place that is, 2 so we will have to compare the hundredth place as well.

Step3: compare the hundredth place of the remaining two decimals that is,

0.235,0.237

Here digit at hundredth place is also same so compare the thousandth place, 7>5

Therefore 0.237 is the next highest and 0.237 is the lowest.

Hence the correct order is

1.765, 0.456, 0.346, 0.237, 0.235

Note: In decimal number system decimals must be from highest to lowest.

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