**Ordering integers fractions and decimals :**

In Math, we use different methods to order integers, fractions and decimals.

Once we understand the methods, we can easily order integers, fractions and decimals.

Let us see the method to order integers.

**To order the integers, we have to locate the given integers on the number line and mark them. Then, write the integers from left to right to list them in order from least to greatest. **

**Let us look at an example to understand "Ordering integers". **

**Example :**

Order the integers -2, -5, 4, 0, -3, -1, 3 from least to greatest.

**Solution : **

Let us locate the integers -2, -5, 4, 0, -3, -1, 3 on a number line and mark them.

From the above number line, write the integers from left to right to list them in order from least to greatest.

Thus, we get

**-5, -3, -2, -1, 0, 3, 4**

To order the fractions, we have to make them to be like fractions and then order the fractions according to the numerators.

Like fractions are nothing but the fractions which are having the same denominator.

Let us look at an example to understand "ordering fractions"

**Example :**

Order the fractions from least to greatest 3/4, 2/5, 1/8

**Solution :**

Since the denominators are different then we have to Convert these fractions to equivalent fractions with a common denominator in order to compare them

LCM of (4,5 and 8) = 40

Now we have to make each fraction with the common denominator 40.

Multiply both numerator and denominator of the first fraction by **10**

Multiply both numerator and denominator of the second fraction by **8**

Multiply both numerator and denominator of the third fraction by **5**

Now we can compare the fraction and order the fraction from least to greatest

So the answer is (1/8) < (2/5) < (3/4)

Let us look at an example to understand "Ordering decimals"

**Example :**

Order the decimal numbers 0.098, 0.123 and 0.985 from least to greatest.

**Solution :**

To order the given decimal numbers, first we have to write them in a table as given below.

To get the least one , compare the numbers in the first column (Units).

We get "0" in all the three decimal numbers in the first column.

So, let us move to the third column (Tenths) and compare the numbers.

In third column, we get "0" in 0.098.

Therefore, 0.098 is the least among the given decimal numbers.

In the same third column, we get "1" in 0.123.

This is the next least decimal number.

Therefore, the order of the given decimals from least to greatest is

0.098, 0.123, 0.985

**Note : **

In the third column also, if you get the same number in all the three decimal numbers, compare the numbers in the fourth column (Hundredths column) and so on.

After having gone through the stuff given above, we hope that the students would have understood "Ordering integers fractions and decimals".

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