**Comparing and ordering numbers :**

We use number line to compare and order numbers.

That is, if we want to compare two numbers, first we have to locate the numbers on the number line and mark them.

The number which comes to the right of the other number is greater. The number which comes to the left of the other number is smaller.

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

**Example 1 : **

Compare the numbers 3 and 6

**Solution : **

Let us locate the two numbers 3 and 6 on a number line and mark them.

Here, 6 comes to the right of 3.

Therefore "6" is greater than "3"

And 3 comes to the left of 6.

Therefore "3" is smaller than "6"

**Example 2 :**

Compare the numbers 6 and 9

**Solution : **

Let us locate the two whole numbers 6 and 9 on a number line and mark them.

Here, 9 comes to the right of 6.

Therefore "9" is greater than "6"

And 6 comes to the left of 9.

Therefore "6" is smaller than "9"

**Question :**

Order the numbers 12, 5, 9, 6, 1, 3 from least to greatest.

**Solution : **

Let us locate the numbers 12, 5, 9, 6, 1, 3 on a number line and mark them.

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

Thus, we get

**1, 3, 5, 6, 9, 12**

**Problem 1 :**

In 2010, Sacramento, California, received 23 inches in annual precipitation. In 2011, the city received 17 inches in annual precipitation. In which year was there more precipitation ?

**Solution : **

Locate the two numbers 23 and 17 on a number line and mark them.

23 is to the right of 17 on the number line.

This means that 23 is greater than 17.

We can write the above situation in terms of inequality as 23 > 17.

17 is to the left of 23 on the number line.

This means that 17 is less than 23.

We can write the above situation in terms of inequality as 17 < 23.

There was more precipitation in 2010.

**Problem 2 :**

John recorded the following golf scores during his first week at a golf academy. In golf, a lower score beats a higher score.

Graph John’s scores on the number line, and then list the numbers in order from least to greatest.

**Solution :**

**Step 1 :**

Graph the scores on the number line.

**Step 2 :**

Read from left to right to list the scores in order from least to greatest.

The scores listed from least to greatest are

**0, 1, 3, 5, 6, 9, 12**

After having gone through the stuff given above, we hope that the students would have understood "Comparing and ordering numbers".

Apart from the stuff given above, if you want to know more about "Comparing and ordering numbers", please click here

Apart from the stuff "Comparing and ordering numbers" given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**