# COMPARE WHOLE NUMBERS

Compare whole numbers :

To compare two values that are not the same, we can write an inequality.

Usually we follow the below two methods to compare whole numbers

(i) Number line

(ii) Place value

Inequalities can be expressed using greater than (>) or less than (<) symbols.

The set of all non negative integers is whole numbers.

That is,

W  =  { 0, 1, 2, 3, 4, .........................}

• 0 is less than 1
• 1 is greater than 0 but lesser than 2, 3, 4,..............
• 2 is greater than 0 and 1 but lesser than 3, 4, 5..........
• So the next number is greater than its preceding numbers and lesser than its successive numbers
• A number which is having more number of digits is greater.

## Compare 2 digit numbers

We can compare numbers by comparing their place value.

Every two digit numbers must have two places

(i) Tens place

(ii) Unit place

Let us see an example problem to understand how to compare two whole numbers.

## Comparing whole numbers - Examples

Example 1 :

Determine whether 61 is greater than or less than 60.Then write the expression that shows this using < or >.

Solution :

Example 2 :

Determine whether 52 is greater than or less than 36.Then write the expression that shows this using < or >.

Solution :

Example 3 :

Determine whether 55 is greater than or less than 53.Then write the expression that shows this using < or >.

Solution :

## Compare 3 digit numbers

We can compare numbers by comparing their place value.

Every three digit numbers must have three places

(i) Hundreds place

(ii) Tens place

(ii) Unit place

Let us see an example problem to understand how to compare two whole numbers.

Example 4 :

Determine whether 545 is greater than or less than 534.Then write the expression that shows this using < or >.

Solution :

Example 5 :

Determine whether 693 is greater than or less than 792.Then write the expression that shows this using < or >.

Solution :

Example 6 :

Compare the whole 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"

## Ordering whole numbers - Example

Example 7 :

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

Solution :

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

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

Thus, we get

1, 3, 5, 6, 9, 12

## Comparing and ordering whole numbers - Real world problems

Example 8 :

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 whole 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.

Example 9 :

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 "Compare whole numbers".

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

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