COMPARE WHOLE NUMBERS

The set of all non negative integers is whole numbers.

That is,

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

We can use number line to compare two whole numbers. To compare two whole 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.

When we have larger numbers like 589 and 576, we can compare the given numbers by comparing the digits in hundreds place, tens place and one place.

Example 1 :

Compare the whole numbers 3 and 6.

Solution :

Let us locate the two whole 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 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.

Example 3 :

Compare the whole numbers 625 and 628 and find which one is greater.

Solution :

Since the given numbers are three digit numbers, instead of using number line, we can compare the given numbers by comparing the digits in hundreds place, tens place and ones place.

In 625 and 628, we have the same digit in hundreds place and tens place. So compare the digits in tens place.

The digit in one place of 625 is 5 and 628 is 8.

Since 8 is greater than 5, 628 is greater than 625.

Example 4 :

Compare the whole numbers 870 and 869 and find which one is greater.

Solution :

We can compare the given numbers by comparing the digits in hundreds place, tens place and ones place.

In 870 and 869, we have the same digit in hundred place.

The digit in tens place of 870 is 7 and 869 is 6.

Since 7 is greater than 6, 870 is greater than 869.

Example 5 :

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.

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