# Mathematics - Class 4 / Grade 4

- Comparing and Ordering of Numbers
### Comparing and Ordering of Numbers

Math– Class 4/Grade4 – CBSE – Chapter - Comparing and Ordering of Numbers–Questions and Answers/Notes/Worksheets PDF, Tags: Free Worksheet PDF on Comparing and Ordering Numbers for fourth grade, Lesson on Comparing and Ordering large numbers for class IV, Comparing and Ordering free downloadable worksheets PDF for class 4, Practice Page on comparing and ordering for 4rth standard, Quiz on comparing and ordering. Rewrite in ascending order, Rewrite in descending order, Put <, > or =, What is the meaning of ordering numbers? What is decreasing order? How do you compare and order numbers? What is ascending order? How do you put numbers in order from least to greatest?Comparing and Ordering of Numbers

Condition 1: Numbers having different number of digits

The numbers having less number of digits are always smaller than the numbers having more number of digits

Example

54,000 < 1,58,000

2,78,900 > 56,000

Condition 2: Numbers having same number of digits

If both the numbers have the same numbers of digits, then we comparing the digits from the extreme left to find the first place where they differ.

Example 1: Compare 42567 and 55567

First compare the digits in ten thousands place.

Here digits differ, 4 and 5 are in ten thousands place and 5 > 4. Hence 42567 < 55567

Example 2: Compare 14467 and 15567

Both numbers have the same digit in ten thousands place. Hence we compare the digits in thousands place.

4 and 5 are in thousands place and 5 > 4. Hence 14467 < 15567

Example 3: Compare 14467 and 14457

Numbers have same digit in ten thousands, thousands and hundreds place. Hence we compare the digits in tens place.

6 and 5 are in the tens place and 6 > 5. Hence 14467 > 14457

Example 4: Compare 14457 and 14452

Numbers have same digit in ten thousands, thousands, hundreds and tens place. Hence we compare the digits in ones place.

7 and 2 are in the ones place and 7 > 2. Hence 14457 >14452.

Example 5: Compare 14567 and 14567

Both numbers have the same digits in all the places. Hence, both numbers are equal.

Ordering of numbers

__Ascending Orders / Increasing Orders__Arranging the numbers from smallest to the greatest is known as increasing order or ascending order.

__Descending Orders / Decreasing Orders__Arranging the numbers from greatest to the smallest is known as decreasing order or descending order.

Example 1: Arrange the following numbers in the ascending and descending orders.

61478, 50478, 65790, 94090

__Ascending Orders__Writing from the smallest number to the greatest number

50478 < 61478 < 65790 < 94090

__Descending Orders__Writing from greatest number to the smallest number

94090 > 65790 > 61478 > 50478

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