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Comparing Numbers

# Comparing Numbers

The arrangement of numbers from the smallest to the greatest is called ascending order.

To view the complete lesson click the video below

• The arrangement of numbers from the smallest to the greatest is called ascending order.   Ex: 2789, 3560, 4567, 7662, 7665
• The arrangement of numbers from the greatest to the smallest is called descending order.  Ex: 7665, 7662, 4567, 3560, 2789
• If two numbers have an unequal number of digits, then the number with the greater number of digits is greater.
• If two numbers have an equal number of digits, then the number with the greater digit is greater.
• The greatest single-digit number is 9.  When we add 1 to this single-digit number, we get 10, which is the smallest two-digit number.  Therefore, the greatest single-digit number +1=the smallest two-digit number.
• The greatest two digit-number is 99. When we add 1 to this two-digit number, we get 100, which is the smallest three-digit number.  Therefore, the greatest two-digit number +1=the smallest three-digit number.
• The greatest three-digit number is 999.  When we add 1 to this three-digit number, we get 1000, which is the smallest four-digit number.  Therefore, the greatest three-digit number +1=the smallest four-digit number.
• The greatest four-digit number is 9999.  When we add 1 to this four-digit number, we get 10,000, which is the smallest five-digit number.  Therefore, the greatest four-digit number +1=the smallest five-digit number.
• The greatest five-digit number is 99999.  When we add 1 to this five-digit number, we get 1,00,000, which is the smallest six digit number.  Therefore, the greatest five-digit number +1=the smallest six-digit number.
The number, that is, one with five zeroes (100000), is called one lakh.
• The greatest six-digit number is 999999.  When we add 1 to this six-digit number, we get 10,00,000, which is the smallest seven-digit number.  Therefore, the greatest six-digit number +1=the smallest seven-digit number.
The number, that is, one with six zeroes (1000000), is called ten lakh.
• The greatest seven-digit number is 9999999.  When we add 1 to this seven-digit number, we get 10000000, which is the smallest eight-digit number.  Therefore, the greatest seven-digit number +1=the smallest eight-digit number.
The number, that is, one with seven zeroes (10000000),is called one crore.

• Commas are placed to the numbers to help us read and write large numbers easily.

### Commas in Indian numeration:

As per Indian numeration, the first comma is placed after the hundreds place. Commas are then placed after every two digits.
Ex: (i)   88,76,547

The number can be read as eighty-eight lakh seventy-six thousand five hundred and forty-seven.
(ii)5 , 67, 89, 056
The number can be read as five crore sixty-seven lakh eighty-nine thousand and fifty-six.
Use the following place value chart to identify the digit in any place in the Indian system.

 Crores Lakhs Thousands Ones Tens Ones Tens Ones Tens Ones Hundreds Tens Ones

### Commas in international system:

As per international numeration, the first comma is placed after the hundreds place. Commas are then placed after every three digits.
Ex: (i)   8,876,547
The number can be read as eight million eight hundred seventy-six thousand five hundred and forty-seven.
(ii)56,789, 056
The number can be read as fifty-six million seven hundred eighty-nine thousand and fifty-six.

 Billions Millions Thousands Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones Hundreds Tens Ones
• Use the following place value chart to identify the digit in any place in the international system.

### Comparison of the Indian and the international numeration systems:

 Indian Numeration Crore Ten Lakh Lakh Ten Thousand Thousand Hundred Tens Ones Numbers 10000000 1000000 100000 10000 1000 100 10 0 International Numeration Ten Million Million Hundred Thousand Ten Thousand Thousand Hundred Tens Ones

Units of measurement:

• 1 metre=100  centimetres
• 1 kilogram = 1,000 grams
• 1 kilometre = 1000 metres
• 1 litre=1,000 millilitres