Numbers

Successor and Predecessor:-

· When 1 is subtracted from a number we get its Predecessor.

· When 1 is added from a number we get its Successor.

Formation of large numbers:

Place value system:-

For example, 1000 = 100 times 10, or One Thousand has “hundred tens” in it.

Place value chart:-

The ones place can be represented by the letter ‘O’, tens place by ‘T’, hundreds place by ‘H’, thousands place by ‘Th’, ten thousands place by ‘T Th’, lakhs place by ‘L’ , ten lakhs place by ‘T L’, crores place by ‘C’ and ten crores by ‘T C’.

By using the indicators or the periods, it is easy to read and write 359468421 as

Place Value of digits in Large Numbers:-

Every digit of a number has a place value which gives the value of the digit.

Finding the place value of all the digits in 9847056

The Place value of 6 is 6 × 1 = 6 (Six)

The Place value of 5 is 5 × 10 = 50 (Fifty)

The Place value of 0 is 0 × 100 = 0 (Zero)

The Place value of 7 is 7 × 1000 = 7000 (Seven Thousand)

The Place value of 4 is 4 × 10000 = 40000 (Forty Thousand)

The Place value of 8 is 8 × 100000 = 800000 (Eight Lakh)

The Place value of 9 is 9 × 1000000 = 9000000 (Ninety Lakh)

Hence, the number 9847056 is read as Ninety Eight Lakh Forty Seven Thousand Fifty Six.

Use of commas and Comparison of Number Systems:-

· In Indian System of Numeration, we use commas from the right.

· The first comma comes before Hundreds place (3 digits from the right).

· The second comma comes before Ten Thousands place (5 digits from the right).

· The third comma comes before Ten Lakh place (7 digits from the right) and represents Core.

o In the International System of Numeration, we use Ones, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands, Millions and Billions.

o Commas are used to mark Thousands, Millions and Billions

Number 57340000 can be written

Ø In Indian system as 5 , 73 , 40 , 000 (five core seventy three lakh forty thousand)

Ø In International system as 57 , 340 , 000 (fifty seven million, three hundred forty thousand)