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Expanded Form and Short Form

Expanded form of a number is the sum of the place values of its digits.

To write the short form or standard form of an expanded number, write the face value of
each digit in the correct place.
Example 4: Write (a) 5,46,32,817 and (b) 23,40,28,762 in the expanded form.

Solution: (a) 5,46,32,817 = 5 crores + 4 ten lakhs + 6 lakhs + 3 ten thousands +
2 thousands + 8 hundreds + 1 ten + 7 ones

= 5,00,00,000 + 40,00,000 + 6,00,000 + 30,000 + 2,000 +
800 + 10 + 7
(b) 23,40,28,762 = 2 ten crores + 3 crores + 4 ten lakhs + 2 ten thousands +
8 thousands + 7 hundreds + 6 tens + 2 ones
= 20,00,00,000 + 3,00,00,000 + 40,00,000 + 20,000 +
8,000 + 700 + 60 + 2

Example 5: Express (a) 4 crores + 2 ten lakhs + 3 lakhs + 4 ten thousands + 1 thousand +
5 tens + 4 ones and (b) 8,00,00,000 + 40,00,000 + 40,000 + 200 + 70 + 3 in
the short form.

Solution: (a) 4,23,41,054 (b) 8,40,40,273

EXERCISE 1.1

1. Write numbers for the given number names. Then draw a place value chart and write
them in it.
(a) Five crore thirty-two lakh fifty thousand three hundred four

(b) Thirty-one crore two lakh twenty-one thousand five hundred six
(c) Four crore five lakh seventy-one thousand two hundred five
(d) Forty crore twenty-seven lakh two thousand six hundred eighty-three

(e) Eighty-two lakh forty thousand five hundred four
2. Put commas to separate the periods and write the number names

Numbers with
Numbers Number names
commas

(a) 40530217
(b) 132305604

(c) 81754008

(d) 8532562

(e) 30852650

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