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EXAMPLE 2. Given below are the numerals
(i) 75624908 and (ii) 853172069.
PRACTICE EXERCISE
Put them in the place-value chart. Write them in words. Put each one of them in the expanded form.

1. Write the smallest five-digit numbers with the given digits, using each digit only once. Solution The new place-value chart is given below.
(a) 4, 9,8, 7,2 (b) 1, 3, 5, 9, 7 (c) 6, 8, 3, 4, 2 PERIOD Crores Lakhs Thousands Ones

2. Write the largest five-digit numbers with the given digits, using each digit only once. Ten Crores Ten Lakhs Ten Thousands Hundreds Tens ones
(a) 1 , 3, 5, 9, 7 (b) 4,9,8, 7,2 (c) 6, 8, 3, 4, 2 crores Lakhs Thousands

3. Write the successor of each of the following numbers. (i) 7 5 6 2 4 9 0 8
(a) 24,781 (b) 52,789 (c) 98,700 (ii) 8 5 3 1 7 2 0 6 9

4. Write the predecessor of each of the following numbers.
(a) 98,700 (b) 24,781 (c)52,789 (i) The given numeral is 75624908.
It is seven crorefifty - six lakh twenty:four thousand nine hundred eight. Its expanded form is:
5. Write the following numbers in ascending order. 75624908 = (7 × 10000000) + (5 × 1000000) + (6 × 100000) + (2 × 10000)
(a) 62,345 (b) 24,789 (c) 22,199 + (4 × 1000) + (9 × 100) + (0 × 10) + (8 × 1).
(d) 98,912 (e) 56,482 (ii) The given numeral is 853172069.
It is eighty : five crore thirty-one lakh seventy-two thousand sixty-nine.
6. Write the following numbers in descending order. Its expanded form is:
(a) 12,345 (b) 23,45 1 (c) 54,321 45 ,123 31,245 853172069 = (8 × 100000000) + (5 × 10000000) + (3 × 1000000) + (1 × 100000)

+ (7 × 10000) + (2 × 1000) + (0 × 100) + (6 × 10) + (9 × 1).
7. Write the following numbers in the expanded form.
(a) 96,720 (b) 81,945 (c) 65,483
INTERNATIONAL SYSTEM OF NUMERATION
8. Write the following expanded forms in the standard form. In the international system of numeration adopted by all the countries throughout the world, the place-value
(a) 80,000 + 7,000 + 500 + 40 + 2 chart is as follows.
(b) 10,000 + 5,000 + 600 + 30 + 9
(c) 60,000 + 9,000 + 300 + 20 + 7 PERIOD Billions Millions Thousands Ones
Ten Billions Hundred Ten Mil- Hundred Ten Thousands Hun- Tens Ones
9. Write the place value and face value of the underlined digits in the following numbers. Billions Millions Millions lions Thousands Thousands dreds

(a) 48,713 Place value 3 4 1 2 5 6 8 0
Face value
(b) 47,192 Place value TC C TL L TTh Th H T 0
Face value
(c) ZB,963 Place value COMPARISON OF NUMBERS
Face value
In order to compare two numbers, we adopt the following rules.
10. Answer the following questions in the space provided. Rule 1. The number with less digits is less than the number with more digits.
(a) Which is the largest one-digit number? Rule 2. Suppose we have to compare two numbers having the same number of digits,
(b) Which is the smallest two-digit number? then we proceed as under.
(c) Which is the smallest three-digit number? Step 1. First compare the digits at the leftmost place in both the numbers.
(d) Which is the largest four-digit number? Step 2. If they are equal in value then compare the second digits from the left.
(e) Which is the smallest five-digit m:mber? Step 3. If the second digits from the left are equal then compare the third digits from the left.
(f) Add the five numbers that you have obtained. Step 4. Continue until you come across unequal digits at the corresponding places. Clearly, the
(g) Write the addendum answer in words. number with greater such digit is the greater of the two.
The following examples will make the ideas more clear.