Question 1: Write the number name for each of the following numbers :
(a) 38,946
(b) 2,90,534
(c) 4,59,861
 Thirtyeight thousand, nine hundred forty six.
 Two lakh, ninety thousand, five hundred thirtyfour.
 Four lakh, fifty nine thousand, eight hundred sixtyone
Note: The plural for the period is not written. For example, instead of writing six lakhs, forty thousands, two hundreds, we write six lakh, forty thousand, two hundred.
Question 2: Find the facevalue of:
(a) 2 in 1,95,263
(b) 5 in 25,134
(c) 8 in 1,63,548
(d) 6 in 60,053
(a) Facevalue of 2 in 1,95,263 is 2.
(b) Facevalue of 5 in 25,134 is 5.
(c) Facevalue of 8 in 1,63,548 is 8.
(d) Facevalue of 6 in 60,053 is 6.
Question 3: Which is greater?
(a) 2,537 or 51,693
(b) 5,12,964 or 291
(c) 1,56,201 or 27,193
(a) 2,537 has 4 digits and 51 ,693 has 5 digits.
So, 51,693 is greater than 2,537 or 51,693 > 2,537.
(b) 5,12,964 has 6 digits and 291 has 3 digits.
So, 5,12,964 is greater than 291 or 5,12,964 > 291.
(c) 1, 56,201 has 6 digits and 27,193 has 5 digits.
So, 1,56,201 is greater than 27,193 or 1,56,201 > 27,193.
Question 4: Write the number 'two lakh, five thousand, one hundred twentyfour' in figures.
We proceed as follows:
Step 1: Make three periods as shown.
The first period from right will have three parts, the second will have two parts and the third will have only one part.Step 2: Write all the lakhs in the first period from the left.
Step 3: Write all the thousands in the second period from the left. We fill all the parts. For example, if it is 5 thousand, we write 05.
Step 4: Write the hundreds, tens and ones in the third period from the left.
Question 5: Write the placevalue of 3 in each of the following numbers :
(a) 13,584 (b) 3,50,962 (c) 6,85,931 (d) 5,93,821
Arrange the digits of the numbers in the placevalue chart.
(a) Placevalue of 3 in 13,584= 3 x 1,000 = 3,000.
(b) Placevalue of 3 in 3,50,962= 3 x 1,00,000 = 3,00,000.
(c) Placevalue of 3 in 6,85,931 = 3 x 10 = 30.
(d) Placevalue of 3 in 5,93,821 = 3 x 1,000 = 3,000.
Question 6: Compare :
(a) 25,306 and 25,419
(b) 6,34,510 and 6,34,578
(a) Consider 25,306 and 25,419. Both are 5digit numbers.
We start from the leftmost digits. Here, 2 = 2.
Next, we compare the second digits from the left. Here, 5 = 5.
Next, we compare the third digits from the left. Here, 3 < 4
Thus, 25,306 < 25,419 or 25,419 > 25,306.
(b) Consider 6,34,510 and 6,34,578. Both are 6digit numbers.
Comparing the digits, we have
6 = 6 (leftmost digits)
3 = 3 (second digits from the left)
4 = 4 (third digits from the left)
5 = 5 (fourth digits from the left)
1 < 7 (fifth digits from the left)
Thus, 6,34,510 < 6,34,578 or 6,34,578 > 6,34,510.
Question 7: Write each of the following numbers in figures :
(a) Twelve thousand, five hundred twentyone.
(b) Fortyone thousand, two.
(c) Six lakh, thirtysix thousand, five hundred ten.
(d) Eight lakh, three thousand, fiftysix.
(a) Twelve thousand, five hundred twentyone.
(b) Fortyone thousand, two.
(c) Six lakh thirtysix thousand, five hundred ten.
(d) Eight lakh, three thousand, fiftysix.
Question 8 : Write the placevalue of 0 in the following numbers :
(a) 25,170
(b) 6,52,701
(c) 3,05,217
(a) In 25,170, 0 is at ones place, so its placevalue is 0 x 1 = 0.
(b) In 6,52, 701, 0 is at tens place, so its placevalue is 0 x 10 = 0.
(c) In 3,05,217, 0 is at ten thousands place, so its placevalue is 0 x 10,000 = 0.
Question 9: Arrange the following numbers in ascending order :
3,25,102; 5,65,101; 4,32,256; 7,41,212; 4,63,205
First we arrange the given numbers in a place value chart :
All the numbers have 6 digits. Comparing the digits at the lakhs place, we get 3 < 4 < 5 < 7.
Now we compare 4,32,256 and 4,63,205. Both these numbers have the same digits at the lakhs place. So, we compare the digits at the tenthousands place.
This digit is 3 in 4,32,256 and 6 in 4,63,205.
Since, 3 < 6, so, 4,32,256 < 4,63,205.
Thus, 3,25,102 < 4,32,256 < 4,63,205 < 5,65,101 < 7,41,212
Hence, the given numbers arranged in ascending order are :
3,25,102; 4,32,256; 4,63,205; 5,65,101; 7,41,212.Descending order means the numbers from the greatest to the smallest.
Question 10: Write the following numbers in expanded form : (a) 35,126 (b) 3,01,647 Solution :
Write the given numbers in the placevalue chart.
(a)
Thus, 35,126 = 30,000 + 5,000 + 100 + 20 + 6.
(b)
Thus, 3,01,647 =3 ,00,000 + 0 + 1,000 + 600 + 40 + 7
=3 ,00,000 + 1,000 + 600 + 40 + 7.
Question 11: Arrange the following numbers in descending order :
4,69,901; 90,618; 6,06,211; 5,58,690; 6,26,923
First we arrange the given numbers in a place value chart
90,618 is a 5digit number. All others are 6digit numbers.
So, 90,618 is the smallest number.
Comparing the digits at lakhs place, we get 6 > 5 > 4.
Now, we compare 6,06,211 and 6,26,923. Both the numbers have 6 at the lakhs place. So, we compare their digits at the tenthousands place.
This digit is 0 in 6,06,211 and 2 in 6,26,923.
So, 6,06,211 < 6,26,923.
Thus, 6,26,923 > 6,06,211 > 5,58,690 > 4,69,901 > 90,618.
Hence, the given numbers arranged in descending order are:
6,26,923; 6,06,211; 5,58,690; 4,69,901; 90,618.
Question 12: Find the successors of:
(a) 599
(b) 3,500
(c) 31,499
(a) Successor of 599 = 599 + 1 = 600.
(b) Successor of 3,500 = 3,500 + 1 = 3,501.
(c) Successor of 31,499 = 31,499 + 1 = 31,500.
Question 13: Write the smallest and the greatest 4digit numbers using all the digits 3, 6 and 5. You may repeat the digits.
The smallest 4digit number = 3,356
Note that here we repeated the smallest digit.
The greatest 4digit number= 6,653
Note that here we repeated the greatest digit.
Question 14: Find the predecessor of :
(a) 270
(b) 6,900
(c) 7,54,196
(a) Predecessor of 270 = 270 1 = 269.
(b) Predecessor of 6,900 = 6,900  1 = 6,899.
(c) Predecessor of 7,54,196 = 7,54,196 1 = 7,54,195.
Question 15: Write the smallest and the greatest 4digit number using two different digits.
Using two smallest digits are 0 and 1.
Then, the smallest 4digit number is 10 00.
Using two greatest digits are 9 and 8.
Then, the greatest 4digit number= 9998.
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1. What are prime numbers? 
2. How can you determine if a number is prime? 
3. What is a composite number? 
4. Can 1 be considered a prime number? 
5. How are prime numbers used in cryptography? 

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