TOPIC : LARGE NUMBERS
COMPARISON OF NUMBERS
The rules to compare the numbers are as follows:
• If two numbers with different number of digits are given, then the number which has more digits is the greater of the two. Example - 7983 > 62634
(4 digits) (5 digits)
• If the two numbers have the same number of digits, start comparing the digits from the extreme left place of the numbers. The number having the greater digit on the extreme left is greater. Example- 54326 < 63258 (since 6 > 5)
• If the digits on the extreme left place of both numbers are the same, then compare the second digit from the left.The number having the greater digit in this place is greater. Example- 93245 < 96643 (since 3<6)
• If the two digits from the extreme left of both the numbers are the same, then we compare the third digit from the left of the number and so on. Example- 32479 > 32469 (since 7 > 6)
FORMATION OF GREATEST AND SMALLEST NUMBERS
We can use the above rules to write the greatest or the smallest number formed by any given digits. Example- To form the greatest number from 8,4,9,3and2 , start with the greatest digit. The next greatest digit is placed on its right and so on, till all the digits are used up. Here , we have 9>8>4>3>2. So the greatest number formed is 98432.
To form the smallest number , start with the smallest digit. Then comes the next greatest digit to its right, and so on. Here, the smallest number is 23489.
ROUNDING OFF THE NUMBERS
1) ROUNDING OFF TO THE NEAREST TEN
Consider the number 28. 28 lies between 20 and 30 . It is nearer to 30 than to 20. So we round it off to 30. Consider another number 2185. 2185 lies between 2180 and 2190. It lies midway between 2180 and 2190. It is rounded up to 2190.
2) ROUNDING OFF TO THE NEAREST HUNDRED
Consider the number 2436. 2436 lies between 2400 and 2500. So, we round it off to 2400.
3) ROUNDING OFF TO THE NEAREST THOUSAND
Consider the number 2438. It lies between 2000 and 3000. So, we round it off to 2000.
Solve the following:
1) Put the sign > ,< or = in the blanks:
a) 10037 _______ 10038
b) 5909801 _____ 5907801
c) 120101 _____ _ 120101
d) 5428002 _____ 5482002
Answer : a) < b) > c) = d) <
2) Arrange the following numbers in ascending order:
a) 29500, 92100, 92010, 29050
b) 13019, 19031, 11901, 9031
Answer : a) 29050 < 29500 < 92010 < 92100
b) 9031 < 11901 < 13019 < 19031
3) Arrange the following numbers in descending order:
a) 7777, 77770, 70007, 7007
b) 718906, 7718906, 719806, 7781906
Answer : a)77770 > 70007 > 7777 > 7007
b) 7781906 > 7718906 > 719806 > 718906
4) Find the smallest and the greatest number in each group:
a) 2131, 2311, 3112, 2113 b) 31265, 41626, 14265, 24166
Answer : Greatest number Smallest number
a) 3112 2113
b) 41626 14265
5) Write the greatest number using the digits 4,0,9,8 and 2.
Answer : 98420
6) Write the smallest 4-digit number using the digits 9,0,7 and repeating 7 two times.
Answer : 7079
7) Write the greatest 5-digit number using all the following digits. Digits can be repeated.
a) 3,4,1,7,8
b) 5,0,3,8
c) 2,1,7
Answer : a) 87431
b) 88530
c) 77721
8) Write the smallest 5-digit number:
a) using one digit only.
b) using different digits.
c) using different digits with 2 in the tens place.
Answer : a) 11111
b) 10234
c) 10324
9) Round off the following numbers to the nearest ten:
a) 165
b) 58
c) 81
Answer : a) 170
b) 60
c) 80
10) Round off the following numbers to the nearest hundred:
a) 1289
b) 435
c) 1561
Answer : a) 1300
b) 400
c) 1600
11) Round off the following numbers to the nearest thousand:
a) 14546
b) 48032
c) 36705
Answer : a) 15000
b) 48000
c) 37000
Q.NO:01 MCQ
(i) The Roman numeral for (24 + 5) is __________
(a) XXVIII (b) XXIX (c) XXX (d) XXV
(ii) The greatest 8-digit number using the digits 5, 0, 6, 3, 1, 7, 2 is __________
(a) 7,76,53,210 (b) 7,65,32,100 (c) 1,12,35,670 (d) 1,23,56,700
(iii) The numeral for Seventy six million four hundred three thousand eleven is ___________
(a) 76, 43, 011 (b) 76, 430, 110 (c) 76, 043, 011 (d) 76, 403, 011
(iv) The place value of 6 in 45, 03, 61, 508 is ____________
(a) 6 (b) 60, 00, 000 (c) 60, 000 (d) 6, 00, 00, 000
(v) The predecessor of the greatest 8-digit even number is _________
(a) 9,99,99,998 (b) 9,99,99,999 (c) 9,99,99,997 (d) 10, 00, 00, 000
FILL IN THE BLANKS ANSWER
(vi) The expanded form of 9405301 in international system is ________________________
(vii) The sum of the place values of 7 in 67, 17, 568 is _________________
(viii) The Hindu Arabic numeral for LXIII is ______________
(ix) (56737 – 428) rounded to nearest 100 is ___________
(x) 603, 456, 015 is the successor of _______________
MATCH THE FOLLOWING
COLUMN A COLUMN B
(xi) 1000 less than 56, 78, 614 (a) 3, 00, 000
(xii) Place value of 2 in 732, 104, 006 (b) 98,76,543
(xiii) 300 thousands (c) 56, 77, 614
(xiv) 48, 72, 716 rounded to nearest 1000 (d) 2, 000, 000
(xv) Greatest 7-digit number with different digits (e) 48, 73, 000
ANSWER THE FOLLOWING
2 Insert commas and write the number name of 86011572 in Indian system and International system of numeration.
Indian system 86011572
International system 86011572
3 Arrange in ascending order: 5, 657, 989 ; 5, 567, 689 ; 5, 756, 988 ; 5, 576, 869
Ans:
4 Arrange in descending order: 4, 12, 98, 109 ; 9, 12, 98, 019 ; 4, 21, 901 ; 4, 21, 89, 910
Ans:
5 Make the smallest and greatest 8-digit number using the digits 2, 8, 1, 5, 4, 3, 0, 7
Smallest 8-digit number: _________________
Greatest 8-digit number: _________________
6 Write the successor and predecessor of the greatest 7-digit number?
Successor of greatest 7-digit number: ________________
P0redecessor of greatest 7-digit number: ______________
7 Which is smaller? 4, 50, 63, 102 or 4, 00, 00, 000 + 50, 00, 000 + 60, 000 + 5,000 + 100 + 3
Ans:
8 Write the numbers and give its expanded form:
a) Sixty five crore fifty one lakh three thousand fifteen.
Number: _____________
Expanded form: _________________________________________________________
b) Fifty four million six hundred thirteen thousand nine.
Number: _______________
Expanded form: _
Please click on below link to download CBSE Class 5 Mathematics Large Numbers Worksheet Set A