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Question 13 Marks
Arrange the following numbers in descending order:
54796203, 4675238, 63240613, 5125648, 589623
Answer
63240613 and 54796203 are both eight-digit numbers.
At the crores place, one number has 6, while the second number has 5.
Clearly, 5 < 6
$\therefore$ 63240613 > 54796203
5125648 and 4675238 are both seven-digit numbers.
However, at the ten lakhs place, one number has 5, while the second number has 4.
Clearly, 4 < 5
$\therefore$ 5125648 > 4675238
589623 is a six-digit number.
The given numbers in descending order are:
63240613 > 54796203 > 5125648 > 4675238 > 589623
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Question 23 Marks
Write the Hindu-Arabic numeral for each of the following:
S.No. Roman numeral
i CCXLII
ii CDLXV
iii LXXVI
iv DCCXLI
v XCIV
vi CXCIX
Answer
S.No. Roman numeral Hindu-Arabic
i CCXLII CCXLII = 100 + 100 + (50 - 10) + 2 = 242
ii CDLXV CDLXV = (500 - 100) + 50 + 10 + 5 = 465
iii LXXVI LXXVI = 50 + 10 + 10 + 6 = 76
iv DCCXLI DCCXLI = 500 + 100 + 100 + (50 - 10) + 1 = 741
v XCIV XCIV = (100 - 10) + 4 = 94
vi CXCIX CXCIX = 100 + (100 - 10) + 9 = 199
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Question 33 Marks
Write the largest and smallest numbes using each of the digits 1, 4, 6, 8, 0 only once and find their difference.
Answer
The largest number using each of the digits: 1, 4, 6, 8 and 0, is 86410.
The smallest number using each of the digits: 1, 4, 6, 8 and 0, is 10468.
$\therefore$ Required difference = 86410 - 10468
= 75942
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Question 43 Marks
Arrange the following numbers in ascending order:
700087, 8014257, 8015032, 10012458, 8014306
Answer
700087 is 6-digit number.
8014257, 8014306 and 8015032 are all 7-digit numbers.
They have the same digits, namely 8, 0 and 1, at the ten lakhs, lakhs and ten thousands places, respectively.
But, at the thousands place, one number has 5 while the other two numbers have 4.
Here, 801503 is the largest.
The other two numbers have 2 and 3 at their hundreds places.
Clearly, 2 < 3
$\therefore$ 8014306 < 8015032
10012458 is an 8-digit number.
The given numbers in ascending order are:
700087 < 8014257 < 8014306 < 8015032 < 10012458
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Question 53 Marks
Arrange the following numbers in ascending order:
3903216, 19430124, 864572, 6940513, 16531079
Answer
We have,
864572 is a 6-digit number.
3903216 and 6940513 are seven-digit numbers.
At the ten lakhs place, one number has 3, while the second number has 6.
Clearly, 3 < 6
$\therefore$ 3903216 < 6940513
16531079 and 19430124 are eight-digit numbers.
At the crores place, both the numbers have the same digit, namely 1.
At the ten lakhs place, one number has 6, while the second number has 9.
Clearly, 6 < 9
$\therefore$ 16531079 < 19430124
The given numbers in ascending order are:
864572 < 3903216 < 6940513 < 16531079 < 19430124
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Question 63 Marks
How many 7-digit numbers are there in all?
Answer
The largest seven-digit number = 9999999
The smallest seven-digit number = 1000000
Number of all seven-digits numbers = (9999999 - 1000000) + 1
= 899999 + 1
= 9000000
Hence, there is a total of ninety lakh 7-digit numbers.
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Question 73 Marks
Write the Roman numeral for each of the following:
S.No.
Numerical
i
84
ii
99
iii
145
iv
406
v
519
Answer
S.No.
Numerical
Roman numeral
i
84
84 = 50 + 30 + 4 = LXXXIV
ii
99
99 = 90 + 9 = XCIX
iii
145
145 = 100 + (50 - 10) + 5 = CXLV
iv
406
406 = 400 + 6 = CDVI
v
519
519 = 500 +10 + 9 = DXIX
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Question 83 Marks
Write each of the following in figures in the international place-value chart:
  1. Thirty million one hundred five thousand sixty-three.
  2. Fifty-two million two hundred five thousand six.
  3. Five million five thousand five.
Answer
Periods
Millions
Thousands
Ones
Place
Hundred millions
Ten millions
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones
HM
TM
M
H Th
T Th
Th
H
T
O
(i)
 
3
0
1
0
5
0
6
3
(ii)
 
5
2
2
0
5
0
0
6
(iii)
 
 
5
0
0
5
0
0
5
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