5 Mark Question

Question 15 Marks

Arrange the following numbers in descending order:
199988, 1704382, 200175, 1702497, 201200, 1712040

Answer

1712040, 1704382 and 1702497 are all 7-digit numbers.
The three numbers have the same digits, namely 1 and 7, at the ten lakhs and lakhs places, respectively.
However, the digits at the ten thousands place in 1712040, 1704382 and 1702497 are 1, 0 and 0.
$\therefore$ 1712040 is the largest.
Of the other two numbers, the respective digits at the thousands place are 4 and 2.
Clearly, 4 > 2
$\therefore$ 1704382 > 1702497
201200, 200175 and 199988 are all 6-digit numbers.
At the lakhs place, we have 2 > 1.
So, 199988 is the smallest of the three numbers.
The other two numbers have the same digits, namely 2 and 0, at the lakhs and ten thousands places, respectively.
However, the digits at the thousands place in 201200 and 200175 are 1 and 0, respectively.
Clearly, 1 > 0
$\therefore$ 201200 > 200175
The given numbers in descending order are:
1712040 > 1704382 > 1702497 > 201200 > 200175 > 199988

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Question 25 Marks

Rewrite each of the following numerals with proper commas, using the international place-value chart.
Also, write the number name in the international system.

735821
6057894
56943821
37502093
89350064
9070300

Answer

Representation of the numbers on the international place-value chart:

Periods	Millions			Thousands			Ones
Place	Hundred millions	Ten millions	Millions	Hundred thousands	Ten thousands	Thousands	Hundreds	Tens	Ones
Place	HM	TM	M	H Th	T Th	Th	H	T	O
(i)				7	3	5	8	2	1
(ii)			6	0	5	7	8	9	4
(iii)		5	6	9	4	3	8	2	1
(iv)		3	7	5	0	2	0	9	3
(v)		8	9	3	5	0	0	6	4
(vi)		9	0	7	0	3	0	0	6
		Crore	Ten lakhs	Lakhs	Ten Thousand	Thousand	Hundred	Tens	Ones

The number names of the given numbers in the international system:

735,821 = Seven hundred thirty-five thousand eight hundred twenty-one.
6,057,894 = Six million fifty-seven thousand eight hundred ninety-four.
56,943,821 = Fifty-six million nine hundred forty-three thousand eight hundred twenty-one.
37,502,093 = Thirty-seven million five hundred two thousand ninety-three.
89,350,064 = Eighty-nine millions three hundred fifty thousand sixty-four.
90,703,006 = Ninety million seven hundred three thousand and six.

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Question 35 Marks

Arrange the following numbers in descending order:
190909, 1808088, 16060666, 16007777, 181888, 1808090

Answer

16060666 and 16007777 are both 8-digit numbers.
Both the numbers have the same digits, namely 1, 6 and 0, at the crores, ten lakhs and lakhs places, respectively.
However, the digits at the ten thousands place in 16060666 and 16007777 are 6 and 0, respectively.
Clearly, 6 > 0
$\therefore$ 16060666 > 16007777
1808090 and 1808088 are both 7-digit numbers.
Both the numbers have the same digits, namely 1, 8, 0, 8 and 0, at the ten lakhs, lakhs, ten thousands, thousands and hundreds places, respectively.
However, the digits at the tens place in 1808090 and 1808088 are 9 and 8, respectively.
Clearly, 9 > 8
$\therefore$ 1808090 > 1808088
190909 and 181888 are both 6-digit numbers.
Both the numbers have the same digit, 1, at the lakhs place.
However, the digits at the ten thousands place in 190909 and 181888 are 9 and 8, respectively.
Clearly, 9 > 8
$\therefore$ 190909 > 181888
Thus, the given numbers in descending order are:
16060666 > 16007777 > 1808090 > 1808088 >190909 > 181888

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Question 45 Marks

Write each of the following as a Hindu-Arabic numeral:

S.No.	Roman numeral
i	XXVII
ii	XXXIV
iii	XLV
iv	LIV
v	LXXIV
vi	XCI
vii	XCVI
viii	CXI
ix	CLIV
x	CCXXIV
xi	CCCLXV
xii	CDXIV
xiii	CDLXIV
xiv	DVI
xv	DCCLXVI

Answer

We can write the given Roman numerrals in Hindu-Arabic numerals as follows:

S.No.	Roman numeral	Hindu-Arabic
i	XXVII	27
ii	XXXIV	34
iii	XLV	45
iv	LIV	54
v	LXXIV	74
vi	XCI	91
vii	XCVI	96
viii	CXI	111
ix	CLIV	154
x	CCXXIV	224
xi	CCCLXV	365
xii	CDXIV	414
xiii	CDLXIV	464
xiv	DVI	506
xv	DCCLXVI	766

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Question 55 Marks

Express each of the following as a Roman numeral:

S.No.	Numerical
i	2
ii	8
iii	14
iv	29
v	36
vi	43
vii	54
viii	61
ix	73
x	81
xi	91
xii	95
xiii	99
xiv	105
xv	114

Answer

We may write these numbers as given below:

S.No.	Numerical	Roman numeral
i	2	II
ii	8	VIII
iii	14	XIV
iv	29	XXIX
v	36	XXXVI
vi	43	XLIII
vii	54	LIV
viii	61	LXI
ix	73	LXXIII
x	81	LXXXI
xi	91	XCI
xii	95	XCV
xiii	99	XCIX
xiv	105	CV
xv	114	CXIV

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