Impressions All in One Semester 1 Maths

Initiative and Self-Direction
Let’s Connect
Complete the following:

1. The greatest 1-digit number is…….. and the greatest 2-digit number is……..
2. The smallest 3-digit number is…….. and the greatest 3-digit number is……..
3. The greatest 4-digit number is ……..and the smallest 4-digit number……..
4. The greatest 5-digit number is …….. and the smallest 5-digit number is……..
5. The greatest 6-digit number is…….. and the smallest 6-digit number is……..
6. 9999+ 1000 =
7. The successor of 99999 is
8. Write 675843 in words.
9. Write the expanded form of 456987.

Answer:-

1. The greatest 1-digit number is 9 and the greatest 2-digit number is 99.
2. The smallest 3-digit number is 100 and the greatest 3-digit number is 999.
3. The greatest 4-digit number is 9999 and the smallest 4-digit number is 1000.
4. The greatest 5-digit number is 99,999 and the smallest 5-digit number is 10,000.
5. The greatest 6-digit number is 999,999 and the smallest 6-digit number is 100,000.

6. 9999 + 1000 = 10999
7. The successor of 99999 is 100,000.

8. 675843 in words: Six hundred seventy-five thousand eight hundred forty-three.

6. Expanded form of 456987: 400000 + 50000 + 6000 + 900 + 80 7
   

Check your Understanding 1.1

1. Write the place value and face value of each of the digits in the following numbers.
   α. 213789601
   b. 3245216
   c. 20113789
   d. 98107654
2. Write the expanded form of the following numbers.
   α. 1245643
   b. 3106972
   c. 26752312
   e. 41957516
   f. 93706972
   g. 64675735
   h. 80103138

Answer:-

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Place Value and Face Value (Indian System)

a. 21,37,89,601

Digit	Place Value	Face Value
2	20,00,00,000 (20 Crore)	2
1	1,00,00,000 (1 Crore)	1
3	30,00,000 (30 Lakh)	3
7	7,00,000 (7 Lakh)	7
8	80,000	8
9	9,000	9
6	600	6
0	0	0
1	1	1

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b. 32,45,216

Digit	Place Value	Face Value
3	30,00,000 (30 Lakh)	3
2	2,00,000 (2 Lakh)	2
4	40,000	4
5	5,000	5
2	200	2
1	10	1
6	6	6

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c. 2,01,13,789

Digit	Place Value	Face Value
2	2,00,00,000 (2 Crore)	2
0	0	0
1	1,00,000 (1 Lakh)	1
1	10,000	1
3	3,000	3
7	700	7
8	80	8
9	9	9

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d. 9,81,07,654

Digit	Place Value	Face Value
9	9,00,00,000 (9 Crore)	9
8	80,00,000 (80 Lakh)	8
1	1,00,000 (1 Lakh)	1
0	0	0
7	7,0000 (70 Thousand)	7
6	6,000	6
5	50	5
4	4	4

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Expanded Form (Indian System)

Number	Expanded Form
12,45,643	10,00,000 + 2,00,000 + 40,000 + 5,000 + 600 + 40 + 3
31,06,972	30,00,000 + 1,00,000 + 6,000 + 900 + 70 + 2
2,67,52,312	2,00,00,000 + 60,00,000 + 7,00,000 + 50,000 + 2,000 + 300 + 10 + 2
4,19,57,516	4,00,00,000 + 10,00,000 + 9,00,000 + 50,000 + 7,000 + 500 + 10 + 6
9,37,06,972	9,00,00,000 + 30,00,000 + 7,00,000 + 6,000 + 900 + 70 + 2
6,16,79,733	6,00,00,000 + 10,00,000 + 6,00,000 + 70,000 + 9,000 + 700 + 30 + 3
8,01,09,136	8,00,00,000 + 0 + 1,00,000 + 9,000 + 100 + 30 + 6

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Check your Understanding 1.2

1. Find the successor of the following numbers.
   α. 7813523
   b. 6578234
   c. 6745789
   d. 9823456
   e. 6127858
   f. 72322566
   g. 93440560
   h. 84500569
2. Find the predecessor of the following numbers.
   α. 7013826
   b. 5278230
   c. 3945783
   d. 8823451
   e. 31278560
   F. 92322562
   g. 11440567
   h. 58500564

Answer:-

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Check Your Understanding 1.2

1. Successor (Number + 1)

Sr. No.	Number	Successor
a	78,13,523	78,13,524
b	65,78,234	65,78,235
c	67,45,789	67,45,790
d	98,23,456	98,23,457
e	61,27,858	61,27,859
f	7,23,22,566	7,23,22,567
g	9,34,40,560	9,34,40,561
h	8,45,00,569	8,45,00,570

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2. Predecessor (Number − 1)

Sr. No.	Number	Predecessor
a	70,13,826	70,13,825
b	52,78,230	52,78,229
c	39,45,783	39,45,782
d	88,23,451	88,23,450
e	3,12,78,560	3,12,78,559
f	9,23,22,562	9,23,22,561
g	1,14,40,567	1,14,40,566
h	5,85,00,564	5,85,00,563

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Check your Understanding 1.3

1. Write the number names of the following numbers.
   α. 5620251
   b. 3106972
   c. 8675231
   e. 54675335
   F. 66706972
   g. 67597546
   2. Read the following numbers and place them in the place value chart.
   α. 75,33,460
   b. 1,98,23,322
   c. 12,36,92,100

Answer:-

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1. Number Names

Number	Number Name
a. 56,20,251	Fifty-six lakh twenty thousand two hundred fifty-one
b. 31,06,972	Thirty-one lakh six thousand nine hundred seventy-two
c. 86,75,231	Eighty-six lakh seventy-five thousand two hundred thirty-one
e. 5,46,75,335	Five crore forty-six lakh seventy-five thousand three hundred thirty-five
f. 6,67,06,972	Six crore sixty-seven lakh six thousand nine hundred seventy-two
g. 6,75,97,546	Six crore seventy-five lakh ninety-seven thousand five hundred forty-six

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2. Place Value Chart (Indian System)

a. 75,33,460

Crore	Ten Lakh	Lakh	Ten Thousand	Thousand	Hundred	Ten	One
0	7	5	3	3	4	6	0

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b. 1,98,23,322

Crore	Ten Lakh	Lakh	Ten Thousand	Thousand	Hundred	Ten	One
1	9	8	2	3	3	2	2

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c. 12,36,92,100

Ten Crore	Crore	Ten Lakh	Lakh	Ten Thousand	Thousand	Hundred	Ten	One
1	2	3	6	9	2	1	0	0

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