1. Number System
Exercise 1A
Question 1
Write the number between 3456 and 3466.
Answer :
The numbers between 3456 and 3466 are 3457, 3458, 3459, 3460, 3461, 3462, 3463, 3464, 3465, and 3466.
Question 2
Write the numeral for each of the following numbers:
- Nine thousand eighteen
- Fifty-four thousand seventy-three
- Three lakh two thousand five hundred six
- Twenty lakh ten thousand eight
- Six crore five lakh fifty-seven
- Two crore two lakh two thousand two hundred two
- Twelve crore twelve lakh twelve thousand twelve
- Fifteen crore fifty lakh twenty thousand sixty-eight
Answer :
Here are the numerals for each of the given numbers:
- Nine thousand eighteen: 9018
- Fifty-four thousand seventy-three: 54073
- Three lakh two thousand five hundred six: 302506
- Twenty lakh ten thousand eight: 201008
- Six crore five lakh fifty-seven: 650057
- Two crore two lakh two thousand two hundred two: 2202202
- Twelve crore twelve lakh twelve thousand twelve: 12122112
- Fifteen crore fifty lakh twenty thousand sixty-eight: 15520608
Question 1
-
Write each of the following numbers in words:
- 63,005
- 7,07,075
- 34,20,019
- 3,05,09,012
- 5,10,03,604
- 6,18,05,008
- 19,09,09,900
- 6,15,30,807
- 6,60,60,060
Answer :
Here are the numbers written in words:
- 63,005: Sixty-three thousand five
- 7,07,075: Seven lakh seven thousand seventy-five
- 34,20,019: Thirty-four lakh twenty thousand nineteen
- 3,05,09,012: Three crore five lakh nine thousand twelve
- 5,10,03,604: Five crore ten lakh three thousand six hundred four
- 6,18,05,008: Six crore eighteen lakh five thousand eight
- 19,09,09,900: Nineteen crore nine lakh nine thousand nine hundred
- 6,15,30,807: Six crore fifteen lakh thirty thousand eight hundred seven
- 6,60,60,060: Six crore sixty lakh sixty thousand sixty
Question 1
-
Write each of the following numbers in expanded form:
- 15,768
- 3,08,927
- 24,05,609
- 5,36,18,493
- 6,06,06,006
- 9,10,10,510
Answer :
Here are the numbers written in expanded form:
-
15,768:
( 10,000 + 5,000 + 700 + 60 + 8 ) -
3,08,927:
( 3,00,000 + 8,000 + 900 + 20 + 7 ) -
24,05,609:
( 20,00,000 + 4,00,000 + 5,000 + 600 + 9 ) -
5,36,18,493:
( 5,00,00,000 + 30,00,000 + 6,00,000 + 1,00,000 + 400 + 90 + 3 ) -
6,06,06,006:
( 6,00,00,000 + 6,00,000 + 6 ) -
9,10,10,510:
( 9,00,00,000 + 10,00,000 + 10,000 + 500 + 10 )
Question 1
-
Write the corresponding numeral for each of the following:
- 6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 10 + 4 × 1
- 5 × 10000 + 8 × 1000 + 1 × 100 + 6 × 10 + 2 × 1
- 2 × 10000 + 5 × 1000 + 7 × 100 + 9 × 10 + 5 × 1
- 3 × 1000000 + 4 × 100000 + 6 × 1000 + 5 × 100
Answer :
Here are the corresponding numerals for each of the given expressions:
-
(a) ( 6 ,000 + 2 ,000 + 5 + 8 + 4 ) = 62,584
-
(b) ( 5 ,000 + 8 ,000 + 1 + 6 + 2 ) = 58,162
-
(c) ( 2 ,000 + 5 ,000 + 7 + 9 + 5 ) = 25,795
-
(d) ( 3 ,000,000 + 4 ,000 + 6 ,000 + 5 ) = 34,605,000
Question 1
-
Write the number coming just before and coming after the given number:
- 42678
- 998866
- 124680
- 87654
Answer :
Here are the numbers coming just before and just after the given numbers:
-
(a) 42678:
- Just before: 42677
- Just after: 42679
-
(b) 998866:
- Just before: 998865
- Just after: 998867
-
(c) 124680:
- Just before: 124679
- Just after: 124681
-
(d) 87654:
- Just before: 87653
- Just after: 87655
Question 1
- Write the next three whole numbers after 30999.
Answer :
The next three whole numbers after 30,999 are:
- 31,000
- 31,001
- 31,002
Question 1
- Write the three whole numbers occurring just before 10001.
Answer :
The three whole numbers occurring just before 10,001 are:
- 10,000
- 9,999
- 9,998
Question 1
- How many whole numbers are there between 1032 and 1209?
Answer :
To find the number of whole numbers between 1,032 and 1,209, you subtract the smaller number from the larger number and then subtract 1:
[ 1,209 - 1,032 - 1 = 176 ]
Thus, there are 176 whole numbers between 1,032 and 1,209.
Question 1
-
Insert commas suitably and write the names according to Indian System of
Numeration and International System of Numeration:
- 87595762
- 8546283
- 99900046
- 98432701
- 78921092
- 7452283
Answer :
Here are the numbers with suitable commas and their corresponding names in both the Indian and International Systems of Numeration:
-
(a) 87,595,762
- Indian: Eight crore seventy-five lakh ninety-five thousand seven hundred sixty-two
- International: Eighty-seven million five hundred ninety-five thousand seven hundred sixty-two
-
(b) 85,462,83
- Indian: Eighty-five lakh forty-six thousand two hundred eighty-three
- International: Eight million five hundred forty-six thousand two hundred eighty-three
-
(c) 99,900,046
- Indian: Ninety-nine crore ninety lakh forty-six
- International: Ninety-nine million nine hundred thousand forty-six
-
(d) 98,432,701
- Indian: Ninety-eight crore forty-three lakh twenty-seven hundred one
- International: Ninety-eight million four hundred thirty-two thousand seven hundred one
-
(e) 78,92,10,92
- Indian: Seventy-eight crore ninety-two lakh ten thousand ninety-two
- International: Seventy-eight million nine hundred twenty-one thousand ninety-two
-
(f) 74,52,283
- Indian: Seventy-four lakh fifty-two thousand two hundred eighty-three
- International: Seven million four hundred fifty-two thousand two hundred eighty-three
Question 1
-
Arrange the following numbers in ascending order:
- 878787877, 696969696, 9996655, 8790001
- 12345789, 21345689, 113456789, 223456789
- 19000919, 192000009, 191900009, 10999909
- 223344556, 3000000, 209999999, 222998877
Answer :
Here are the numbers arranged in ascending order for each set:
-
(a)
Ascending Order:- 9,996,655
- 8,790,001
- 696,969,696
- 878,787,877
-
(b)
Ascending Order:- 12,345,789
- 21,345,689
- 113,456,789
- 223,456,789
-
(c)
Ascending Order:- 10,999,909
- 19,000,919
- 191,900,009
- 192,000,009
-
(d)
Ascending Order:- 3,000,000
- 222,998,877
- 223,344,556
- 209,999,999
(Note: The correct arrangement for (d) is actually:
3,000,000
209,999,999
222,998,877
223,344,556)
Question 1
-
Arrange the following numbers in descending order:
- 787878787, 969696966, 55566699, 78900002
- 98764321, 987654312, 98765311, 987654322
- 91900009190000092, 90009191, 909999901
- 778899222, 999999902, 9000000, 778899221
Answer :
Here are the numbers arranged in descending order for each set:
-
(a)
Descending Order:- 787,878,787
- 969,696,966
- 78,900,002
- 55,566,699
-
(b)
Descending Order:- 987,654,322
- 987,654,312
- 98,765,311
- 98,764,321
-
(c)
Descending Order:- 91,900,009,190,000,092
- 909,999,901
- 90,009,191
-
(d)
Descending Order:- 999,999,902
- 778,899,222
- 778,899,221
- 9,000,000
Question 1
-
- Write all the possible numbers of three digits using 2, 5 and 1.
- Write all the possible three-digit numbers using 3, 4 and 6.
- Write all the possible numbers of three digits using 8, 9 and 7.
Answer :
Question 1
-
- Write the greatest number of 4 digits using 1,0,9 and 2.
- Write the greatest five-digit number using 9, 1 , 0, 3 and 1.
- Write the greatest number of six digits using 8, 9, 6, 5, 0 and 4.
Answer :
Here are all the possible three-digit numbers for each set of digits:
(a) Using 2, 5, and 1
Three-digit Numbers:
- 251
- 215
- 521
- 512
- 125
- 152
(b) Using 3, 4, and 6
Three-digit Numbers:
- 346
- 364
- 436
- 463
- 634
- 643
(c) Using 8, 9, and 7
Three-digit Numbers:
- 897
- 879
- 978
- 987
- 789
- 798
Question 1
-
Write the successor of:
- 2540801
- 9999
- 50904
- 61639
- 687890
- 5386700
- 6475999
- 9999999
Answer :
Here are the successors for each of the given numbers:
- (a) 2,540,801: 2,540,802
- (b) 9,999: 10,000
- (c) 50,904: 50,905
- (d) 61,639: 61,640
- (e) 687,890: 687,891
- (f) 5,386,700: 5,386,701
- (g) 6,475,999: 6,476,000
- (h) 9,999,999: 10,000,000
Question 1
-
Write the predecessor of:
- 97
- 10000
- 36900
- 7684320
- 1566391
- 2456800
- 100000
- 1000000
Answer :
Here are the predecessors for each of the given numbers:
- (a) 97: 96
- (b) 10,000: 9,999
- (c) 36,900: 36,899
- (d) 7,684,320: 7,684,319
- (e) 1,566,391: 1,566,390
- (f) 2,456,800: 2,456,799
- (g) 100,000: 99,999
- (h) 1,000,000: 999,999
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