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139 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
Estimate the following products by rounding off each number to the nearest ten:
64 × 58
Answer
Nearest ten is 3600.
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Question 21 Mark
Write the corresponding numeral for the following:
2 × 10000000 + 5 × 100000 + 7 × 1000 + 9 × 100 + 5 × 1
Answer
2 × 10000000 + 5 × 100000 + 7 × 1000 + 9 × 100 + 5 × 1 = 2,05,07,905
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Question 51 Mark
Find the estimated quotient for the following:
83 ÷ 17
Answer
The estimated quotient for 83 ÷ 17 is approximately equal to 80 ÷ 20 = 8 ÷ 2 = 4.
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Question 61 Mark
Estimate the following products by rounding off the first number upwards and the second number downwards:
680 × 164
Answer
70000
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Question 71 Mark
What number must be subtracted from 11010101 to get 2635967?
Answer
The number is 11010101 - 2635967 = 8374134
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Question 81 Mark
A number exceeds 37684955 by 3615045. What is that number?
Answer
37684955 + 3615045 = 41300000
The number is 41300000.
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Question 91 Mark
Write the following numerals in words:
234,150,319
Answer
Two hundred thirty-four million one hundred fifty thousand three hundred nineteen.
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Question 101 Mark
Write the numeral for the following numbers:
Twenty lakh ten thousand eitht.
Answer
Twenty lakh ten thousand eitht = 2010008.
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Question 111 Mark
Find the estimated quotient for the following:
87 ÷ 28
Answer
87 ÷ 28 is approximately equal to 90 ÷ 30 = 3.
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Question 131 Mark
Write 'T' for true and 'F' for false.
100 lakhs make a million.
Answer
False.
Solution:
10 lakhs = 1 million.
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Question 151 Mark
A factory produces 6985 screws per day. How many screws will it produce in 358 days?
Answer
The screw mill produced 6985 × 358 = 2500630
2500630 screws were produced in 358 days.
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Question 161 Mark
From a cloth 5m long, a piece of length 2m 85cm is cut off. What is the length of the remaining piece?
Answer
The length of the remaining piece 5m 00cm - 2m 85cm = 2m 15cm.
The length of the remaining piece is 2m 15cm.
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Question 171 Mark
Write the following numbers in expanded form:
9,10,10,510
Answer
9,10,10,510 = (9 × 10000000) + (1 × 1000000) + (1 × 10000) + (5 × 100) + (1 × 10)
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Question 181 Mark
Write the numeral for the following numbers:
Six crore five lakh fifty-seven.
Answer
Six crore five lakh fifty-seven = 60500057.
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Question 191 Mark
Write the following numbers in expanded form:
15,768
Answer
15,768 = (1 × 10000) + (5 × 1000) + (7 × 100) + (6 × 10) + (8 × 1)
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Question 201 Mark
Estimate sum to the nearest thousand:
There are 54 balls in box A and 79 balls in box B. Estimate the total number of balls in both the boxes taken together.
Answer
Nearest thousand is 130.
Solution:
The total number of balls in the both boxes is 54 + 79 = 133 balls.
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Question 211 Mark
Estimate the following products by rounding off each number to the nearest ten:
28 × 63
Answer
Nearest ten is 1800.
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Question 231 Mark
Estimate the following products by rounding off each number to the nearest ten:
42 × 75
Answer
Nearest ten is 3200.
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Question 251 Mark
Fill in the following boxes with the correct symbol > or <:
$47893501\ \Box\ 47894021$
Answer
$47893501<47894021$
Solution:
Both the numbers have the same digits, namely 4, 7, 8 and 9, at the crores, ten lakhs, lakhs and ten thousands places, respectively.
However, the digits at the thousands place in 47893501 and 47894021 are 3 and 4, respectively.
Clearly, 3 < 4
$\therefore 47893501 < 47894021$
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Question 311 Mark
Write the numeral for the following numbers:
Fifty-four thousand seventy-three.
Answer
Fifty-four thousand seventy-three = 54073.
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Question 321 Mark
A rope of length 10m has been divided into 8 pieces of the same length. What is the length of each piece?
Answer
The length of each piece 10m ÷ 8 = 1m 25cm.
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Question 331 Mark
Estimate the following products by rounding off the first number downwards and the second number upwards:
578 × 369
Answer
200000
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Question 341 Mark
Estimate the following products by rounding off each number to the nearest hundred:
264 × 147
Answer
Nearest hundred is 30000.
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Question 401 Mark
Estimate the following products by rounding off each number to the nearest hundred:
376 × 123
Answer
Nearest hundred is 40000.
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Question 411 Mark
Estimate the following products by rounding off each number to the nearest ten:
15 × 34
Answer
Nearest ten is 600.
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Question 421 Mark
Estimate the following products by rounding off each number to the nearest hundred:
509 × 179
Answer
Nearest hundred is 100000.
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Question 431 Mark
Estimate the following products by rounding off the first number upwards and the second number downwards:
267 × 146
Answer
30000
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Question 441 Mark
Write the following numbers in words:
34,20,019
Answer
34,20,019 = Thirty-four lakh twenty thousand nineteen.
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Question 451 Mark
Write the following numbers in words:
6,18,05,008
Answer
6,18,05,008 = Six crore eighteen lakh five thousand eight.
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Question 461 Mark
If 36 flats cost Rs. 68251500, what is the cost of each such flat?
Answer
The cost of each such flat 68251500 ÷ 36 = 1895875.
The cost of each such flat 1895875.
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Question 501 Mark
Find the estimated quotient for the following:
868 ÷ 38
Answer
868 ÷ 38 is approximately equal to 900 ÷ 40 or 90 ÷ 4, which is approximately equal to 23.
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Question 511 Mark
Find the estimated quotient for the following:
858 ÷ 39
Answer
858 ÷ 39 is approximately equal to 900 ÷ 40 or 90 ÷ 4, which is approximately equal to 23.
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Question 521 Mark
Fill in the following boxes with the correct symbol > or <:
$3254790\ \Box\ 3260152$
Answer
$3254790< 3260152$
Solution:
Both the numbers have the digit 3 at the ten lakhs places.
Also, both the numbers have the digit 2 at the lakhs places.
However, the digits at the ten thousands place in 3254790 and 3260152 are 5 and 6, respectively.
Clearly, 5 < 6
$\therefore3254790 < 3260152$
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Question 531 Mark
Write the following numerals in words:
16,06,23,708
Answer
Sixteen crore six lakh twenty-three thousand seven hundred eight.
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Question 541 Mark
Estimate the following products by rounding off the first number upwards and the second number downwards:
359 × 76
Answer
28000
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Question 561 Mark
Fill in the following boxes with the correct symbol > or <:
$10357690\ \Box\ 11243567$
Answer
$10357690<11243567$
Solution:
Both have the digit 1 at the crores places.
However, the digits at the ten lakhs places in 10357690 and 11243567 are 0 and 1, respectively.
Clearly, 0 < 1
$\therefore 10357690 < 11243567$
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Question 571 Mark
Write the corresponding numeral for the following:
6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 10 + 1
Answer
6 × 10000 + 2 × 1000 + 5 × 100 + 8 × 10 + 1 = 62,584
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Question 591 Mark
Write the following numbers in words:
19,09,09,900
Answer
19,09,09,900 = Nineteen crore nine lakh nine thousand nine hundred.
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Question 601 Mark
Find the estimated quotient for the following:
275 ÷ 25
Answer
The estimated quotient of 275 ÷ 25 is approximately equal to 300 ÷ 30 = 30 ÷ 3 = 10.
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Question 611 Mark
Write the corresponding numeral for the following:
3 × 1000000 + 4 × 100000 + 6 × 1000 + 5 × 100 + 7 × 1
Answer
3 × 1000000 + 4 × 100000 + 6 × 1000 + 5 × 100 + 7 × 1 = 34,06,507
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Question 631 Mark
Write the numeral for the following numbers:
Fifteen crore fifty lakh twenty thousand sixty-eight.
Answer
Fifteen crore fifty lakh twenty thousand sixty-eight = 155020068.
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Question 661 Mark
Write the smallest number of different digits formed by using the digits 3, 1, 0, 5 and 7.
Answer
The smallest number formed by using each of the given digits (i.e, 3,1,0,5 and 7) only once is 10357.
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Question 671 Mark
Write the following numerals in words:
14,23,08,915
Answer
Fourteen crore twenty-three lakh eight thousand nine hundred fifteen.
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Question 681 Mark
Write the corresponding numeral for the following:
5 × 100000 + 8 × 10000 + 1 × 1000 + 6 × 100 + 2 × 10 + 3 × 1
Answer
5 × 100000 + 8 × 10000 + 1 × 1000 + 6 × 100 + 2 × 10 + 3 × 1 = 5,81,623
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Question 701 Mark
Estimate the following products by rounding off the first number downwards and the second number upwards:
356 × 278
Answer
90000
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Question 711 Mark
The sum of two numbers is 10750308. If one of them is 8967519, what is the other number?
Answer
The other number is 10750308 - 8967519 = 1782789
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Question 721 Mark
Fill in the blanks:
The smallest 4-digit number with four different digits is __________.
Answer
The smallest 4-digit number with four different digits is 1023.
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Question 741 Mark
Estimate the following products by rounding off each number to the nearest hundred:
271 × 339
Answer
Nearest hundred is 90000.
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Question 771 Mark
Find the estimated quotient for the following:
193 ÷ 24
Answer
The estimated quotient of 193 ÷ 24 is approximately equal to 200 ÷ 20 = 20 ÷ 2 = 10.
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Question 781 Mark
Write the numeral for the following numbers:
Three lakh two thousand five hundred six.
Answer
Three lakh two thousand five hundred six = 302506.
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Question 791 Mark
Estimate the following products by rounding off each number to the nearest hundred:
423 × 158
Answer
Nearest hundred is 80000.
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Question 811 Mark
Estimate the following products by rounding off each number to the nearest hundred:
392 × 138
Answer
Nearest hundred is 40000.
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Question 821 Mark
Write the numeral for the following numbers:
Twelve crore twelve lakh twelve thousand twelve.
Answer
Twelve crore twelve lakh twelve thousand twelve = 121212012.
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Question 851 Mark
Write the following numbers in expanded form:
6,06,06,006
Answer
6,06,06,006 = (6 × 10000000) + (6 × 100000) + (6 × 1000) + (6 × 1)
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Question 861 Mark
Estimate the following products by rounding off the first number upwards and the second number downwards:
183 × 154
Answer
20000
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Question 881 Mark
How many thousands make a lakh?
Answer
One lakh (1,00,000) is equal to one hundred thousand (100 × 1000).
Thus, one hundred thousands make a lakh.
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Question 891 Mark
Write the largest number of different digits formed by using the digits 2, 4, 0, 3, 6 and 9.
Answer
The largest number formed by using each of the given digits only once is 964320.
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Question 901 Mark
Find the estimated quotient for the following:
725 ÷ 23
Answer
The estimated quotient of 725 ÷ 23 is approximately equal to 700 ÷ 20 = 70 ÷ 2 = 35.
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Question 911 Mark
Write the following numbers in words:
6,15,30,807
Answer
6,15,30,807 = Six crore fifteen lakh thirty thousand eight hundred seven.
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Question 921 Mark
Estimate the following products by rounding off each number to the nearest ten:
38 × 63
Answer
Nearest ten is 2400.
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Question 931 Mark
Write the following numbers in expanded form:3,08,927
Answer
3,08,927 = (3 × 100000) + (8 × 1000) + (9 × 100) + (2 × 10) + (7 × 1)
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Question 941 Mark
Write the numeral for the following numbers:
Two crore two lakh two thousand two hundred two.
Answer
Two crore two lakh two thousand two hundred two = 20202202.
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Question 951 Mark
Estimate the following products by rounding off the first number downwards and the second number upwards:
472 × 76
Answer
32000
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Question 961 Mark
Find the estimated quotient for the following:
633 ÷ 33
Answer
The estimated quotient of 633 ÷ 33 is approximately equal to 600 ÷ 30 = 60 ÷ 3 = 20.
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Question 991 Mark
Write all 3-digit numbers using 2, 3, 4, taking each digit only once.
Answer
The 3-digit numbers formed by 2, 3 and 4 by taking each digit only once are 234, 324, 243, 342, 423 and 432.
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Question 1001 Mark
A scooter costs Rs. 36725. How much will 487 such scooters cost?
Answer
Such scooters cost 367725 × 487 = 17885075
17885075 will 487 such scooters cost.
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Question 1031 Mark
Estimate the following products by rounding off each number to the nearest ten:
54 × 47
Answer
Nearest ten is 2500.
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Question 1041 Mark
Fill in the blanks:
564 when estimated to the nearest hundred is ________.
Answer
564 when estimated to the nearest hundred is 600.
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Question 1061 Mark
Write the following numbers in expanded form:
5,36,18,493
Answer
5,36,18,493 = (5 × 10000000) + (3 × 1000000) + (6 × 100000) + (1 × 10000) + (8 × 1000) + (4 × 100) + (9 × 10) + (3 × 1)
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Question 1071 Mark
Estimate the following products by rounding off the first number upwards and the second number downwards:
472 × 158
Answer
50000
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Question 1081 Mark
Write the following numerals in words:
80,060,409
Answer
Eighty million sixty thousand four hundred nine.
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Question 1101 Mark
Find the estimated quotient for the following:
729 ÷ 29
Answer
729 ÷ 29 is approximately equal to 700 ÷ 30 or 70 ÷ 3, which is approximately equal to 23.
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Question 1131 Mark
Write the following numbers in expanded form:
24,05,609
Answer
24,05,609 = (2 × 1000000) + (4 × 100000) + (5 × 1000) + (6 × 100) + (9 × 1)
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Question 1141 Mark
Write 86324805 separating periods in Hindu-Arabic system.
Answer
Periods Crores Lakhs Thousands Hundreds Tens Ones
Digits 8 63 24 8 0 5
Using commas, we write the given number as 8,63,24,805.
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Question 1151 Mark
Write 'T' for true and 'F' for false.
In Roman numerals V, L and D are never subtracted.
Answer
True.
Solution:
In Roman numerals, V, L and D are never repeated and never subtracted.
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Question 1171 Mark
Write 'T' for true and 'F' for false.
The successor of the greatest 5-digit number is 100000.
Answer
True.
Solution:
Greatest five-digit number = 99999
Successor of 99999 = 99999 + 1 = 100000
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Question 1181 Mark
Write the following numbers in words:
6,60,60,060
Answer
6,60,60,060 = Six crore sixty lakh sixty thousand sixty.
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Question 1201 Mark
Write the numeral for the following numbers:
Nine thousand eighteen.
Answer
Nine thousand eighteen = 9018.
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Question 1211 Mark
Write 'T' for true and 'F' for false.
The estimated value of 46,530 to the nearest hundred is 46500.
Answer
True.
Solution:
The number is 46,530. Its digit at the tens place is 3 < 5.
So, the number 46,530 is rounded off to the nearest hundred as 46,500.
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Question 1221 Mark
Fill in the following boxes with the correct symbol > or <:
$3572014\ \Box\ 10235401$
Answer
3572014 < 10235401
Solution:
We know that a 7-digit number is always less than an 8-digit number.
Since 3572014 is a 7-digit number and 10235401 is an 8-digit number, 3572014 is less than 10235401.
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Question 1251 Mark
Fill in the following boxes with the correct symbol > or <:
$1003467\ \Box\ 987965$
Answer
1003467 > 987965
Solution:
We know that a 7-digit number is always greater than a 6-digit number.
Since 1003467 is a 7-digit number and 987965 is a 6-digit number, 1003467 is greater than 987965.
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Question 1281 Mark
Find the estimated quotient for the following:
75 ÷ 23
Answer
The estimated quotient of 75 ÷ 23 is approximately equal to 80 ÷ 20 = 8 ÷ 2 = 4.
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Question 1291 Mark
Estimate the following products by rounding off the first number upwards and the second number downwards:
255 × 350
Answer
90000
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Question 1321 Mark
How many thousands make a crore?
Answer
One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000).
Thus, 10,000 thousands make a crore.
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Question 1351 Mark
Fill in the following boxes with the correct symbol > or <:
$27596381\ \Box\ 7965412$
Answer
27596381 > 7965412
Solution:
We know that an 8-digit number is always greater than a 7-digit number.
Since 7965412 is a 7-digit number and 27596381 is an 8-digit number, 27596381 is greater than 7965412.
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Question 1361 Mark
Write the following numbers in words:
3,05,09,012
Answer
3,05,09,012 = Three crore five lakh nine thousand twelve.
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Question 1371 Mark
Write the following numbers in words:
5,10,03,604
Answer
5,10,03,604 = Five crore ten lakh three thousand six hundred four.
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Question 1381 Mark
Write 'T' for true and 'F' for false.
The difference in the face value and the place value of 5 in 85419 is 85414.
Answer
False.
Solution:
Place value of 5 in 85419 = 5000
Face value of 5 in 85419 = 5
$\therefore$ Their difference = 5000 - 5 = 4995
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