Selina Textbook Solutions: Place Value

 Page 1


EXERCISE 4(A) 
Question 1. 
Fill in the blanks : 
(i) In 20 kg, the unit is ………….., which is taken …………. times. 
(ii) In 80 m, the unit is …………., which is taken …………. times. 
(iii) If a unit cm (centimetre) is taken 5 times, the corresponding quantity is ……………. 
(iv) If a unit km (kilometre) is taken 24 times, the corresponding quantity is …………… 
(v) 
Number Numeral Numeration 
53  … … … … .  ………. 
 ……… 9  ………… 
240  … … … … . .  … … … . . 
Solution: 
(i) In 20 kg, the unit is kg, which is taken 20 times. 
(ii) In 80 m, the unit is m, which is taken 80 times. 
(iii) If a unit cm (centi metre) is taken 5 times, the corresponding quantity is 5 cm. 
(iv) If a unit km (kilo metre) is taken 24 times, the corresponding quantity is 24 km. 
(v) 
Number Numeral Numeration 
53 53 fifty three 
9 9 Nine 
240 240 two hundred forty 
Question 2. 
Fill in the blanks : 
(i) In 24,673 ; the place value of 6 is ……….. 
(ii) In 8,039 ; the place value of 8 is ………….. 
(iii) In 3,25,648; the local value of 5 is …………… 
(iv) In 6,439 ; the local value of 6 is ………. 
Solution: 
(i) In 24,673 ; the place value of 6 is 6 x 100 = 600. 
(ii) In 8, 039 ; the place value of 8 is 8 x 1000 = 8000. 
(iii) In 3, 25, 648 ; the local value of 5 is 5 x 1000 = 5000. 
(iv) In 6, 439 ; the local value of 6 is 6 x 1000 = 6000. 
Question 3. 
Find the difference between the place values of 3 and 5 in the number 3945. 
Solution: 
Place values of 3 in 3945 is 3000 and 5 is 5 
Difference between them = 3000 – 5 = 2995 
Page 2


EXERCISE 4(A) 
Question 1. 
Fill in the blanks : 
(i) In 20 kg, the unit is ………….., which is taken …………. times. 
(ii) In 80 m, the unit is …………., which is taken …………. times. 
(iii) If a unit cm (centimetre) is taken 5 times, the corresponding quantity is ……………. 
(iv) If a unit km (kilometre) is taken 24 times, the corresponding quantity is …………… 
(v) 
Number Numeral Numeration 
53  … … … … .  ………. 
 ……… 9  ………… 
240  … … … … . .  … … … . . 
Solution: 
(i) In 20 kg, the unit is kg, which is taken 20 times. 
(ii) In 80 m, the unit is m, which is taken 80 times. 
(iii) If a unit cm (centi metre) is taken 5 times, the corresponding quantity is 5 cm. 
(iv) If a unit km (kilo metre) is taken 24 times, the corresponding quantity is 24 km. 
(v) 
Number Numeral Numeration 
53 53 fifty three 
9 9 Nine 
240 240 two hundred forty 
Question 2. 
Fill in the blanks : 
(i) In 24,673 ; the place value of 6 is ……….. 
(ii) In 8,039 ; the place value of 8 is ………….. 
(iii) In 3,25,648; the local value of 5 is …………… 
(iv) In 6,439 ; the local value of 6 is ………. 
Solution: 
(i) In 24,673 ; the place value of 6 is 6 x 100 = 600. 
(ii) In 8, 039 ; the place value of 8 is 8 x 1000 = 8000. 
(iii) In 3, 25, 648 ; the local value of 5 is 5 x 1000 = 5000. 
(iv) In 6, 439 ; the local value of 6 is 6 x 1000 = 6000. 
Question 3. 
Find the difference between the place values of 3 and 5 in the number 3945. 
Solution: 
Place values of 3 in 3945 is 3000 and 5 is 5 
Difference between them = 3000 – 5 = 2995 
Question 4. 
In the number 40562 
(i) the local value of 5 = ………….. 
(ii) the place value of 6 = ……….. 
(iii) the sum of the place value of 5 and the place value of 6 = ………… 
Solution: 
(i) the local value of 5 = 500 and its local value is 5. 
(ii) the place value of 6 = 60 
(iii) the sum of the place value of 5 and the place value of 6 = 500 + 60 = 560 
Question 5. 
Read and write the following numbers in words and also in expanded form : 
(i) 35,000 = ………… 
(ii) 76,000 = …………… 
(iii) 6,23,000 = …………. 
(iv) 40,075 = ……………. 
(v) 50,004 = ……….. 
Solution: 
(i) 35,000 = Thirty five thousands = 3 x 10000 + 5 x 1000 
(ii) 76,000 = Seventy six thousands = 7 x 10000 + 6 x 1000 
(iii) 6,23,000 = Six lakhs twenty three thousands = 6 x 100000 + 23 x 1000 
(iv) 40,075 = Forty thousands seventy five = 4 x 10000 + 75 x 10 + 5 
(v) 50,004 = Fifty thousands four = 5 x 10000 + 4 
Question 6. 
Find the difference in the place values of two sevens in the number 8, 72, 574. 
Solution: 
In 8,72,574, the first 7 occurs at ten thousand place. 
=> Its place value = 70000 
=> The second 7 occurs at ten’s place. 
Its place value = 70 
The difference of the two place values of 7 = 70000 – 70 = 69930 
EXERCISE 4(B) 
Question 1. 
Fill in the blanks : 
(i) 999 + 1 = ………… 
(ii) 10,000 – 1 = ………… 
(iii) 10 coins – one coin = ………… 
(iv) ? 99 + ? 1 = ……….. 
(v) 10,000 boys – 1 boy = ……….. 
(vi) 1000 toys – 1 toy = ………. 
Solution: 
(i) 999 + 1 = 1,000 
Page 3


EXERCISE 4(A) 
Question 1. 
Fill in the blanks : 
(i) In 20 kg, the unit is ………….., which is taken …………. times. 
(ii) In 80 m, the unit is …………., which is taken …………. times. 
(iii) If a unit cm (centimetre) is taken 5 times, the corresponding quantity is ……………. 
(iv) If a unit km (kilometre) is taken 24 times, the corresponding quantity is …………… 
(v) 
Number Numeral Numeration 
53  … … … … .  ………. 
 ……… 9  ………… 
240  … … … … . .  … … … . . 
Solution: 
(i) In 20 kg, the unit is kg, which is taken 20 times. 
(ii) In 80 m, the unit is m, which is taken 80 times. 
(iii) If a unit cm (centi metre) is taken 5 times, the corresponding quantity is 5 cm. 
(iv) If a unit km (kilo metre) is taken 24 times, the corresponding quantity is 24 km. 
(v) 
Number Numeral Numeration 
53 53 fifty three 
9 9 Nine 
240 240 two hundred forty 
Question 2. 
Fill in the blanks : 
(i) In 24,673 ; the place value of 6 is ……….. 
(ii) In 8,039 ; the place value of 8 is ………….. 
(iii) In 3,25,648; the local value of 5 is …………… 
(iv) In 6,439 ; the local value of 6 is ………. 
Solution: 
(i) In 24,673 ; the place value of 6 is 6 x 100 = 600. 
(ii) In 8, 039 ; the place value of 8 is 8 x 1000 = 8000. 
(iii) In 3, 25, 648 ; the local value of 5 is 5 x 1000 = 5000. 
(iv) In 6, 439 ; the local value of 6 is 6 x 1000 = 6000. 
Question 3. 
Find the difference between the place values of 3 and 5 in the number 3945. 
Solution: 
Place values of 3 in 3945 is 3000 and 5 is 5 
Difference between them = 3000 – 5 = 2995 
Question 4. 
In the number 40562 
(i) the local value of 5 = ………….. 
(ii) the place value of 6 = ……….. 
(iii) the sum of the place value of 5 and the place value of 6 = ………… 
Solution: 
(i) the local value of 5 = 500 and its local value is 5. 
(ii) the place value of 6 = 60 
(iii) the sum of the place value of 5 and the place value of 6 = 500 + 60 = 560 
Question 5. 
Read and write the following numbers in words and also in expanded form : 
(i) 35,000 = ………… 
(ii) 76,000 = …………… 
(iii) 6,23,000 = …………. 
(iv) 40,075 = ……………. 
(v) 50,004 = ……….. 
Solution: 
(i) 35,000 = Thirty five thousands = 3 x 10000 + 5 x 1000 
(ii) 76,000 = Seventy six thousands = 7 x 10000 + 6 x 1000 
(iii) 6,23,000 = Six lakhs twenty three thousands = 6 x 100000 + 23 x 1000 
(iv) 40,075 = Forty thousands seventy five = 4 x 10000 + 75 x 10 + 5 
(v) 50,004 = Fifty thousands four = 5 x 10000 + 4 
Question 6. 
Find the difference in the place values of two sevens in the number 8, 72, 574. 
Solution: 
In 8,72,574, the first 7 occurs at ten thousand place. 
=> Its place value = 70000 
=> The second 7 occurs at ten’s place. 
Its place value = 70 
The difference of the two place values of 7 = 70000 – 70 = 69930 
EXERCISE 4(B) 
Question 1. 
Fill in the blanks : 
(i) 999 + 1 = ………… 
(ii) 10,000 – 1 = ………… 
(iii) 10 coins – one coin = ………… 
(iv) ? 99 + ? 1 = ……….. 
(v) 10,000 boys – 1 boy = ……….. 
(vi) 1000 toys – 1 toy = ………. 
Solution: 
(i) 999 + 1 = 1,000 
(ii) 10,000 – 1 =9,999 
(iii) 10 coins – one coin = 9 coins 
(iv) ? 99 + ? 1 = ? 100 
(v) 10,000 boys – 1 boy = 9,999 boys 
(vi) 1000 toys – 1 toy = 999 toys 
Question 2. 
Would the number of students in your school be a 3-digit number or a 4-digit number or 
a 5-digit number? 
Solution: 
Note : This answer will vary from school to school. 
Since, the total strength of M.G.N. Public school is 5410. 
Hence, It is a 4-digit number. 
Question 3. 
Write the smallest number which is just more than 9, 99, 999. 
Solution: 
Given number = 9, 99, 999 
Smallest number which is more than 1 is = 9, 99, 999 + 1 = 10, 00, 000 
Question 4. 
Starting from the greatest 5-digit number, write the previous five numbers in descending 
order. 
Solution: 
Greatest digit number = 99, 999 
Next four numbers in descending order 
99, 999 > 99998 > 99997 > 99996 > 99995 
Question 5. 
Starting from the smallest 7-digit number, write the next four numbers in ascending 
order. 
Solution: 
Smallest 7-digit number = 10, 00, 000 
Next four numbers in ascending order 
10,00,001 < 1000002 < 1000003 < 1000004 <1000005 
Question 6. 
How many numbers lie between the largest 3-digit number and the smallest 4-digit 
number? 
Solution: 
Largest 3-digit number = 999 
Smallest 4-digit number = 1000 
Required number = (1000 – 999) = 1 
Page 4


EXERCISE 4(A) 
Question 1. 
Fill in the blanks : 
(i) In 20 kg, the unit is ………….., which is taken …………. times. 
(ii) In 80 m, the unit is …………., which is taken …………. times. 
(iii) If a unit cm (centimetre) is taken 5 times, the corresponding quantity is ……………. 
(iv) If a unit km (kilometre) is taken 24 times, the corresponding quantity is …………… 
(v) 
Number Numeral Numeration 
53  … … … … .  ………. 
 ……… 9  ………… 
240  … … … … . .  … … … . . 
Solution: 
(i) In 20 kg, the unit is kg, which is taken 20 times. 
(ii) In 80 m, the unit is m, which is taken 80 times. 
(iii) If a unit cm (centi metre) is taken 5 times, the corresponding quantity is 5 cm. 
(iv) If a unit km (kilo metre) is taken 24 times, the corresponding quantity is 24 km. 
(v) 
Number Numeral Numeration 
53 53 fifty three 
9 9 Nine 
240 240 two hundred forty 
Question 2. 
Fill in the blanks : 
(i) In 24,673 ; the place value of 6 is ……….. 
(ii) In 8,039 ; the place value of 8 is ………….. 
(iii) In 3,25,648; the local value of 5 is …………… 
(iv) In 6,439 ; the local value of 6 is ………. 
Solution: 
(i) In 24,673 ; the place value of 6 is 6 x 100 = 600. 
(ii) In 8, 039 ; the place value of 8 is 8 x 1000 = 8000. 
(iii) In 3, 25, 648 ; the local value of 5 is 5 x 1000 = 5000. 
(iv) In 6, 439 ; the local value of 6 is 6 x 1000 = 6000. 
Question 3. 
Find the difference between the place values of 3 and 5 in the number 3945. 
Solution: 
Place values of 3 in 3945 is 3000 and 5 is 5 
Difference between them = 3000 – 5 = 2995 
Question 4. 
In the number 40562 
(i) the local value of 5 = ………….. 
(ii) the place value of 6 = ……….. 
(iii) the sum of the place value of 5 and the place value of 6 = ………… 
Solution: 
(i) the local value of 5 = 500 and its local value is 5. 
(ii) the place value of 6 = 60 
(iii) the sum of the place value of 5 and the place value of 6 = 500 + 60 = 560 
Question 5. 
Read and write the following numbers in words and also in expanded form : 
(i) 35,000 = ………… 
(ii) 76,000 = …………… 
(iii) 6,23,000 = …………. 
(iv) 40,075 = ……………. 
(v) 50,004 = ……….. 
Solution: 
(i) 35,000 = Thirty five thousands = 3 x 10000 + 5 x 1000 
(ii) 76,000 = Seventy six thousands = 7 x 10000 + 6 x 1000 
(iii) 6,23,000 = Six lakhs twenty three thousands = 6 x 100000 + 23 x 1000 
(iv) 40,075 = Forty thousands seventy five = 4 x 10000 + 75 x 10 + 5 
(v) 50,004 = Fifty thousands four = 5 x 10000 + 4 
Question 6. 
Find the difference in the place values of two sevens in the number 8, 72, 574. 
Solution: 
In 8,72,574, the first 7 occurs at ten thousand place. 
=> Its place value = 70000 
=> The second 7 occurs at ten’s place. 
Its place value = 70 
The difference of the two place values of 7 = 70000 – 70 = 69930 
EXERCISE 4(B) 
Question 1. 
Fill in the blanks : 
(i) 999 + 1 = ………… 
(ii) 10,000 – 1 = ………… 
(iii) 10 coins – one coin = ………… 
(iv) ? 99 + ? 1 = ……….. 
(v) 10,000 boys – 1 boy = ……….. 
(vi) 1000 toys – 1 toy = ………. 
Solution: 
(i) 999 + 1 = 1,000 
(ii) 10,000 – 1 =9,999 
(iii) 10 coins – one coin = 9 coins 
(iv) ? 99 + ? 1 = ? 100 
(v) 10,000 boys – 1 boy = 9,999 boys 
(vi) 1000 toys – 1 toy = 999 toys 
Question 2. 
Would the number of students in your school be a 3-digit number or a 4-digit number or 
a 5-digit number? 
Solution: 
Note : This answer will vary from school to school. 
Since, the total strength of M.G.N. Public school is 5410. 
Hence, It is a 4-digit number. 
Question 3. 
Write the smallest number which is just more than 9, 99, 999. 
Solution: 
Given number = 9, 99, 999 
Smallest number which is more than 1 is = 9, 99, 999 + 1 = 10, 00, 000 
Question 4. 
Starting from the greatest 5-digit number, write the previous five numbers in descending 
order. 
Solution: 
Greatest digit number = 99, 999 
Next four numbers in descending order 
99, 999 > 99998 > 99997 > 99996 > 99995 
Question 5. 
Starting from the smallest 7-digit number, write the next four numbers in ascending 
order. 
Solution: 
Smallest 7-digit number = 10, 00, 000 
Next four numbers in ascending order 
10,00,001 < 1000002 < 1000003 < 1000004 <1000005 
Question 6. 
How many numbers lie between the largest 3-digit number and the smallest 4-digit 
number? 
Solution: 
Largest 3-digit number = 999 
Smallest 4-digit number = 1000 
Required number = (1000 – 999) = 1 
Question 7. 
How many 5-digit numbers are there in all? 
Solution: 
Largest number of 5-digits = 99999 Largest number of 4-digits = 9999 
Required number=99999 – 9999 = 90,000 
So, 90,000 numbers are there in all.