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NCERT Solutions for Class 6 Maths - Whole Numbers

Exercise 2.1

Q1. Write the next three natural numbers after 10999.
Ans: To find the next three natural numbers after 10,999, we add 1 to each consecutive result:

  1. 10,999+1=11,00010,999 + 1 = 11,000
  2. 11,000+1=11,00111,000 + 1 = 11,001
  3. 11,001+1=11,00211,001 + 1 = 11,002

Therefore, the next three natural numbers after 10,999 are: 11,000, 11,001, and 11,002.

Q2. Write the three whole numbers occurring just before 10001.
Ans: To find the three whole numbers occurring just before 10,001, we subtract 1 successively:

  1. 10,0011=10,00010,001 - 1 = 10,000
  2. 10,0001=9,99910,000 - 1 = 9,999
  3. 9,9991=9,9989,999 - 1 = 9,998

Therefore, the three whole numbers just before 10,001 are:10,000, 9,999, and 9,998.

Q3. Which is the smallest whole number?
Ans: ‘0’ (zero) is the smallest whole number.


Q4. How many whole numbers are there between 32 and 53?
Ans: The whole numbers between 32 and 53 are as follows:
(33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52)
Hence, there are 20 whole numbers between 32 and 53


Q5. Write the successor of:
(a) 2440701 
(b) 100199
(c) 1099999 
(d) 2345670
Ans: 

A successor is used for the numbers that comes just after any number.

(a) Successor of 2440701 is 2440701 + 1 = 2440702
(b) Successor of 100199 is 100199 + 1 = 100200
(c) Successor of 1099999 is 1099999 + 1 = 1100000
(d) Successor of 2345670 is 2345670 + 1 = 2345671

Q6. Write the predecessor of:
(a) 94 
(b) 10000
(c) 208090 
(d) 7654321
Ans: 

A predecessor is used for the numbers that comes just before any number.

(a) The predecessor of 94 is 94 – 1 = 93
(b) The predecessor of 10000 is 10000 – 1 = 9999
(c) The predecessor of 208090 is 208090 – 1 = 208089
(d) The predecessor of 7654321 is 7654321 – 1 = 7654320

Q7. In each of the following pairs of numbers, state which whole number is on the left of the other number on the number line. Also write them with the appropriate sign (>, <) between them.
(a) 530, 503 
(b) 370, 307 
(c) 98765, 56789 
(d) 9830415, 10023001
Ans:
(a) Since, 530 > 503

NCERT Solutions for Class 6 Maths - Whole Numbers

Hence, 503 is on the left side of 530 on the number line

(b) Since, 370 > 307

NCERT Solutions for Class 6 Maths - Whole Numbers

Hence, 307 is on the left side of 370 on the number line

(c) Since, 98765 > 56789

NCERT Solutions for Class 6 Maths - Whole Numbers

Hence, 56789 is on the left side of 98765 on the number line

(d) Since, 9830415 < 10023001

NCERT Solutions for Class 6 Maths - Whole Numbers

Hence, 9830415 is on the left side of 10023001 on the number line


Q8. Which of the following statements are true (T) and which are false (F)?
(a) Zero is the smallest natural number.
(b) 400 is the predecessor of 399.
(c) Zero is the smallest whole number.
(d) 600 is the successor of 599.
(e) All natural numbers are whole numbers.
(f) All whole numbers are natural numbers.
(g) The predecessor of a two-digit number is never a single-digit number.
(h) 1 is the smallest whole number.
(i) The natural number 1 has no predecessor.
(j) The whole number 1 has no predecessor.
(k) The whole number 13 lies between 11 and 12.
(l) The whole number 0 has no predecessor.
(m) The successor of a two-digit number is always a two-digit number.
Ans: 
(a) False

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

Natural numbers start from 1. Therefore, zero is not considered a natural number.

(b) False

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

The predecessor of a number is the number that comes immediately before it. The predecessor of 399 is 398, not 400.
NCERT Solutions for Class 6 Maths - Whole Numbers

(c) True

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

Whole numbers include all natural numbers along with zero. Therefore, zero is the smallest whole number.

(d) True

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

The successor of a number is the number that comes immediately after it. The successor of 599 is 600.
NCERT Solutions for Class 6 Maths - Whole Numbers

(e) True

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

Natural numbers are a subset of whole numbers. Therefore, all natural numbers are indeed whole numbers. 

(f) False

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

Whole numbers include zero, which is not a natural number. Therefore, not all whole numbers are natural numbers.

(g) False

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

The predecessor of 10, which is a two-digit number, is 9, which is a single-digit number. Therefore, the statement is false.
NCERT Solutions for Class 6 Maths - Whole Numbers

(h) False

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

The smallest whole number is 0, not 1.

(i) True

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

In the set of natural numbers, 1 is the smallest, so it has no predecessor.

(j) False

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

The predecessor of 1 in the set of whole numbers is 0.
NCERT Solutions for Class 6 Maths - Whole Numbers

(k) False

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

The number 13 is greater than 12, so it does not lie between 11 and 12.
NCERT Solutions for Class 6 Maths - Whole Numbers

(l) True

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

In the set of whole numbers, 0 is the smallest number and has no predecessor.

(m) False

NCERT Solutions for Class 6 Maths - Whole Numbers  View Answer

The successor of 99 is 100, which is a three-digit number. Therefore, the successor of a two-digit number is not always a two-digit number.
NCERT Solutions for Class 6 Maths - Whole Numbers

The document NCERT Solutions for Class 6 Maths - Whole Numbers is a part of the Class 6 Course Mathematics (Maths) Class 6.
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FAQs on NCERT Solutions for Class 6 Maths - Whole Numbers

1. Whole numbers kya hote hain?
Ans. Whole numbers wo sankhyaen hain jo zero se shuru hoti hain aur unmein koi bhi negative ya decimal sankhya nahi hoti. Inhe 0, 1, 2, 3, 4, ... ke roop mein vyakt kiya ja sakta hai.
2. Whole numbers aur natural numbers mein kya antar hai?
Ans. Natural numbers wo sankhyaen hain jo 1 se shuru hoti hain, jaise 1, 2, 3, 4, ... Jabki whole numbers mein 0 bhi shamil hota hai, jisse inka gyan 0, 1, 2, 3, 4, ... tak hota hai.
3. Whole numbers ka addition kaise kiya jata hai?
Ans. Whole numbers ka addition karte waqt, humein unhe seedhe jodna hota hai. Jaise agar hum 3 aur 5 ko jodte hain to 3 + 5 = 8 milta hai. Is prakar, kisi bhi do whole numbers ka yog hamesha ek whole number hota hai.
4. Agar ek whole number ko ek aur whole number se ghatate hain, to kya milta hai?
Ans. Agar hum ek whole number se ek aur whole number ko ghatate hain, to agar pehla number dusre se bada ya barabar hai, to humein ek whole number milega. Lekin agar pehla number chhota hai to hum negative sankhya prapt karte hain, jo whole numbers ka hissa nahi hota.
5. Whole numbers ki pratikriya kya hoti hai?
Ans. Whole numbers ki pratikriya ka matlab hai unka vyavahar alag-alag gatividhiyon mein. Jaise, addition, subtraction, multiplication, aur division ke dauran, whole numbers ka istemal kiya jata hai. Inka upyog hum daily life ke kai situations mein karte hain, jaise shopping, counting, aur budgeting.
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