The document RD Sharma Solutions (Part - 1) - Whole Number Class 6 Notes | EduRev is a part of the Class 6 Course RD Sharma Solutions for Class 6 Mathematics.

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**Page No. 3.4**

**Ques 1: Write down the smallest natural number.Ans:** The smallest natural number is 1.

Ans:

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**Ques 6: Are all whole numbers also natural numbers?Ans:** No, all whole numbers are not natural numbers because 0 is a whole number but not a natural number.

(i) 1000909

(ii) 2340900

(iii) 7039999

**Ans:**

**Ques 8: Write down the predecessor of each of the following whole numbers:(i) 10000(ii) 807000(iii) 7005000Ans:**

Ques 9: Represent the following numbers on the number line:

2,0,3,5,7,11,15

Ans:

**Ques 10: How many whole numbers are there between 21 and 61?**

**Ans:** The whole numbers between 21 and 61 are 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59 and 60.

Thus, there are 39 whole numbers between 21 and 61.**Ques 11: Fill in the blanks with the appropriate symbol < or >:(i) 25...205(ii) 170...107(iii) 415...514(iv) 10001...100001(v) 2300014...2300041Ans:**

We have:

(i) 25 < 205

(ii) 170 > 107

(iii) 415 < 514

(iv) 10001 < 100001

(v) 2300014 < 2300041

925, 786, 1100, 141, 325, 886, 0, 270

Ans:

1100, 925, 886, 786, 325, 270, 141, 0

Ans:

Smallest seven-digit number = 1,000,000

Thus, the smallest seven-digit number is larger than the largest six-digit number.

Again,

Difference between these two numbers = 1,000,000 - 999,999 = 1

Hence, the smallest seven-digit number is larger than the largest six-digit number by 1.**Ques 14:Write down three consecutive whole numbers just preceding 8510001.Ans:** We have:

First number = 8,510,001 - 1 = 8,510,000

Second number = 8,510,000 - 1 = 8,509,999

Third number = 8,509,999 - 1 = 8,509,998

Hence, the three consecutive whole numbers just preceding 8,510,001 are 8,510,000, 8,509,999 and 85,09,998.

Ans:

First number = 4,009,998 + 1 = 4,009,999

Second number = 4,009,999 + 1 = 4,010,000

Third number = 4,010,000 + 1 = 4,010,001

Hence, the next three consecutive whole numbers starting from 4,009,998 will be 4,009,999, 4,010,000 and 4,010,001.

Ans:

(i) Every whole number has its successor.

(ii) Every whole number has its predecessor.

(iii) 0 is the smallest natural number.

(iv) 1 is the smallest whole number.

(v) 0 is less than every natural number.

(vi) Between any two whole numbers there is a whole number.

(vii) Between any two non-consecutive whole numbers there is a whole number.

(viii) The smallest 5-digit number is the successor of the largest 4 digit number

(ix) Of the given two natural numbers, the one having more digits is greater.

(x) The predecessor of a two digit number cannot be a single digit number.

(xi) If a and b are natural numbers and a < b, than there is a natural number c such that a<b<c.

(xii) If a and b are whole numbers and a<b, then a+1< b+1.

(xiii) The whole number 1 has 0 as predecessor.

(xiv) The natural number 1 has no predecessor.

Ans:

The successor of every whole number can be found by adding 1.

(ii) False

Zero (0) is a whole number whose predecessor (-1) is not a whole number.

(iii) False

1 is the smallest natural number.

(iv) False

Zero (0) is the smallest whole number.

(v) True

The smallest natural number is 1, so zero (0) is less than every natural number.

(vi) False

There is no whole number between two consecutive whole numbers.

(vii) True

(viii) True

The smallest five-digit number = 10,000

The largest four-digit number = 9,999

Difference = 10,000 - 9,999 = 1

Because the difference is 1, 10,000 is the successor of 9,999.

(ix) True

(x) False

10 is a two-digit number whose predecessor is 9, which is a one-digit number.

(xi) False

If a and b are consecutive natural numbers, then there cannot be any natural number c in between a and b.

(xii) True

(xiii) True

(xiv) True

The predecessor of natural number 1 is 0, which is not a natural number.

**Objective Type Quess**

**Ques 1: **The smallest natural number is**(a) 0(b) 1(c) -1(d) None of theseAns:** (b) 1

(a) 1

(b) 0

(c) -1

(d) None of these

Ans

(b) 0

(a) 0

(b) 2

**(c) -1**

**(d) None of these**

**Ans **: (d) None of these

We know that the smallest natural number is 1. Hence, its predecessor does not exist.**Ques 4: The predecessor of 1 in whole numbers is****(a) 0(b) -1(c) 2(d) None of theseAns** 4:

(a) 0

Predecessor of 1 = 1 - 1 = 0

**Ques 5: The predecessor of 1 million is(a) 9999(b) 99999(c) 999999(d) 1000001Ans:**(c) 9,99,999

We have:

1 million = 10,00,000

Predecessor of 1 million = 10,00,000 - 1 = 9,99,999

**Ques 6: ****The successor of 1 million is****(a) 10001****(b) 100001****(c) 1000001****(d) 10000001****Ans**: (c) 10,00,001

We have:

1 million = 10,00,000

Successor of 1 million = 10,00,000 + 1= 10,00,001**Ques 7: The product of the successor and predecessor of 99 is(a) 9800(b) 9900(c) 1099(d) 9700Ans:**

(a) 9800

We have:

Successor of 99 = 99 + 1 = 100

Predecessor of 99 = 99 âˆ’ 1 = 98

Their product = 100 Ã— 98 = 9800

**Ques 8: The product of a whole number (other than zero) and its successor is(a) an even number(b) an odd number(c) divisible by 4(d) divisible by 3Ans: **(a) an even number

Example:

Whole number = 1

Successor of 1 = 1 + 1 = 2

Their product = 1 Ã— 2 = 2

Thus, 2 is an even number.