**(6)** **Write the predecessor of:**

**a.** **94**

Predecessor means deduction of 1.

94 – 1 = 93**93 (Ans)****b.** **10000**

Predecessor means deduction of 1.

10000 – 1 = 9999**9999 (Ans)****c. 208090**

Predecessor means deduction of 1.

208090 – 1 = 208089**208089 (Ans**)

**d.** **7654321**

Predecessor means deduction of 1.

7654321 – 1 = 7654320**7654320 (Ans)**

**(7)** **In each of the following pairs of numbers, state which whole number is on the left side of the number on the number line. Also write them with the appropriate sign (>,<) between them.**

**a**. **530, 503**

** Sol. **The smaller number lies on left side and the bigger number lies on the right side of the number line

503 is smaller than 530**Therefore, 503 lies on left side and 530 lies on right****530 > 503**

**b**. **370, 307**

** Sol. **The smaller number lies on left side and the bigger number lies on the right side of the number line.

Here, 307 is smaller than 370**Therefore, 307 lies on left side and 370 lies on right****370 > 307**.

**c. 98765, 56789**

** Sol. **The smaller number lies on left side and the bigger number lies on the right side of the number line.

Here, 56789 is smaller than 98765**Therefore, 56789 lies on left side and 98765 lies on right 98765 > 56789.**

**d.** **9830415, 10023001**

** Sol.** The smaller lies on left side and the bigger number lies on the right side of the number line.

Here, 9830415 is smaller than 10023001.**Therefore, 9830415 lies on left side and 10023001 lies on right side.9830415 < 10023001.**

**(8)** **Which of the following statements are True (T) and which are false (F)?**

a. **Zero is the smallest natural number.****Ans. **False

Reason – Because natural number starts with 1 and goes up to infinity.

Therefore, smallest natural number is 1.

b. **400 is the predecessor of 399.****Ans. **False

Reason – Because predecessor means deducting 1 from the number. Therefore, predecessor pf 399 is 399 – 1 = 398. 400 is the successor of 399.

c. **Zero is the smallest whole number.****Ans. **True

Reason – Whole number starts with 0 and goes up to infinity. Therefore, the statement is correct.

d. **600 is the successor of 599.****Ans. **True.

Reason – Because successor means adding 1 in the given number. Therefore, 599 + 1 = 600. Hence, the statement given is correct

e. **All-natural numbers are whole numbers.****Ans. **True

Reason **–** Whole number = All natural numbers + 0. Therefore, the statement given is correct.

f. **All whole numbers are natural numbers.****Ans. **False

Reason – Whole number = All natural numbers + 0. It means all whole numbers are not natural numbers and thus the statement given is correct.

g. **The predecessor of a two-digit number is never a single digit number.****Ans. **False

Reason – predecessor means deducting 1 from the number. 10 is a two-digit number whose predecessor is 9 which is a single digit number. Therefore, the statement given is not correct.

h. **1 is the smallest whole number.****Ans. **False

Reason – Whole number starts with 0 and goes up to infinity. Therefore, smallest whole number is 0 not 1. Therefore, the statement given is not correct.

i. **The natural number 1 has no predecessor.****Ans. **True.

Reason – natural number starts with 1 and goes up to infinity. Therefore, natural number 1 has no predecessor. Hence, the statement is correct.**J**. **The whole number 1 has no predecessor.****Ans. **False

Reason – Whole number starts with 0 and goes up to infinity. Therefore, whole number 1 has 0 as its predecessor. Hence, the statement is not correct.

k. **The whole number 13 lies between 11 and 12.****Ans. **False

Reason – 13 lies after both the whole number 11 and 12.

l. **The whole number 0 has no predecessor.****Ans. **True

Reason – Whole number starts with 0 and goes up to infinity. Therefore, whole number 0 has no predecessor. Hence, the given statement is correct.

m. **The successor of a two-digit number is always a two-digit number.****Ans. **False

Reason – successor means adding 1 in the given number. 99 is two-digit number whose successor is 99 + 1 = 100, which is three-digit number. Therefore, the given statement is not correct.