Question

Assertion: 0.456 is a terminating decimal.

Reason: A decimal in which a digit or a set of digits is repeated periodically is called a recurring decimal.

Options

• Both A and R are true and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

Both A and R are true but R is the incorrect reason for A.

Explanation:

Assertion: 0.456 is a terminating decimal.

• A terminating decimal is one that comes to an end after a finite number of digits.
• 0.456 has only three decimal places and it stops. 
  So, the assertion is true.

Reason: A decimal in which a digit or a set of digits is repeated periodically is called a recurring decimal.

• This is the correct definition of a recurring (repeating) decimal.
• Example: 0.333... or 0.142857142857....
  So, the reason is also true.