State whether the following statements are true (T) or false (F):

(i) Every decimal number can be represented by a point on a number line.

(ii) Fractions with denominator 10, 100, 1000, ….. are called decimal fractions.

(iii) A decimal number having 3 decimal places can be written as a fraction with denominator 1000.

(iv) The value of a decimal number remains the same if any number of extra zeros are written at the end of a decimal number.

(v) If a decimal number is multiplied by 10, then the decimal point moves by one place to the left.

(i) True. Every decimal number corresponds to a unique point on a number line.

(ii) True. By definition, fractions with denominator 10, 100, 1000, … are called decimal fractions.

(iii) True. For a decimal number with 3 decimal places, the denominator of its decimal fraction is 1000.

(iv) True. For example, 3.7 = 3.70 = 3.700.

(v) False. When a decimal number is multiplied by 10, the decimal point moves by one place to the right, not to the left.