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Mathematics

State True or False :

(i) Like decimals have the same decimal parts.

(ii) The part of a decimal that lies to the left of the decimal point is called the whole number part.

(iii) When we divide a decimal by another decimal, the number of decimal places in the quotient is equal to the difference in the number of decimal places in the two decimals.

(iv) A decimal is called a terminating decimal if its whole number part is 0.

(v) A recurring decimal is one in which all the digits in the decimal part are repeated.

Decimals

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Answer

(i) False.
Reason — Like decimals have the same number of decimal places, not necessarily the same digits in the decimal parts.

(ii) True.
Reason — The digits to the left of the decimal point represent the whole number part.

(iii) False.
Reason — When dividing decimals, we first make the divisor a whole number. The number of decimal places in the quotient does not depend on the difference in decimal places.

(iv) False.
Reason — A decimal is called terminating if the division ends with a remainder of zero, regardless of what the whole number part is.

(v) False.
Reason — This describes a pure recurring decimal; however, a recurring decimal can also be a mixed recurring decimal where only some digits repeat.

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