Look at several examples of rational numbers in the form p/q (q ≠ 0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?

Question

TextTerminating and Non-terminating Decimal ExpansionsNCERT Textbook

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Find the decimal expansions of 10/3, 7/8 and 1/7.

Write the following in decimal form and say what kind of decimal expansion each has:

Decimal representation of a rational number cannot be

The decimal expansion of the number √2 is

Convert 3/8 into decimal.

Convert 5/11 into decimal.