Question

Look at several examples of rational numbers in the form (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?

Answer 1

If the denominator is a product of 2 and 5 only then it will always give a terminating number
For example 7/2 = 0.35, 19/10 = 1.9, 12/5 = 2.5, 1/25 = 0.04, 1/ 4 = 0.25 and you can write many such examples.

Hope I helped you! :)

Answer 2

Answer:

If the denominator is a product of 2 and 5 only then it will always give a terminating number

For example 7/2 = 0.35, 19/10 = 1.9, 12/5 = 2.5, 1/25 = 0.04, 1/ 4 = 0.25 and you can write many such examples.

Hope I helped you! :)

Step-by-step explanation:

Any number which can be represented in the form of p/q where q is greater than 0 is called a rational number. The real numbers which cannot be expressed in the form of p/q, where p and q are integers and q ≠ 0 are known as irrational numbers.

q must satisfy the condition that if prime factors of q are 2,5 or their product then the rational numbers always have a terminating decimal expansion.