What is the condition on q that the decimal expansion?

So, for to be a terminating decimal, q should have any factor or multiple of 10. This can be represented in the order of , where both x and y are positive integers. So, q must be any factor or multiple of 10 expressed in the form of , for a fraction. to be a terminating fraction.

What is the condition on q in P by q if its decimal representation is a terminating decimal?

p/q is a rational number which q not equal to 0. If the decimal representation of p/q is terminating. The only condition on q is that: The value of q should be 2 or 5 or the multiple of them.

What is the condition for which P and q represent a rational number?

A rational number is a number that can be written in the form p/q where p and q are integers, and q ≠ 0.

What is the condition for the decimal expansion of a rational number to terminate?

Sol : The condition required for a rational number to have a terminating decimal expansion is that when the number is in its simplest form then its denominator should be in the form of 2^m x 5^n ( where m and n are any whole number ).

What condition should be satisfied by q so that rational number P by q has a terminating decimal expansion?

For the terminating decimal expression, we should not have a multiple of 10 in the denominator. Hence, the prime factorization of q must not be of the form 2 m × 5 n , where m and n are non-negative integers .

When decimal expansion of a rational number p q/q 0 is a terminating?

Rational number p/q, q ≠ 0 will be terminating decimal if the prime factorisation of q is of the form 2m x 5n. S1 : 13231400 is a non terminating decimal. S2 : A number pq where p and q are co-primes is terminating if q is of the form 2n. 3m where n and m are non-negative integers.

What are the conditions of rational number?

A number is rational if we can write it as a fraction, where both denominator and numerator are integers and the denominator is a non-zero number.

In which condition a rational number is terminating?

Now for a number to be terminating, we know that for a rational number $\dfrac{p}{q}$ to be terminating in its decimal form the denominator must be of the form ${{2}^{a}}\times {{5}^{b}}$ , where a and b are positive integers. Also, q is the denominator of the rational number and both p and q are integers.

What is the condition to be satisfied by q so that a rational number?

The condition to be satisfied by q so that a rational number p/q has a non terminating decimal expansion is not of the form 2^m × 5ⁿ, where m and n are non negative integers. Here, prime factors of 13 are not of the form 2^m × 5ⁿ,so it will not have a terminating decimal expansion.

What happens to a rational number if q 0?

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0. Yes, zero is a rational number. The number zero can be written as 0 ÷ any non-zero integer. This is in the form of p/q, where p and q are integers and q ≠ 0.

Is zero a rational number can you write it in the form p q?

Yes, zero is a rational number. This is in the form of p/q, where p and q are integers and q ≠ 0.