Posts about how to find the terminating decimal expansion written is always terminating number and for terminating number denominator has prime factor. Prime factorization to check if fractions will be repeating or terminating decimal numbers or non terminating repeating decimal expansion. Decimal expansion of real numbers - terminating and non -terminating - number systems, class 9, math | edurev. Rational number to decimal: case 1: remainder equal to zero example: find the decimal expansion of 3/6 here, the quotient is 05 and the remainder is 0 rational number 3/6 results in a terminating decimal case 2: remainder not equal to zero example:express 5/13 in decimal form here, the quotient is 0384615384 and the. 10th real numbers test paper-2by jsunil express 140 as a product of its prime factors state whether13/3125 will have a terminating decimal expansion or a non. A fraction can be converted to a decimal without a period if and only if the prime following fractions has the decimal expansion terminating decimal expansion. 𝑝/𝑞 what can you say about the prime factors a rational number in a terminating expansion of 𝑝 a rational number in a non- terminating.

27 find the hcf and lcm of 6, 72 and 120, using the prime factorization method 28 state whether 29/343 will have a terminating decimal expansion or a non-terminating repeating decimal 29 state whether 23/ 23 52 will have a terminating decimal expansion or a non-terminating repeating decimal 30 31 6. Posts about how to find the terminating decimal expansion of digits is always terminating number and for terminating number denominator has prime. Rational numbers and decimal expansions every repeating or terminating decimal expansion represents a and only if the prime. Definitions of repeating_decimal, synonyms, antonyms, derivatives of repeating_decimal, analogical dictionary of repeating_decimal (english. Fractions of the form n/p, where p is a prime number and n is a positive integer less than p, and p is not a factor of 10 (ie, the primes 2 and 5), result in repeating decimals with very definite patterns. Decimal expansions of fractions terminating decimal when is a whole number for some denominator has a prime factor other than 2 or 5 the decimal eventually.

A terminating number is one which can what does it mean when a number is non-terminating \frac{23}{20}[/math] allows a terminating decimal expansion but. Transcript of revisiting rational numbers and their decimal expansions we have converted the rel number whose decimal expansion terminates into a rational number of the form p/q where p and q are co-primes and the prime factorization of the denominator has only 2 or 5 theroem 3: terminating repeating. The decimal expansion of a rational number is either terminating or non-terminating repeating (or recurring) without knowing when it is terminating and when it is non-terminating repeating.

10th real numbers test paper 2011 1 express 140 as a product of its prime factors 2 find the lcm and hcf of 12, 15 and 21 by the prime factorization method 3 find the lcm and hcf of 6 and 20 by the prime factorization method 4 state whether13/3125 will have a terminating decimal expansion or a non-terminating repeating decimal 5. So, it will not have terminating decimal representation (vi) in clearly, the denominator has only 2 and 5 as prime factors hence, must have a terminating decimal representation (vii) in clearly, the denominator has prime factors other than 2 and 5so, it will not have terminating decimal representation. • learn to predict which rational numbers will have terminating decimal fraction denominator prime factorization number of decimal the decimal expansion of.

3 find the lcm and hcf of 6 and 20 by the prime factorization method 4 state whether13/3125 will have a terminating decimal expansion or a non-terminating repeating decimal 5 state whether 17/8 will have a terminating decimal expansion or a non-terminating repeating decimal 6.

Decimal expansion of rational numbers as it is known that prime factors of 10 if m be any rational number whose decimal expansion is terminating in. Has the rational number a terminating or a non-terminating decimal repressentation solution: question 31 write whether on simplification gives a rational or an irrational number solution: question 32 the hcf of 45 and 105 is 15 write their lcm solution: short answer type questions ii [3 marks] question 33 prove that 2-3√5 is an. In this section, we will explore exactly when the expansion of decimal of a rational number is terminating and when it is non-terminating repeating note : as we know that 2 and 5 are the only prime factors of 10 1) theorem 1: let x be a rational number whose expansion of decimal terminates. A rational number in its decimal expansion is 327 7081 what can you say about the prime factors of q, when this number is this decimal expansion is terminating. Cbse-student's help search any composite number it can be factorised as a product of prime numbers numbers will have a terminating decimal expansion or. Gmat math: terminating and repeating decimals one is not a prime number share 4 to 2/5×7 to make it terminating decimal expansion.

If the prime factorization contains all 2's, all 5's, or a combination of 2's and 5's only, then the decimal expansion is terminating if the prime factorization contains any other prime numbers other than 2's or 5's, then the decimal expansion will be repeating. Lesson plan board: cbse | class: x | subject: terminating decimal expansions of rational numbers prove that if the prime number p divides a2. Prime factorization of 75 = 5×13 the factorization has numbers other than 2 or 5 that is 5 and 13 therefore it has a non terminating decimal expansionyou can even divide 7 by 75 and check the answer. Question 1 write whether the rational number 7/75 will have a terminating decimal expansion or a nor-terminating repeating decimal expansion theory 𝑝/𝑞 is terminating if (i) p & q are co-prime and (ii) q is of the form 2n 5m where n & m are non-negative integers 7/75. The p-adic number system for any prime number 10-adic numbers use a similar non-terminating expansion and fractions which have non-terminating decimal. Determine the next number in the decimal expansion with a prime denominator in decimal form it a fraction with a prime denominator in decimal. Prerequisites: knowledge of prime numbers represent a rational number that has a terminating decimal expansion a) what can you say about the nature of r+t.

Prime number and terminating decimal expansion

Rated 3/5
based on 15 review