Real Numbers Class 10 Maths Revisiting Rational Numbers And Thei Example: find the decimal expansion of 3 6. here, the quotient is 0.5 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 0.384615384 and the remainder is not zero. notice that the number…384 after the decimal is. Decimal expansions – it explores when the decimal expansion of a rational number is terminating and when it is recurring. it includes a total of 3 problems with sub parts in exercise 1.4; key features of ncert solutions for class 10 maths chapter 1 real numbers.
Decimal Expansion Of Rational Numbers Class10 Mathematics Real Ncert solutions for chapter 1 real numbers class 10 maths. here, r = 0, so our process stops. since, the divisor at the last step is 45, ∴ hcf of 225 and 135 is 45. ∴ hcf of 38220 and 196 is 196. here, r = 0, so our process stops. since, the divisor at the last step is 51, ∴ hcf of 867 and 255 is 51. Class 10 real numbers ex 1.2 – 7 questions based on fundamental theorem of arithmetic, lcm and hcf; class 10 real numbers ex 1.3 – 3 questions based on rational and irrational numbers; class 10 real numbers ex 1.4 – 3 questions based in which you have to expand fractions into decimals and write decimals in their fraction form. Some questions from ncert solutions for class 10 maths chapter 1 real numbers. q.1 use euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9m 1 or 9m 8. solution. using euclid division algorithm, we know that a = bq r, osrs b — (1) let a be any positive integer, and b = 3. Regarding decimal expansion of rational number x =pq integers and q not = 0, we have, where p, q are co prime (i) x is a terminating decimal expansion if the prime factorization of q is of the form 2m 5n where m, n are non negative integers. (ii) if prime factorisation of q is not of the form 2m 5n then x is a non terminating repeating decimal.
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