Decimal Expansion Of Rational Numbers Class10 Mathematics Real

Decimal Expansion Of Rational Numbers Class10 Mathematics Real 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. Go through the following examples to understand the concept of real numbers and their decimal expansion. example 1: prove that 3.1426 is a rational number. solution: to prove: 3.1426 is a rational number. the number 3.1426 can be written as 31426 10000. 31426 10000 = 3.1426.

Real Numbers Class 10 Maths Revisiting Rational Numbers And Their 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. 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. We use the fundamental theorem of arithmetic for two main applications. first, we use it to prove the irrationality of many of the numbers you studied in class ix, such as 2, 3 and 5 . second, we apply this theorem to explore when exactly the decimal. p. expansion of a rational number, say ( q 0) .