Decimal Expansion Of Rational Numbers Real Numbers Cbse Rbse Class 10 | decimal expansions, rational number | maths chapter 1 real numbers | cbse & rbse 2022questions based on fundamental theorem of arithmetic | #singh cbse exam, class 10. 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.
Rational Numbers Their Decimal Expansion Class X Cbse Icse Rbse 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. Hello friends,check out our interesting video on real numbers. this video belongs to math cbse ncert class 10 chapter 1 real numbers decimal expansion of. 6. rational numbers rational numbers are any numbers that can be expressed in the form of, where a and b are integers, and b ≠ 0. they can always be expressed by using terminating decimals or repeating decimals. examples:36.8, 0.125, 4.5 irrational numbers irrational numbers are any numbers that cannot be expressed in the form of, where a and b are integers, and b ≠ 0. they are expressed. Write the condition of terminating decimal expansion. answer: let x = \(\frac{p}{q}\) be a rational number such that the prime factorisation of q is of the fonn 2 n 5 m, where n, m are non negative integers, then the decimal expansion of x is terminating. question 15. find the hcf of 48 and 105. answer: 48 and 105 prime factors of 48 = 2 × 2.
Real Numbers Decimal Expansion Of Rational Numbers Letstute C 6. rational numbers rational numbers are any numbers that can be expressed in the form of, where a and b are integers, and b ≠ 0. they can always be expressed by using terminating decimals or repeating decimals. examples:36.8, 0.125, 4.5 irrational numbers irrational numbers are any numbers that cannot be expressed in the form of, where a and b are integers, and b ≠ 0. they are expressed. Write the condition of terminating decimal expansion. answer: let x = \(\frac{p}{q}\) be a rational number such that the prime factorisation of q is of the fonn 2 n 5 m, where n, m are non negative integers, then the decimal expansion of x is terminating. question 15. find the hcf of 48 and 105. answer: 48 and 105 prime factors of 48 = 2 × 2. Thus we conclude that the decimal expansion of every rational number is either terminating or non terminating repeating. 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. Decimal expansion classification: classify a list of given decimal numbers as terminating or non terminating recurring decimals. conclusion “real numbers” is a crucial chapter that sets the tone for high level mathematics in cbse class 10.
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