NCERT/CBSE MATHS Class 10 Ex- 1.4 Q No. 1 Solutions : Without actually performing the long division, state whether the following rational numbers will have a terminating

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NCERT/CBSE MATHS Class 10 Ex- 1.4 Q No.1 Solutions : Without actually performing the long division, state whether the following rational numbers will have a terminating expansion or a non terminating repeating decimal expansion:

(i) 13/3125

(ii) 17/8

(iii) 64/455

(iv) 15/1600

(v) 29/343

(vi) 23/25

(vii) 129/257

(viii) 6/15

(ix) 35/50

(x) 77/210

Hy Friends Welcome On NCERT MATHS SOLUTIONS !! Today we are going to solve the Question : ”Without actually performing the long division, state whether the following rational numbers will have a terminating expansion or a nonterminating repeating decimal expansion: (i) 13/3125 (ii) 17/8 (iii) 64/455 (iv) 15/1600 (v) 29/343 (vi) 23/25 (vii) 129/257 (viii) 6/15 (ix) 35/50 (x) 77/210 of Exercise 1.3 Question No 2 Solutions (Real Numbers) of Class 10th, which will prove to be very helpful for you.

CBSE/NCERT MATHS Class 10 Ex- 1.4 Q No.4 Solutions

If you are a student of CBSE, today we are going to give you the CBSE / NCERT Chapter : Real Numbers Exercise 1.3 Question No – 3 Solutions . Hope you like this post about Class 10th Maths Solution.

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Real Numbers CHAPTER : 1

Symbol of real numbers (ℝ) In mathematics, the real number is the value presented to any amount corresponding to the simple line. Actual numbers include all rational numbers such as -5 and fractional numbers such as 4/3 and all irrational numbers such as √2 (1.41421356 …, square root of 2, an unregulated algebraic number). By incorporating the ample numbers in the actual numbers, they can be presented from the eternal points that can be attributed on a line in the form of a real number line.

Exercise- 1.4 Question No. 1 : Without actually performing the long division, state whether the following rational numbers will have a terminating expansion or a nonterminating repeating decimal expansion: (i) 13/3125 (ii) 17/8 (iii) 64/455 (iv) 15/1600 (v) 29/343 (vi) 23/25 (vii) 129/257 (viii) 6/15 (ix) 35/50 (x) 77/210

Class 10 Exercise 1.4 Question No. 1 Solutions

(i) 13/3125

3125 = 55

The denomintor is of the form 5m . Hence, the decimal expansion of 13/3125 is terminating

(ii) 17/8

8 = 23

The denominator is of the form 2m. Hence, the decimal expansion of 17/8 is terminating.

(iii) 64/455

455 = 5×7×13

Since the denominator is not in the form 2m   5n, and it also contains 7 and 13 as its factors, its decimal  expansion will be non-terminating repeating.

(iv) 15/1600

1600 = 26×52

The denominator is of the form 2m×5n.

Hence, the decimal expansion of 15/1600 is terminating.

(v) 29/343

343 = 73

Since the denominator is not in the form 2m ×  5n, and it has 7 its factor, the decimal expansion of 29/343 is non-terminating repeating.

(vi) 23/25

The denominator is of the form 2m ×  5n.

Hence, the decimal expansion of 23/25 is terminating.

(vii) 129/257

Since the denominator is not of 129/257 is non-terminating repeating.

(viii) 6/15

= (2×3)/(3×5) = 2/5

The denominator is of the form 5n.

Hence, the decimal expansion of 6/15 is terminating.

(ix) 35/50

= (7×5)/(10×5) = 7/10

10 = 25

The denominator is of the form 2m5n.

Hence, the decimal expansion of 35/50 is terminating.

(x) 77/210

= (11×7)/(30×7) = 11/30

30 = 235

Since the denominator is not of the form 2m 5n, and it also has  3 as it factors, the decimal expansion of 77/210 is non-terminating repeating.

CLICK ON RED BOX FOR CBSE Maths Class 10 Exercise 1.4 Real Numbers Next Question Answer :-

NCERT/CBSE MATHS Class 10 Ex- 1.4 Q No.2 Solutions : Write down the decimal expansions of those rational numbers in Question 1 above which have terminating decimal expansions.

SEE NCERT Maths Class 10 Chapter 1 Ex-1.4 All Questions Solutions 

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