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Real Numbers Class 8 Math Worksheet – 50 Marks
[Real Numbers]
(1) Convert the following rational numbers into decimal fractions and separate repeating and non-repeating decimals. [1 × 6] = 6
(i) 5/9
(ii) 2/3
(iii) 4/6
(iv) 11/12
(v) 1/9
(vi) 6/7
(vii) 25/4
(viii) 22/7
(ix) 13/2
(x) 21/8
(xi) 27/4
(xii) 10/3
(2) Write the summation patterns for the following squares. [1 × 4] = 4
(i) 82
(ii) 52
(iii) 72
(vi) 32
(3) Find the square root of the following by division method. [1 × 6] = 6
(i) 240102
(ii) 55894
(iii) 13683
(iv) 27221
(v) 10328629
(vi) 75290
(4) Find the square root of the following fractions by division method. [1 × 4] = 4
(i) 122/445
(ii) 169/254
(iii) 5 41/32 1/2
(iv) 1024/1115
(5) Find the square root of the following decimals by division method. [1 × 6] = 6
(i) 2357.7858
(ii) 10.12
(iii) 20.5362
(iv) 428.8692
(v) 0.5782
(vi) 9672.568972
(6) Find the square root of the following upto two decimal places. [1 × 4] = 4
(i) 34.004
(ii) 28.7
(iii) 63.87
(iv) 968.068
(7) Convert the following rational numbers into decimal fractions and separate terminating and non-terminating decimals. [1 × 4] = 4
(i) 4/5
(ii) 5/8
(iii) 2/5
(iv) 5/7
(8) Find the square root of the following decimals by prime factorization. [1 × 4] = 4
(i) 12.27
(ii) 1.69
(iii) 1.22
(iv) 1.21
(9) A rectangular field has an area 14400 sq. meter. Its length is twice as long as its width. What is the length of its sides? [1 × 3] = 3
(10) Find the number of digits in the square root of the following perfect square [1 × 3] = 3
(i) 68625
(ii) 36862
(iii) 7068453
(iv) 5687902
(11) A gardener wants to plant 144500 trees in his field in such a way that the number of trees in a row is equal to the number of rows. How many trees will he plant in each row? [1 × 3] = 3
(12) Find the number of digits in the square root of the following numbers. Also find the square root. [1 × 3] = 3
(a) 485209
(b) 68689132
(c) 19372902