Evaluate:

(i) 53 × 55; (ii) 102 × 106; (iii) 34 × 36; (iv) 103 × 96.

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Solution

(i)

(ii)

(iii)

(iv)

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Q. Evaluate the following:
(i) 102 × 106
(ii) 109 × 107
(iii) 35 × 37
(iv) 53 × 55
(v) 103 × 96
(vi) 34 × 36
(vii) 994 × 1006

Use the formula to find the values.

(i) 502 × 498 (ii) 97 × 103 (iii) 54 × 46 (iv) 98 × 102

Without using trigonometric tables, evaluate:

$(i) c o s 48^{\circ} - s i n 42^{\circ}$

$(i i) c o s e c 31^{\circ} - s e c 59^{\circ}$

$(i i i) c o t 34^{\circ} - t a n 56^{\circ}$

$(i v) c o s^{2} 13^{\circ} - s i n^{2} 77^{\circ}$ [4 MARKS]

Find the HCF of the following numbers by prime factorisation method ?
$(i) 18, 27, 36$
$(i i) 106, 159, 265$
$(i i i) 10, 35, 40$
$(i v) 32, 64, 96, 128$

Evaluate these using identity:

(i) 55 × 45; (ii) 33 × 27; (iii) 8.5 × 9.5; (iv) 102 × 98.

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Evaluate: (i) 53 × 55; (ii) 102 × 106; (iii) 34 × 36; (iv) 103 × 96.

(i) (ii) (iii) (iv)

Evaluate:

(i) 53 × 55; (ii) 102 × 106; (iii) 34 × 36; (iv) 103 × 96.

(i)

(ii)

(iii)

(iv)