Use convenient groupings and find the values of-i- 18 times- - minus-27- times- 30-ii- - minus-8- times- - minus-63- times- 9-iii- - minus-17- times- - minus-23- times- 41-iv- - minus-51- times- - minus-47- times- - minus-19-

(i) 18 times; ( ndash;27) times; 30 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; = ( ndash;27) times; [1 ...

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Byju's Answer

Standard VIII

Mathematics

Distributive Property of Rational Numbers

Use convenien...

Question

Use convenient groupings and find the values of
(i) 18 × (−27) × 30
(ii) (−8) × (−63) × 9
(iii) (−17) × (−23) × 41
(iv) (−51) × (−47) × (−19)

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Solution

(i) 18 × (–27) × 30
= (–27) × [18 × 30]
= (–27) × 540
= –14580

(ii) (–8) × (–63) × 9
= [(–8) × (–63)] × 9
= 504 × 9
= 4536

(iii) (–17) × (–23) × 41
= [(–17) × (–23)] × 41
= 391 × 41
= 16031

(iv) (–51) × (–47) × (–19)
= [(–51) × (–47)] × (–19)
= 2397 × (–19)
= – 45543

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Q. Use convenient groupings and find the values of
(i) 18 × (−27) × 30
(ii) (−8) × (−63) × 9
(iii) (−17) × (−23) × 41
(iv) (−51) × (−47) × (−19)

In an equilateral triangle ABC , match the following ratios to the values

$\begin{matrix} T r i g n o m e t r i c r a t i o s & V a l u e s (i) t a n 60^{\circ} & (a) \frac{1}{\sqrt{3}} (i i) c o t 30^{\circ} & (b) \sqrt{3} (i i i) c o s e c 30^{\circ} & (c) 2 (i v) s e c 30^{\circ} & (d) \frac{2}{\sqrt{3}} \end{matrix}$

Evaluate using the identity :

(i) (34)²; (ii) (10.2)²; (iii) (53)²; (iv) (41)².

In an equilateral triangle ABC , match the following ratios to the values

\begin{matrix} Trigonometric Ratios & Values (i) t a n 60^{o} & (a) \frac{1}{\sqrt{3}} (i i) c o t 30^{o} & (b) \sqrt{3} (i i i) c o s e c 30^{o} & (c) 2 (i v) s e c 30^{o} & (d) \frac{2}{\sqrt{3}} \end{matrix}

Using a²− b² = (a + b) (a − b), find

(i) 51² − 49² (ii) (1.02)² − (0.98)² (iii) 153² − 147²

(iv) 12.1² − 7.9²

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Use convenient groupings and find the values of (i) 18 × (−27) × 30 (ii) (−8) × (−63) × 9 (iii) (−17) × (−23) × 41 (iv) (−51) × (−47) × (−19)

Use convenient groupings and find the values of
(i) 18 × (−27) × 30
(ii) (−8) × (−63) × 9
(iii) (−17) × (−23) × 41
(iv) (−51) × (−47) × (−19)