Question

7. Find the value using suitable property.

(i) 8 × 53 × (-125)

(ii) (-37) × 103

(iii) 6458 x 99 - ( -6458)

(iv) 2369x (-487) – 1369 x (-487) explain it please​

Answer 1

Solution:

$[/tex]</p><p><strong>(i) 8 × 53 × (-125)</strong></p><ul><li>Here we use <u>associative property</u> of multiplication.</li></ul><p>a × (b × c) = (a × b) × c</p><p>⇒ 8 × 53 × (-125)</p><p>= 8 × (-125) × 53</p><p>= -1000 × 53</p><p>= <strong><u>-53000</u></strong></p><p>[tex]$

(ii) (-37) × 103

• Here apply distributive property of multiplication over addition.

So, 103 can be written as (100 + 3)

⇒ (-37) × (100 + 3)

= (-37 × 100) + (-37 × 3)

= -3700 - 111

= -3811

(iii) 6458 × 99 - (-6458)

• Here, we again apply distributive law of multiplication over addition.

⇒ 6458 × (99 + 6458)

= 6458 (99) + 6458 (6458)

= 639342 + 41705764

= 42345106

(iv) 2369 × (-487) - 1369 × (-487)

• Here, apply the converse of distributive law of multiplication over addition.

⇒ (2369 - 1369) × (-487)

= 1000 × (-487)

= -487000