Math, asked by pundhirankit15, 6 months ago

using the distributive law to simplify (-4) x 20+20 (-5)​

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Answered by dp14380dinesh
5

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By using the distributive law,

(i) \: 673 \times 272 - 673 \times 72</p><p>= 673 ×\: (272 - 72)</p><p>= 673 \times 200</p><p>= 134600 \: ans.

(ii) \: (546 )\times ( - 22) + ( - 546) \times ( - 78)</p><p>= (546 )\times ( - 22) - ( 546) \times ( - 78)</p><p>= (546 )\times ( - 22 - ( - 78) )</p><p>= 546 \times ( - 22 + 78)</p><p>= 546 \times 56</p><p>= 30576 \: ans.

(iii) \: 7250 \times ( - 31) + ( - 7250 )\times 69</p><p>= \: 7250 \times ( - 31) - ( 7250 )\times 69</p><p>= \: 7250 \times ( - 31 - 69)</p><p>= 30576 \: ans.

(iii) \: 7250 \times ( - 31) + ( - 7250 )\times 69

(iv) \: 199 \times 26743 - ( - 26743)</p><p>= 199 \times 26743 + 26743 \times 1</p><p>= 26743 \times (199 + 1)</p><p>= 26743 \times 200</p><p>= 5348600 \: ans.

(v) \: ( - 4) \times 20 - ( - 4) \times 15 - ( - 4) \times 62 + ( - 4) \times 97</p><p>= ( - 4) × ( 20 - 15 - 62 + 97)</p><p>= ( - 4) × ( 117 - 77)</p><p>= ( - 4) \times 40</p><p>= - 160 \: ans.

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