Question

Use the distributive law to simplify and work out
the following.
(i) 673 x 272 - 673 x 72
(ii) (-546) *(-22)+(-546) X (-78)
(iii) 7250 X (-31)+(-7250) x 69 $
Chevy 199 X 26743-(-26743)
(v) (-4) X 20-(-4)X 15-(-4) 62+(-4)X 97​

Answer 1

$\huge{\mathfrak{\underline{\red{Solutions!}}}}$

By using the distributive law,

$(i) \: 673 \times 272 - 673 \times 72$

$= 673 ×\: (272 - 72)$

$= 673 \times 200$

$= 134600 \: ans.$

$(ii) \: (546 )\times ( - 22) + ( - 546) \times ( - 78)$

$= (546 )\times ( - 22) - ( 546) \times ( - 78)$

$= (546 )\times ( - 22 - ( - 78) )$

$= 546 \times ( - 22 + 78)$

$= 546 \times 56$

$= 30576 \: ans.$

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

$= \: 7250 \times ( - 31) - ( 7250 )\times 69$

$= \: 7250 \times ( - 31 - 69)$

$= 7250 \times ( - 100)$

$= - 725000 \: ans.$

$(iv) \: 199 \times 26743 - ( - 26743)$

$= 199 \times 26743 + 26743 \times 1$

$= 26743 \times (199 + 1)$

$= 26743 \times 200$

$= 5348600 \: ans.$

$(v) \: ( - 4) \times 20 - ( - 4) \times 15 - ( - 4) \times 62 + ( - 4) \times 97$

$= ( - 4) × ( 20 - 15 - 62 + 97)$

$= ( - 4) × ( 117 - 77)$

$= ( - 4) \times 40$

$= - 160 \: ans.$

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Answer 2

$\huge{\mathfrak{\underline{\red{Solutions!}}}}$

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

HopeItHelps♡

#bebrainly

ANSWER