Question

[−111×(−49)]+[−111×249 ]=(−111)×_=_

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{[-111{\times}(-49)]+[-111{\times}249]}$

$\underline{\textbf{To find:}}$

$\textsf{The value of}$

$\mathsf{[-111{\times}(-49)]+[-111{\times}249]}$

$\underline{\textbf{Solution:}}$

$\textsf{Consider,}$

$\mathsf{[-111{\times}(-49)]+[-111{\times}249]}$

$\mathsf{Using,}$

$\boxed{\mathsf{a{\times}b+a{\times}c=a{\times}(b+c)}}$

$\mathsf{=-111{\times}(-49+249)}$

$\mathsf{=-111{\times}200}$

$\mathsf{=-22200}$

$\implies\boxed{\mathsf{[-111{\times}(-49)]+[-111{\times}249]=-22200}}$

Answer 2

SOLUTION

TO FILL IN THE BLANK

[−111×(−49)]+[−111×249 ]=(−111)×_=_

FORMULA TO BE IMPLEMENTED

Distributive PROPERTY

For there real numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

EVALUATION

[−111×(−49)]+[−111×249 ]

= - 111 × ( - 49 + 249 )

= - 111 × 200

= - 22200

FINAL ANSWER

[−111×(−49)]+[−111×249 ] = (−111)× 200 = - 22200

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