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blondinia [14]
2 years ago
11

Please take a look at the picture. Please write your answer with an explanation.

Mathematics
1 answer:
g100num [7]2 years ago
8 0

Answer:

<h2><em><u>3</u></em></h2>

Step-by-step explanation:

<h3><u>Given</u><u> </u><u>question</u><u>:</u></h3>

<em>To</em><em> </em><em>simplify</em><em> </em><em>-</em><em> </em>

14 + 16 \div  {2}^{3}  - (12 +  {3}^{2} ) \div 7 + 2 \times ( - 5)

<h3><u>Solution</u><u>:</u></h3>

<em>According</em><em> </em><em>to</em><em> </em><em>PEMDAS</em><em> </em><em>rule</em><em>,</em>

  • <em>[</em><em>First</em><em> </em><em>parenthesis</em><em>]</em>

= 14 + 16 \div  {2}^{3}  - (12 +  9 ) \div 7 + 2 \times ( - 5)

= 14 + 16 \div  {2}^{3}  - 21 \div 7 + 2 \times ( - 5)

  • <em>[</em><em>Then</em><em> </em><em>exponents</em><em>]</em>

= 14 + 16 \div  8  - 21 \div 7 + 2 \times ( - 5)

  • <em>[</em><em>Then</em><em> </em><em>multiplication</em><em>]</em>

= 14 + 16 ÷ 8 - 21 ÷ 7 - 10

  • <em>[</em><em>Then</em><em> </em><em>division</em><em>]</em>

= 14 + 2 - 3 - 10

  • <em>[</em><em>Then</em><em> </em><em>addition</em><em>]</em>

= 16 - 13

  • <em>[</em><em>Then</em><em> </em><em>subtraction</em><em>]</em>

= <em><u>3</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

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