Evaluate the given expression using order of operations(PEMDAS).

1. 11-5+8-24
Answer:
Solution:

2. 16-7+12-22
Answer:
Solution:

3. 7+(-12)8-3
Answer:
Solution:

4. 15-{4-2-36-4}
Answer:
Solution:

5. 32÷(-2)3-5{7-6-25}
Answer:
Solution:

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Sagot :

DIRECTION :

  • Evaluate the given expression using order of operations (PEMDAS)

[tex]\red{⊱┈─────────────────────────┈⊰}[/tex]

1)

  • Follow the PEMDAS order of operations
  • Add and subtract (left to right)

[tex] \tt \orange{11 - 5 = 6} \\ \tt \orange{ = 6 + 8 - 24}[/tex]

[tex] \tt \orange{6 + 8 = 14} \\ \tt \orange{ = 14 - 24} \\ \tt \orange{14 - 24 = - 10}[/tex]

ANSWER :

[tex]\large\colorbox{black}{\color{skyblue}{\boxed{ - 10}}}[/tex]

=========================================

2)

  • Follow the PEMDAS order of operations
  • Add and subtract (left to right)

[tex] \tt \orange{16 - 7 = 9} \\ \tt \orange{9 + 12 - 22}[/tex]

[tex] \tt \orange{9 + 12 = 21} \\ \tt \orange{ = 21 - 22} \\ \tt \orange{21 - 22 = - 1}[/tex]

ANSWER :

[tex]\large\colorbox{black}{\color{skyblue}{\boxed{ - 1}}}[/tex]

=========================================

3)

  • Follow the PEMDAS order of operations
  • Multiply and Divide (left to right)

[tex] \tt \orange{( - 12) \times 8 = - 96 } \\ \tt \orange{7 - 96 - 3}[/tex]

  • Add and Subtract (left to right)

[tex] \tt \orange{7 - 96 - 3} \\ \tt \orange{7 - 96 = - 89} \\ \tt \orange{ = - 89 - 3} \\ \tt\orange{ - 89 - 3 = - 92}[/tex]

ANSWER :

[tex]\large\colorbox{black}{\color{skyblue}{\boxed{ = - 92}}}[/tex]

========================================

4)

  • Follow the PEMDAS order of operations
  • Calculate within parentheses
  • Add and Subtract (left to right)

[tex] \tt \orange{4 - 2 = 2} \\ \tt \orange{ = 2 - 36 - 4} \\ \tt \orange{2 - 36 = - 34} \\ \tt \orange{ = - 34 - 4} \\ \tt \orange{ - 34 - 4 = - 38}[/tex]

  • Add and Subtract (left to right)

[tex] \tt \orange{15 - ( - 38) = 53}[/tex]

ANSWER :

[tex]\large\colorbox{black}{\color{skyblue}{\boxed{53}}}[/tex]

=========================================

5)

  • Follow the PEMDAS order of operations
  • Calculate within parentheses

[tex] \tt \orange{7 - 6 - 25}[/tex]

  • Add and Subtract (left to right)

[tex] \tt \orange{7 - 6 = 1} \\ \tt \orange{ = 1 - 25} \\ \tt \orange{1 - 25 = - 24}[/tex]

[tex] \tt \orange{32 \div ( - 2) \times 3 - 5( - 24)}[/tex]

  • Multiply and Divide (left to right)

[tex] \tt \orange{32 \div ( - 2) \times 3} \\ \tt \orange{ = - 16 \times 3 = - 48}[/tex]

  • Multiply and Divide (left to right)

[tex] \tt \orange{5( - 24) = - 5 \times 24 = - 120}[/tex]

  • Add and Subtract (left to right)

[tex] \tt \orange{ -( - 120 )= + 120} \\ \tt \orange{ = - 48 + 120 = 72}[/tex]

ANSWER :

[tex]\large\colorbox{black}{\color{skyblue}{\boxed{72}}}[/tex]

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