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Standard 1- Question 8: 4[15-3(3+8)]
- Context
This problem deals with multiplication, addition, subtraction and the order of operation.
2. Observations
Brackets and parentheses appear, addition and subtraction appear, multiplication appears.
3. Questions
What does the order of operation tell us to do? What does it mean when there’s 2 types of parentheses? Will our answer be positive or negative?
4. Strategies
Evaluate parentheses first and follow the order for operation.
5. Concept
Order of operation
6. Conclusion
4[15-3(3+8)]
Parentheses: 4[15-3(11)]
Multiplication: 4(15-33)
Subtraction: 4(-18)
Final Answer: -72
Standard 2- Question 3: ( -4^3/-2^3)^2
- Context
This problem deals with negative integers, division and exponents.
2. Observations
Negative integers appear, division appears and exponents appear.
3. Questions
What does the order of operations tell us to do? What does it mean when there’s 2 sets of exponents? Will our answer be positive or negative?
4. Strategies
Evaluate parentheses first and follow the order of operations.
5. Concepts
PEMDAS, simplify the division inside the parentheses.
6. Conclusion
(-4^3/-2^3)^2
-4^3= -64
-2^3= -8
-64/-8= 8
8^2= 64
Final Answer: 64
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