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Standard 1- Question 8: 4[15-3(3+8)]

  1. 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

  1. 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