Question

Sense or nonsense Peter and Jade are using what they know about properties to write an expression equivalent to 2×(n+6)+3 whose answer makes sense? Whose answer is nonsense? Explain your reasoning.

Answer 1

Jade because she followed the correct order of operations.

Explanation:

Always remember your order of operations.

P - parentheses

E - exponents

M - multiplication

D - division

A - addition

S - subtraction

Please Excuse My Dear Aunt Sally is the common phrase used to remember though I find PEM-DAS just as easy to remember.

Answer 2

Jade's work makes sense, Peter's does not.

Explanation:

What's wrong with Peter's work:

Peter did not apply associative property correctly. You cannot change what is inside the parenthesis. He also shouldn't be using associative property to solve this equation because it just doesn't make sense!

Jade's work:

She applied distributive property correctly and multiplied each term in the parenthesis by 2. All of her processes are logical and make sense! I could go on, but everything is correct lol

Best of wishes mate!