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Integers, SM-Bank 066

When discussing multiplication of directed numbers with his friend, Jeremy remarked

 'If the number of minus signs in the question is odd I know
 the answer is going to be negative and if the number of minus
 signs is even I know the answer is going to be positive'.

Is Jeremy correct? Justify your answer with examples. (3 marks)

--- 7 WORK AREA LINES (style=lined) ---

Show Answers Only

`text(Examples: odd number of minus signs)`

`1.\ -1xx-1xx-1=1xx-1=-1`

`2.\ -1xx-1xx-1xx-1xx-1=1xx(-1xx-1xx-1)=1xx1xx-1=1xx-1=-1`

`text(Examples: even number of minus signs)`

`1.\ -1xx-1=1`

`2.\ -1xx-1xx-1xx-1=1xx(-1xx-1)=1xx1=1`

`:.\ text(An odd number of minus signs = negative answer)`

`text(and an even number of minus signs = positive answer.)`

Show Worked Solution

`text(Examples: odd number of minus signs)`

`1.\ -1xx-1xx-1=1xx-1=-1`

`2.\ -1xx-1xx-1xx-1xx-1=1xx(-1xx-1xx-1)=1xx1xx-1=1xx-1=-1`

`text(Examples: odd number of minus signs)`

`1.\ -1xx-1=1`

`2.\ -1xx-1xx-1xx-1=1xx(-1xx-1)=1xx1=1`

`:.\ text(An odd number of minus signs = negative answer)`

`text(and an even number of minus signs = positive answer.)`

Filed Under: Computation With Integers Tagged With: num-title-ct-core, smc-4209-60-Multiply/Divide

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