Stage 8 - Q1 - 2 marks
Calculate.
Hint
Determine the sign before calculating the magnitude.
Stage 8 - Q2 - 2 marks
Calculate.
Hint
Determine the sign before calculating the magnitude.
Stage 8 - Q3 - 3 marks
Calculate in the correct order.
Hint
Determine the sign before calculating the magnitude.
Stage 8 - Q4 - 3 marks
Calculate in the correct order.
Hint
Determine the sign before calculating the magnitude.
Stage 8 - Q5 - 4 marks
A quiz score starts at 28. Each incorrect answer changes it by -7. There are 4 incorrect answers and no other changes. Find the final score.
Hint
Determine the sign before calculating the magnitude.
Stage 8 - Q6 - 4 marks
A quiz score starts at 39. Each incorrect answer changes it by -6. There are 7 incorrect answers and no other changes. Find the final score.
Hint
Determine the sign before calculating the magnitude.
Stage 8 - Q7 - 5 marks
Use the distributive law to explain why \((-8)\times (-5)=40\), without quoting the sign rule.
Hint
Expand a product whose bracket equals zero.
Stage 8 - Q8 - 5 marks
Three non-zero integers have product -84. Two are -3 and -2. Find the third integer and explain its sign.
Hint
Determine the sign and product of the two known integers first.
Stage 8 - Q9 - 5 marks
Choose three different numbers from -5,-2, 3, 4. Find the greatest possible product and justify that no other choice is larger.
Hint
First decide which selections can have positive products.
Stage 8 - Q10 - 5 marks
Place the integers -2, -3 and 4 in the bottom row of a multiplication pyramid. Each entry above is the product of its two neighbours below. Find the greatest possible top value and justify your choice.
Hint
Write the top as an expression involving the three bottom entries.