Page 10 - 新思维数学活动用书7 样章

1.2 Multiplying and dividing integers

11 Copy and complete this multiplication grid.
× 6 4

−30

−32

Challenge

12 In these diagrams, the integer in a square is the product of the integers in the
circles next to it.
a –3 5 b 10 –2

6 –2 –3 5

i Copy each diagram and fill in the squares.
ii Add the numbers in the squares in each diagram.
13 a This diagram is similar to the diagrams in Question 10.
–12
Copy and complete the diagram. All the numbers are integers.
b Is there more than one solution? Have you found all of the solutions? –15 –8
14 a Use the integers 3, 4 and −5 to complete this calculation.

( + ) × = −8 –10
b What is the largest answer you can get when you put the integers 2,

−4 and 7 in this calculation?
( + ) ×
Give evidence to explain your answer.
15 a The product of two integers is −20. Find the largest possible value of the sum of the
two integers.

b The product of two integers is −30. Find the largest possible sum of the two integers.
c Can you generalise the result of part a and part b?

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