Page 15 - 新思维数学学生用书7 样章

1 Integers

10 a Copy and complete these divisions. –10
For example, −20 ÷ 2 = −10. ÷ 2 ÷ 4
b Can you add any more lines to the diagram? You must divide –20
by a positive integer. The answer must be an integer.
c Draw a similar diagram with −28 in the centre. ÷ 5 ÷ 10
d Compare your answer to part c with a partner’s. Do you agree?

11 In these diagrams, the integer in a square is the product of the integers
in the circles next to it. For example, −3 × 4 = −12.
Copy and complete the diagrams.

a b
–3 –12 4 6 –18

–12

2 –5 –5

Think like a mathematician

12 This diagram is similar to the diagrams in Question 11. –10
The numbers in the circles must be integers.
Copy and complete the diagram. Are there different ways –8 –30

to do this?

–24

Summary checklist

I can multiply a negative integer by a positive integer.
I can divide a negative integer by a positive integer.

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