Q4 of 33 Page 21

Starting from (-1) × 5, write various products showing some pattern to show (-1) ×(-1)=1

In this question, we have


- 1 × 5 = - 5


- 1 × 4 = - 4 = - 5 + 1


- 1 × 3 = - 3 = - 4 + 1


- 1 × 2 = 2 = - 3 + 1


- 1 × 1 = - 1 = - 2 + 1


- 1 × 0 = 0 = - 1 + 1


Therefore,


- 1 × (-1) = 0 + 1 = 1


More from this chapter

All 33 →
3

For any integer a, what is (-1) × a equal to?

 3

Determine the integer whose product with (-1) is

(a) – 22


(b) 37


(c) 0

 5

Find the product, using suitable properties:

(a) 26 × (– 48) + (– 48) × (–36)


(b) 8 × 53 × (–125)


(c) 15 × (–25) × (– 4) × (–10)


(d) (– 41) × 102


(e) 625 × (–35) + (– 625) × 65


(f) 7 × (50 – 2)


(g) (–17) × (–29)


(h) (–57) × (–19) + 57

 6

A certain freezing process requires that room temperature be lowered from 40 �C at the rate of 5 �C every hour. What will be the room temperature 10 hours after the process begins?