Question

Use the properties of whole numbers and simplify.
(i) 50 × 102
(ii) 500 × 689 − 500 × 89
(iii) 4 × 132 × 25
(iv) 196 + 34 + 104

Answer 1

i) 50×(100+2)
50×102
5100
ii) 500×(689-89)
500×600
300000
iii)4×(132×25)
4×3300
13200
iv)196+34+104
334

Answer 2

Given ; (i) 50 × 102

(ii) 500 × 689 − 500 × 89

(iii) 4 × 132 × 25

(iv) 196 + 34 + 104

To Find; Use the properties of whole numbers and simplify

Solution ; (i) 50 × 102

Using distributive property

50(100+2)

5000+100

5100

(ii) 500 × 689 − 500 × 89

Using distributive property

500(689-89)

500*600

300000

(iii) 4 × 132 × 25

Using distributive property

100(130+2)

13000+200

13200

(iv) 196 + 34 + 104

Using associative property

(196+34)+104

334

Hence these can be solved using the associative and distributive law