Question

Find the answers to the following, without actually multiplying, using the distributive property of multiplication. (i) (43 × 2) + (43 × 8) (ii) (607 x 107) - (607 x 7) (iii) (794 x 9) + (794 x 991) (iv) 60 x 101 (v) 99 x 5 (vi) 5005 x 2 (vii) 4998 x 2 (viii) 1009 x 3 (ix) 990 x 4 (x) 9999 x 2​

Answer 1

(i) (43 × 2) + (43 × 8)

= (43 × 2) + 43 × 8)

= 86 + 344

= 430

(ii) (607 x 107) - (607 x 7)

= 607 × (107 - 7)

= 607 × 100

= 60,700

(iii) (794 x 9) + (794 x 991)

= 794 × (9 + 991)

= 794 × 1000

= 794,000

(iv) 60 x 101

= 60 × (100 + 1)

= (60× 100) + 60

= 6000 + 60

= 6060

(v) 99 x 5

= 99 × 5

= 495

(vi) 5005 x 2

= 5005 × 2

= 10010

(vii) 4998 x 2

= 4998 × 2

= 9996

(viii) 1009 x 3

= 1009 × 3

= 3027

(ix) 990 x 4

= 990 × 4

= 3960

(x) 9999 x 2

= 9999 × 2

= 19,998