ACTIVITY 2: Multiplying Numbers up to Three Digits by Numbers up to Two Digits without Regrouping

Answer

1.) 223 x 22

= (200 + 20 + 3) x ( 20 + 2)

= (200 + 20 + 3)x 20 + (200 + 20 + 3)x 2

= 4, 000 + 400 + 60 + 400 + 40 + 6)

Final Product = 4, 906

2.) 123 x 21

= (100 + 20 + 3) x (20+ 1)

= (100 + 20 + 3) x20 + (100 + 20 + 3) x 1

= 2, 000 + 400 + 60 + 100 +20 + 3

Final Product = 2, 583

3.) 322x 12

= ( 300 + 20 + 2) x (10+2)

= ( 300 + 20 + 2) x10 + ( 300 + 20 + 2) x 2

= 3,000 + 200 + 20 + 600 + 40 + 4

Final Product = 3, 864

4.) 302 x 11

= (300 + 0 + 2) x (10 + 1)

= (300 + 0 + 2) x10 + (300 + 0 + 2) x 1

= 3, 000 + 0 + 20 + 300 + 0 + 2

Final Product = 3, 322

5.) 113 x 32

= (100 + 10 + 3) x (30+2)

= (100 + 10 + 3) x 30 + (100 + 10 + 3) x 2

= 3,000 + 300 + 90 + 100 + 10 + 6

Final Product = 3, 506