properties
multiplication patterns
estimating and clustering
distribute, box or regroup
zero in the multiplier or multiplicant
50

? x ? = 0

Zero property

50

10 x 2

100 x 2 

1000 x 2

20

200

2,000

50

32 + 68 + 29 + 70 

200 

50

solve by regrouping

72 x 3 

216

50

232 x 10 

2,320

100

? x ? = 7,349

Identity Property

100

40 x 20

80

100

76 x 42

3,200 or 2,800 

100

solve using distributive property 

4 x 235

940

100

40,032 x 2

80,064

200

6 x ? = 12 x ?

commutative property

200

200 x 5 

1,000

200

37 + 39 + 83 + 42 + 79

280

200

solve by regrouping 

542 x 64

34,688

200

204 x 53 

10,812

300

17 X (34 + ? ) = (? X ? ) + (17 + 4 )


Distributive Property

300

700 x 2

1,400

300

$14.99 X 32

450

300

solve using box method 

614 x 28

17,192

300

322 x50

16,100

500

(8 x ?) x 14 = ? x (6 x ?)

associative property 

500

6,000 x 400

2,400,000

500

11 x 28 x 9 x 32

90,000

500

solve using box method

545 x 132

71,940

500

720x203

146,160