Partial Products
Expand 23×4 into partial products.
20×4=80
3×4=12.
True or False: 6×(4+2)=(6×4)+(6×2)
True
What is the property?
6×9=9×6
Commutative Property of Multiplication
8×7
56
12×12
144
Solve 46×3 using partial products
40×3=120
6×3=18.
Total = 138.
Rewrite 7×13 with distributive property
7×(10+3)=(7×10) + (7×3).
(2×3)×4=2×(3×4)
Associative Property of Multiplication
13×6
78
23×45
1035
124×5
100×5=500
20×5=100
4×5=20.
Total = 620.
8×47 by distributive property
8×40=320
8×7=56.
Total = 376.
7×(1+9)=(7×1)+(7×9)
Distributive Property
427×3
427+427+427=1281.
(Or 400×3=1200, 20×3=60, 7×3=21 → Total: 1281.)
36×27
972
237×6
200×6=1200
30×6=180
7×6=42.
Total = 1422
Find two ways to solve for 25×16 using the distributive property
Break 16: 25×(10+6)=250+150=400
Break 25: (20+5)×16=320+80=400
Final = 400.
What is the Zero property?
Any number multiplied by 0 equals 0
(example: 7×0=0)
2,314×4
=(2000×4)+(300×4)+(10×4)+(4×4)
=8000+1200+40+16
=9256
48×56
2688
Partial products for 324×8 (showing a clear break into tens & ones):
2400 + 160 + 64
Total: 2,624
(40000) + (3200) + (240) + (72)
Total: 43,512
Give an example of the Associative Property.
Answers will vary but here's a possible response.
(2×3)×4=6×4=24 and
2×(3×4)=2×12=24
7,652×8
=(7000×8)+(600×8)+(50×8)+(2×8)
=56000+4800+400+16
=61,216
75×89
6675