Identify the Property: Commutative, Associative or Distributive?
A) 3 x (7+4) = (3x7) + (3x4)
B) (5+9) + 6 = 6 + (5+9)
C) (5+9) + 6 = 5 + (9+6)
D) 8 + (2+4) = 8 + (4+2)
E) (7x12) + (7x5) = 7 x (12+5)
F) 10 x (9x3) = (10x9) x 3
G) (8–3) x 6 = (8x6) – (3x6)
H) 14 x (2x7) = (2x7) x14
I) (8x15) + (4x15) = (8+4) x 15
J) (4x18) x 10 = 4 x (18x10)
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Identify the property shown by the equation
7+(5+8)=(7+5)+8
a. Commutative property
b. Associative property
c. Identity property
d. Distributive property
A) This equation demonstrates the distributive property. To verify this, you can use the distributive property by multiplying 3 by both terms inside the parentheses: 3 x (7 + 4) = (3 x 7) + (3 x 4)
B) This equation shows the associative property. To confirm this, you can rearrange the terms within the parentheses: (5 + 9) + 6 = 6 + (5 + 9)
C) This equation illustrates the associative property. To validate this, you can rearrange the terms within the parentheses: (5 + 9) + 6 = 5 + (9 + 6)
D) This equation showcases the associative property. To verify this, you can rearrange the terms within the parentheses: 8 + (2 + 4) = 8 + (4 + 2)
E) This equation demonstrates the distributive property. To confirm this, you can use the distributive property by multiplying 7 by both terms inside the parentheses: (7 x 12) + (7 x 5) = 7 x (12 + 5)
F) This equation shows the associative property. To validate this, you can rearrange the terms within the parentheses: 10 x (9 x 3) = (10 x 9) x 3
G) This equation showcases the distributive property. To verify this, you can use the distributive property by multiplying 6 by both terms inside the parentheses: (8 – 3) x 6 = (8 x 6) – (3 x 6)
H) This equation demonstrates the associative property. To confirm this, you can rearrange the terms within the parentheses: 14 x (2 x 7) = (2 x 7) x 14
I) This equation shows the distributive property. To validate this, you can use the distributive property by multiplying 15 by both terms inside the parentheses: (8 x 15) + (4 x 15) = (8 + 4) x 15
J) This equation showcases the associativ