Identify each property?

Question

1. 5(a+3b) = 5a+15b 
2. 4x+3 = 3+4x 
3. 7 (8×3) = (7×8)×3 
4. 92+0= 92 
5. 7 (9) = 9 (7) 
6. 66 (1) = 66

Answer 1

1) 5( a + 3b) = 5a + 15b

Left side expression is 5( a + 3b)

Distribute terms using distributive property: a(b + c) = ab + ac.

= 5(a) + 5(3b)

= 5a + 15b

= Right side expression.

Answer : distributive property.

Answer 2

2) 4x + 3 = 3 + 4x

Left side expression is 4x + 3

Using commutative property of addition: a + b = b + a.

= 3 + 4x

= Right side expression.

Answer : commutative property of addition.

Answer 3

3) 7( 8 * 3) = (7 * 8)3

Left side expression is 7( 8 * 3)

Using associative property of multiplication : a(b * c) = (a * b) * c.

= (7 * 8)3

= Right side expression.

Answer : associative property of multiplication.

 

Answer 4

4) 92 + 0 = 92

Left side expression is 92 + 0

Using additive identity property: a + 0 = a

= 92

= Right side expression.

Answer : Additive identity property.

 

Answer 5

5) 7(9) = 9(7)

Left side expression is 7(9)

Using commutative property of multiplication: a(b) = b(a)

= 9(7)

= Right side expression.

Answer : Commutative property of multiplication.

 

Answer 6

6) 66(1) = 66

Left side expression is 66(1)

Using multiplicative identity property: a(1) = a

= 66

= Right side expression.

Answer : Multiplicative Identity Property.