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The distributive law of multiplication over addition / subtraction: multiplication may be distributed over addition / subtraction.

For any three whole numbers a, b and c,a x (b + c) = (a x b) + ( a x c ) a x ( b - c ) = a x b - a x c OR (a x b ) + ( a x c ) = a x ( b + c) ( a x b ) - ( a x c) = a x ( b - c) This is called the Distributive law of Addition over multiplication for the set of W. |

1) 125 x 8 + 125 x 92

= 125 x( 8 + 92 )

= 125 x 100

= 12,500

2) 3 × (1 + 99) = (3 × 1) + (3 × 99)

= 3 + 297

= 300

3) 4 ( a + 5 )

= 4 x a + 4 x 5

= 4a + 20

4) Solve using distributive law :

250 x 998

= 250 x ( 1000 - 2)

= 250 x 1000 - 250 x 2

= 250,000 - 500

= 249,500

5) Solve using distributive law :

94 x 123 + 6 x 123

= 123 x ( 94 + 6 )

= 123 x 100

= 12,300

6) Solve using distributive law :

5(b -4)= 12

5 x b - 5 x 4 = 12

5b - 20 = 12

5b = 12 + 20

5b = 22

∴ b = 22/5 = 4.4

• Closure property

• Commutative property

• Associative property

• Additive Identity

• Distributive property

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