Find the product, using suitable property: 26 × ( - 48 ) + ( - 48 ) × ( - 36 )

The Distributive Property of Multiplication over Addition of Integers states that: For any three integers a , b and c , a × b + a × c = a × b + c Here, a = - 48 , b = 26 , c = - 36 ∴ 26 × ( - 48 ) + ( - 48 ) × ( - 36 ) = - 48 × 26 + ( - 36 ) = - 48 × ( - 10 ) = 480 Hence, the required product is 480 .

Find the product, using suitable property: 26 × ( - 48 ) + ( - 48 ) × ( - 36 )

The Distributive Property of Multiplication over Addition of Integers states that: For any three integers a , b and c , a × b + a × c = a × b + c Here, a = - 48 , b = 26 , c = - 36 ∴ 26 × ( - 48 ) + ( - 48 ) × ( - 36 ) = - 48 × 26 + ( - 36 ) = - 48 × ( - 10 ) = 480 Hence, the required product is 480 .

Find the product, using suitable property: 8 × 53 × ( - 125 )

The Associative Property of Multiplication of Integers states that, The product of three integers does not depend upon the grouping of integers. For any three integers a , b , c , we get, a × b × c = a × b × c = a × c × b Here, a = 8 , b = 53 , c = - 125 ∴ 8 × 53 × ( - 125 ) = 53 × 8 × - 125 = 53 × ( - 1000 ) = - 53000 . Hence, the required product is - 53000 .

Find the product, using suitable property: 15 × ( - 25 ) × ( - 4 ) × ( - 10 )

The Associative Property of Multiplication of Integers states that, The product of three integers does not depend upon the grouping of integers. For any four integers a , b , c , we get, a × b × c × d = a × d b × c Here, a = 15 , b = - 25 , c = - 4 , d = - 10 ∴ 15 × ( - 25 ) × ( - 4 ) × ( - 10 ) = 15 × - 10 × - 25 × - 4 = - 150 × 100 = - 15000 Hence, the required product is - 15000 .

Find the product, using suitable property: ( - 41 ) × 102

The Distributive Property of Multiplication over Addition of Integers states that: For any three integers a , b and c , a × b + a × c = a × b + c We can write: ( - 41 ) × 102 = ( - 41 ) × ( 100 + 2 ) Here, a = - 41 , b = 100 , c = 2 ∴ ( - 41 ) × 102 = ( - 41 × 100 ) + ( - 41 × 2 ) = - 4100 + ( - 82 ) = - 4182 Hence, - 4182 is the required answer.

Find the product, using suitable properties: 625 × ( - 35 ) + ( - 625 ) × 65

The Distributive Property of Multiplication over Addition of Integers states that: For any three integers a , b and c , a × b + a × c = a × b + c Using the Associative Property of Multiplication, 625 × ( - 35 ) + ( - 625 ) × 65 = 625 × ( - 35 ) + 625 × - 65 Here, a = 625 , b = - 35 , c = - 65 ∴ 625 × - 35 + 625 × - 65 = 625 × ( - 35 ) + ( - 65 ) = 625 × ( - 100 ) = - 62500 Hence, - 62500 is the required answer.

Find the product, using suitable property: 7 × ( 50 - 2 )

The Distributive Property of Multiplication over Subtraction of Integers states that: For any three integers a , b and c , a × b - c = a × b - a × c Here, a = 7 , b = 50 , c = 2 ∴ 7 × ( 50 - 2 ) = ( 7 × 50 ) - ( 7 × 2 ) = 350 - 14 = 336 Hence, the required answer is 336 .

Find the product, using suitable property: - 17 × - 29

The Distributive Property of Multiplication over Addition of Integers states that: For any three integers a , b and c , a × b + c = a × b + a × c Now, we can write, ( - 17 ) × ( - 29 ) = - 17 × ( - 30 + 1 ) So, here, a = - 17 , b = - 30 , c = 1 ∴ ( - 17 ) × ( - 29 ) = - 17 × ( - 30 + 1 ) = ( - 17 × - 30 ) + ( - 17 × 1 ) = 510 + ( - 17 ) = 493 Hence, the required product is 493 .

Find the product, using suitable property: ( - 57 ) × - 19 + 57

The Distributive Property of Multiplication over Addition of Integers states that: For any three integers a , b and c , a × b + c = a × b + a × c Now, we can write, ( - 57 ) × - 19 + 57 = ( - 57 ) × - 19 + - 57 × - 1 So, here, a = - 57 , b = - 19 , c = 1 ∴ ( - 57 ) × - 19 + 57 = ( - 57 ) × - 19 + - 57 × - 1 = - 57 × - 19 + - 1 = - 57 × - 20 = 1140 Hence, the required product is 1140 .