Question

Find the product using suitable property 26×(-45)+(-45)×(-36)

Answer 1

We should use distributive property to solve this question.

Distributive Property ⇒ (a × b) + (a × c) = a × (b + c)

26 × (-45) + (-45) × (-36) = (-45) × (26 + (-36))

(-1170) + (1620) = (-45) × (26-36)

450 = (-45) × (-10)

450 = 450

∴ The product of the following is 450 using distributive property.

Additional Information

Distributive Property over Addition ⇒ (a × b) + (a × c) = a × (b + c)

Distibutive Property over Subtraction ⇒ (a × b) - (a × c) = a × (b - c)