What is the distributive property of multiplication?

Solution:

The distributive property of multiplication states that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

The distributive property of multiplication states that a × (b + c) = (a × b) + (a × c)

For Example: 2 × (4 + 5) = (2 × 4) + (2 × 5) = 18.

Now, if we solve the left-hand side of the equation, we will solve the brackets first and then we will multiply the sum by the number given outside the brackets. 2 × (4 + 5) = 2 × 9 = 18. If we solve the right-hand side of the equation using the distributive property of multiplication, we solve it in this way: (2 × 4) + (2 × 5) = 8 + 10 = 18. Hence, in both ways, we get the same answer 18.

Therefore, the distributive property of multiplication can be expressed as: a × (b + c) = (a × b) + (a × c)

What is the distributive property of multiplication?

Summary:

The distributive property of multiplication can be written as: a × (b + c) = (a × b) + (a × c)