15 plus 45 expressed in distributive property is
![15 * 1 + 3 * 15 = 15(1 + 3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/aumvua7r3k6u2xm69l64lx279h7kptadya.png)
Solution:
We have to write distributive property to express 15 plus 45
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum
The distributive property can be generally expressed as follows:
ab + ac = a(b + c)
The given expression is:
15 + 45
This can be expressed as:
![15 = 15 * 1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4nc8o6ud2tjapybz9yvhz4jdl8f4g3am88.png)
![45 = 3 * 15](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zz4iili7kdnou5dh1p1gq1wjiim3iaajoe.png)
Therefore, the given expression can be written as:
![15 + 45 = 15 * 1 + 3 * 15](https://img.qammunity.org/2021/formulas/mathematics/middle-school/d28e2pk4p80nkyig4qzd1csru8tjgszu4w.png)
Taking 15 as common factor,
![15 * 1 + 3 * 15 = 15(1 + 3)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/aumvua7r3k6u2xm69l64lx279h7kptadya.png)
Thus the above expression is of distributive form