# How do you use the distributive property to rewrite and evaluate 15*104?

Apr 27, 2017

$1560$

#### Explanation:

$\text{to use the "color(blue)"distributive property}$

$\text{that is } a \left(b + c\right) = a b + a c$

$\text{rewrite " 104" as } 100 + 4$

$\Rightarrow 15 \times 104$

$= 15 \left(100 + 4\right)$

$= \left(15 \times 100\right) + \left(15 \times 4\right)$

$= 1500 + 60$

$= 1560$

Apr 27, 2017

$1560$

#### Explanation:

color(blue)(15*104

Our aim is to use the distributive property to evaluate it faster than the normal method

Distributive property:

color(brown)(a(b+c)=ab+ac

Split $104$ as $\left(100 + 4\right)$

$\rightarrow 15 \left(100 + 4\right)$

$\rightarrow 15 \cdot 100 + 15 \cdot 4$

$\rightarrow 1500 + 60$

color(green)(rArr1560

Hope this helps.. :)