Question

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

Answer 1

`1560`

Explanation:

`"to use the "color(blue)"distributive property"`

`"that is " a(b+c)=ab+ac`

`"rewrite " 104" as " 100+4`

`rArr15xx104`

`=15(100+4)`

`=(15xx100)+(15xx4)`

`=1500+60`

`=1560`

Answer 2

`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 `(100+4)`

`rarr15(100+4)`

`rarr15*100+15*4`

`rarr1500+60`

`color(green)(rArr1560`

Hope this helps.. :)