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

2 Answers
Apr 27, 2017

#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#

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 #(100+4)#

#rarr15(100+4)#

#rarr15*100+15*4#

#rarr1500+60#

#color(green)(rArr1560#

Hope this helps.. :)