How do you use the distributive property to simplify #14(1002)#?

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Answer 1 · 2018-04-12T08:51:35

See explanation.

The distributive property says that for any real numbers #a#, #b# and #c# we have:

#a*(b+-c)=ab+-ac#

Here we can use the property to change a more difficult multiplication to two simpler ones:

#14*(1002)=14*(1000+2)=#

#=14*1000+14*2=14000+28=14028#