hey there it's kaylee we're going to learn about the distributive property over subtraction
make sure you've already completed the lesson called distributive property over
addition before getting started on this one let's get right to it
so let's get started with an example this one says evaluate five times twenty minus five
why don't you go ahead and try this on your own first pause the video here and give it a go
nice so now i'm gonna work this problem out two ways first i'm going to use order of operations
so if i use my order of operations i will have 5 times 20 minus 5 and i do
what's in the parentheses first right so this subtraction so i'll have 5 times 20 minus 5 is
15 and when i multiply this out what do i get yeah 75 is my answer but we know another way of solving
this type of problem we can use the distributive property so i'm going to rewrite my expression
over here i have 5 times 20 minus 5. and when i use the distributive property what do i do
yeah i take what's outside the parentheses and i distribute it to everything inside the parentheses
so i will have 5 times 20 minus 5 times five now if i do my multiplication five
times twenty that gives me a hundred minus five times five that gives me
twenty five and now if i do my subtraction i will get 75 perfect our answers here are matching
so when we use both methods order of operations like we did over here and the distributive
property like we did right here this will confirm that our distributive property works
and gives us the correct answer so here's one more example it says evaluate 2 times 8 minus 3 minus 2
using the distributive property so right away i know that i am not using order of operations
i can go straight to distributing what is outside my parentheses to what is inside my parentheses
but let's rewrite this first to cozy up our 2 and our parentheses so it's really clear
remember this bullet here just means multiplication so i can just write
this 2 right next to the parentheses and it'll look like 2 times 8 minus 3 minus 2. so here
i go with my distributive property remember i take my 2 and i'm going to multiply it by what
yeah everything inside the parentheses so even this third term in here so i'll have 2 times 8
minus two times three minus two times two and i can go through my multiplication two times eight
that'll give me sixteen minus two times three is six minus two times two which is 4.
now i can do my subtraction 16 minus 6 that'll leave me with 10 minus 4
and 10 minus 4 is 6. so that's the answer to our expression using the distributive property
good job you're ready to practice using the distributive property over subtraction
on your own after you do some practice we'll learn why the distributive property is super important
our next video is about using the distributive property with variables i'll see you there