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Video transcript

whereas to fill in the blanks to complete the equation so they have eighty six point nine three is equal to five tens plus blank ones plus three plus nine tenths plus three hundredths so let me expand out eighty six point nine three and just think about how I could regroup the value in the different places so that I get something more close or exactly what we have on the right hand side so the eight and eighty six point nine three that's in the tens place so it literally represents eight tens so I can write that down as eighty so let me do that this eighty the six in eighty six represents six one so I can write that down as six then the nine in eighty six point nine three that's nine tenths so I could write that down I could write this nine that's right - that's right of the decimal place this is plus nine tenths and then the three in eighty six point nine three that is in the hundredths place it represents three hundredths so this is plus three over a hundred so I've expanded out what I thumbr that I have on the left now let me write out what they have on the right again so this is going to be equal to they have five tens here so I'll write all the tens places in this red color then they have blank ones so I'm going to do that I'm just going to literally write out a blank plus blank plus nine tenths so the nine tenths is still nine tenths plus three hundredths plus three hundred so let me make sure that we color code this so that's the nine tenths this is the five tens that's the fifty we have the blank ones that's this right over here nine tenths and then finally we have the three hundredths three hundred so plus three over a hundred so how do we get the right-hand side to be the exact same thing as the left-hand side and by adjusting this blank well both sides have a three hundred saan it both sides have a nine tenths on it and so what's really different about the two sides is on the left hand side this color that we can actually see on the left hand side you have an 80 plus a 6 on the right hand side you have a 50 plus a blank so 80 plus 6 is clearly 86 so what does 50 have to be or it has to be added to 50 to get to 86 well you have to add 36 you have to add 36 so now both sides add up to the same thing 80 plus 6 is 86 50 plus 36 is 86 then you have 9/10 9/10 3/100 3/100 now you might be saying hey wait you know you've ordered 36 here does this literally mean 36 ones and I will say yes it literally represents 36 ones you could literally view this this is the same thing as 36 times 1 so we can rewrite this as or we can fill in the blank here eighty six point nine three is equal to five tens plus 36 ones plus nine tenths plus three hundredths and I encourage you to add this up you will get eighty six point nine three now what have we essentially done here well what we essentially did if you compare the 8 and the 5 right over here you see that we took three from the tens place we took three from the tens place but taking three from the tens place is essentially taking 30 is taking 30 from that from that value that it represents so we took 30 from the tens place and we gave that 30 to the ones place we gave that 30 to the ones place so you had 86 you take 30 away you have 50 in the tens place represented by this 5 and then you give that 30 to the ones place you have 36 you have 36 ones