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Current time:0:00Total duration:2:40

Place value: comparing same digit in different places

Video transcript

I've written out two numbers here and they both contain four they each have four as a digit and I want to think about what the values of these fours are and to actually compare them so I encourage you to pause the video and try that on and try that out on your own so let's look at the two fours here so in 110 thousand four hundred and thirteen I have a 4 right over here and what does that actually represent well this is the ones place you have three ones you have one tens and the four is in the hundreds place you have for hundreds so this for literally represents four times 100 or 400 now what about this four well once again you have one zero ones you have five tens you have three hundreds and you have four you have four thousands for thousands so this Lurie represents four times 1,000 four times 1,000 which is four thousand so we can now compare the two the four in 110 thousand four hundred thirteen is one-tenth the value of the four in fifty four thousand three hundred and fifty and it makes complete sense this four is one place to the right of this for this four is in the thousands the magenta circled 4 is in the hundreds so every time we move a place value to the right we're going it represents what the each each increment recommends one tenth as much assuming we have the same digit so a four and thousands is four thousand a four and a hundreds would be one-tenth as much a four and the tens would be one-tenth as much as that so we could write a sentence the ready this way the value value of the of the four of the four in this number is is 1/10 1/10 the value the value of the four of the four in this number and it's a little bit weird sentence the value of the four and one hundred ten thousand four hundred and thirteen is one-tenth the value of the four and fifty four thousand three hundred and fifty