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# Decomposing hundredths on number line

CCSS.Math:

## Video transcript

so we have an example exercise from our Khan Academy exercises this is the decomposed fractions with denominators of 100 so use a following number line to complete the equation the equation says 26 hundredths is equal to star tenths plus 6 hundredths and they give us this number line and on this number line let's see this is 0 right over here 0 tenths which is the same thing as 0 and it goes all the way to 26 hundredths let's see if that makes sense well you see between zero tenths and 1/10 they split into 10 equal sections 1 2 3 4 5 6 7 8 9 10 so if you divide a 10th into tenths each of these is going to be a hundred a hundredth is one tenth of a tenth so it's one hundred two hundred three hundred four hundred five six seven eight nine ten hundredths 11 12 13 14 15 16 17 18 19 20 hundredths 21 22 23 24 25 26 hundredths so that's exactly what they wrote there so they say 26 hundreds which is this thing right over here is equal to star tenths which is really what's being depicted in magenta plus six hundredths the six hundredths is this green right over you're adding the 600's adding one two three four five six hundredths so what is what is this right over here this this this magenta or this pink arrow well we could say that's 20 hundredths if you count it that's 10 20 hundredths or you can see well that's just two tenths so 26 hundredths is the same thing as two tenths plus six hundredths and it gets you right over there so this right over here is going to be two tenths