mankey wrote:It is given tenths and hundredths, how does one come to know to know that they are being referred to the numbers after decimals, they could also be before decimal?
Please clarify.
Thanks.
Yeah, the "ths" at the end mean they are to the right of the decimal point. It boils down to place value in a base-ten counting system. For example, the number 145.657 can be expanded as follows:
1*10^2 + 4*10^1 + 5*10^0 + 6*10^-1 + 5*10^-2 + 7*10^-3
on the right side, 10^-1=1/10, 10^-2=1/100, 10^-3=1/1000.
These fractions are read as "one tenth" "one hundredth" and "one thousandth", giving rise to "tenth's digit", "hundredth's digit", and "thousandth's digit"
Whereas the ones to the left are 10^2=100, 10^1=10, and 10^0=1,
and these are read as "one hundred" "ten" and "one", giving rise to "hundred's digit", "ten's digit" and "one's digit" (or sometimes "unit's digit").
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