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the decimal number system is what weamp;#39;ve grown up with what weamp;#39;ve been using our entire life where everything is based on a power of 10 when we count thatamp;#39;s what we do we largely started counting probably when we were very little using our fingers or toes and since we have 10 of those it was very convenient for us to think in terms of powers of 10 the decimal number system uses base 10 and as we progress through this lecture we will talk about other bases that can be used to represent numbers so in the base 10 number system every digit is given a certain value and you have if you remember your place value from elementary school your ones place your tens place your hundreds place etc off to the other side of the decimal point youamp;#39;ve got your tenths hundredths thousandths etc and so those are negative powers of 10 to the right of the decimal and to the left of the decimal you have your positive powers of 10 and youamp;#39;re available digits in the decimal