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## Award-winning PDF software     ### Instructions and Help about Form 2220 Calculator

Welcome to a second lesson on converting base 10 numbers to different bases in this method we'll be using a calculator to convert to different bases let's begin by considering the number 1 4 3 2 in different bases in base 10 the base we're used to working with we know the one represents 1 1000 we know the four represents four hundreds we know the three represents three tens and the 2 represents two ones giving us our number in base 10 of 1000 432 another way to represent the place values in base 10 would be to take our base 10 and start with 10 to the zero which would give us the ones and then move to the left by adding 1 to the exponent each time 10 to the first would be the tens place value 10 to the second would be the hundreds 10 to the third would be the thousands and so on so if we look at this same number to a different base the place value is change for base five notice how we'd start with five to the zero with the ones but then we'd have five to the first of the five followed by five to the second or the 25 place value then five to the thirds or 125 is place value and so on if we change the base six notice how again the place value is change so if we wanted to write these numbers in base five and six in base 10 the one now represents one 125 the full represents for 25 the 3 represents three fives that she represents two ones giving us 242 in base 10 4 1 4 3 2 base 6 notice how this would be equal to 380 in base...