Teacher2Teacher Q&A #5640

Teachers' Lounge Discussion: Math 7-12

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From: Loyd

To: Teacher2Teacher Public Discussion
Date: 2008122317:31:20
Subject: Re: Re: binary numbers

On 2002020507:39:50, Loyd wrote: >On 2002020500:49:16, meghan wrote: >> hello everyone! i am student teaching and i need to make a lesson >>plan on binary numbers there is not much help on the internet. i need >>a internet project that the class can do as well as some other >>activities to do with binary number. i can make the lesson plan for >>any age gropup so any activities will be helpful. if anyone has ideas >>please let me know. thanks >> >I edited the last by taking out the 251 which I had left in by >mistake. > >Suggestion: Make base ten chart showing ones, tens, hundreds, >thousands etc something like this using both names and exponents >Lets convert 28 to binary for example: >10,000's 1000's 100's tens ones >10^4 | 10^3 | 10^2 | 10^1 | 10^0 | >| | | | 2 | 8 | >| | | | | | >| | | | | | >| | | | | | >| | | | | | > > > 16's 8's 4's 2's ones >| 2^4 | 2^3 | 2^2 | 2^1 | 2^0 | >| 1 | 1 | 1 | 0 | 0 (16+8+4=28)=28 >| | | | | | >| | | | | | >| | | | | | >| | | | | | > >If you need more help, then let me know and I can expand on this. I >might suggest a calculator such as the HP 6s has binary, octal and >hexidecimal conversion keys on them. I would suggest using an aid >like that to help. The HP 6s is also a very nice inexpensive >scientific calculator suitable for all science classes. > 16's 8's 64's 8's ones | 8^4 | 8^3 | 8^2 | 8^1 | 8^0 | | | | | 3 | 4 | (24+4=28) | | | | | |(3 eights + 4 ones=28) | | | | | | | | | | | | | | | | | | In any base the base raised to the zero th power is 1 In any base, the base raised to the first power is 10 In any base the base raised to the 2 power is 100 In any base the base raised to the 3 power is 1000 etc. But of course 1000 in base 8 means no ones, no 8s, no 64s and one 512. So, 512 base 10 = 1000, base 8.

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