Whole numbers and numeration. Math 123. Manipulatives. I am going to let you play with base blocks. Each group will get a different base to work with, but in any case, the names for the blocks in front of you are: Unit Long Flat Block
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I am going to let you play with base blocks. Each group will get a different base to work with, but in any case, the names for the blocks in front of you are:
Learn how to count in these bases. Become acquainted with the blocks. They are crucial for understanding place value systems, as well as operations with whole numbers.
Use blocks or draw.
Having worked in bases 2, 3, 4, 5, 6, 7, and 10, which all have place value, think about the following questions:
… 100,000 10,000 1000 100 10 1
The following shows an ancient number system that has place value. Enough information has been uncovered to be able to count in this system. If the following sequence begins at zero (i.e. “loh” = zero), can you determine the base of this system?
loh, bah, noh, tah, goh, pah, bah-gi-loh, bah-gi-bah, bah-gi-noh, bah-gi-tah, bah-gi-goh, bah-gi-pah, noh-gi-loh, noh-gi-bah, noh-gi-noh, noh-gi-tah, noh-gi-goh, noh-gi-pah, tah-gi-loh, ...
Another ancient system has been discovered. Individually, the symbol # represents what we call “2” and @ represents what we call “5”. Together, though, # @ represents what we would call 21. If it is believed this system has place value, determine its base.