Take 32 lollipop sticks and put them into bundles of five. The following illustrates the conversion of 32 ten into a numeral in base five. We do this by using a subscript to indicate the base,Ĭonverting a number from base ten to another base is a little more complicated and, in the first instance, is best done using hands-on materials. Notice that we have to be clear about which base we are working in so as to know This means 2 × 25 + 4 × 5 + 3 × 1 which is 73 in base ten.
What happens if we use five instead of ten as the base for the columns? Working in base five the column headings would be powers of five. When we work in base ten, the columns represent powers of ten. To illustrate the second point, note that the notation was developed to express whole numbers, but it extends to the representation of fractions and decimals.Ī solid understanding of numbers and arithmetic is essential for the development of later concepts including fractions and algebra. they can be generalized beyond the original setting for which they were devised.they can be used by understanding a small number of ideas, and.Hindu-Arabic numerals exhibit some of the qualities that makes mathematics so powerful, namely The place-value nature of Hindu-Arabic notation enabled the development of highly efficient algorithms for arithmetic, and this contributed to its success and wide acceptance. It was developed over several centuries in India and the Arab world, so we call it Hindu-Arabic notation. We use a base-ten place-value notation to write numbers. Just as we need the alphabet to write down words and sentences so we need a notation to write down numbers. Numeracy and literacy are essential skills in modern society.
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