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FINITE MATHEMATICS - Number Theory - Research Paper Example

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The word “Truncate” in arithmetic defines cutting off at specified digits. Let us assume we have a number with decimal notation, it is: 5.3476. After the decimal point, we have four digits. They are 3476. In…
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FINITE MATHEMATICS - Number Theory
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In the next step we will truncate numbers to different digits. Our number is 5.3476. Let us examine what is rounding off a decimal place. Our number is 5.3476. We use the same concept as above; the digits after decimal points are called “tenths”, “hundredths”, “thousandths”, and “ten-thousandths”. There are two rules in rounding up of decimal places. Scenario 2: In this scenario we will add and then round up to the whole number. Let us think, I am in a supermarket. I want to buy three products and make sure I have enough money to pay before I go to the cash register.

I already know that when I round up decimal number to the whole number, I increase the result if the number after decimal point is 5 or more. I will use this technique. Step 3: I will add numbers of columns from left to the right. I already know that; 247 is 200 + 40 + 7. So, 135 is 100 + 30 + 5 and 682 is 600 + 80 + 2. I have to use this concept when I add from left to right. Scenario 3: In this scenario, I am in a flea market. I found something that costs $ 8.60 each. I want to buy 7 of them.

I have $ 60 in my packet. My goal is to find total price. I will truncate the decimal to the whole number and negotiate the price with the seller. This is a scenario of truncation after multiplication. Thus, if “p” is a known prime number, there is always a new prime number “n” which is a larger than the known prime number “p”. Thus for any prime number there is a larger prime number, so there are infinity number of primes. The figure above represents a 12-hour clock. Clockwise movement increases number from 1 to 12.

The number 12 can also be expressed as number 0. Using this clock we can do addition, subtraction, multiplication of integers. An integer is a whole number. There is no decimal. An integer can be a positive number or a negative number. Thus, we can use a 12-hour clock for arithmetic calculation with

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