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Explain The Decimal System in detail?
A decimal, such as 1.23, is made up of two parts: a whole number and a decimal fraction. In 1.23, the whole number is 1 and the decimal fraction is 0.23.
Some important types of decimals include terminating decimals and repeating decimals.
A terminating decimal is one whose decimal fraction stops. 0.5 is a terminating decimal.
A repeating decimal is one whose decimal fraction repeats. 0.57575757...is a repeating decimal (the ‘57' goes on forever).
You will see terminating and repeating decimals when you do long division. If your long-division problem has no remainder, you have a terminating decimal. If you have a repeating decimal, it will seem like the problem goes on forever, because you will keep getting the same remainder. We will see an example of this later in the chapter.
The Mean Value Theorem for Integrals If f(x) is a continuous function on [a,b] then here is a number c in [a,b] thus, a ∫ b f(x) dx = f(c)(b -a) Proof Let's begin
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