# Form and Value

# Form and Value

Two mathematical expressions may take different form and yet have the same value. For example, and 2 look different but are the same number. Likewise, the number 1 can be expressed as 3^{0} or .

In the decimal system, for example, the fraction ½ is also express as 0.5. The word "fraction" refers to the form of a number. The form of is a fraction, but its value is 4, which is an integer. Similarly, 2 ½ has the form of a mixed fraction, but it can be expressed as the fraction , or the decimal number 2.5.

Algebraic expressions also have form and value. The value of 3(*x* + 2) and 3*x* + 6 is the same, but 3(*x* + 2) is in the **monomial** form, and 3*x* + 6 is in the **binomial** form. Numbers can be also written using both monomial and binomial form.

In monomial form, even numbers are expressed as 2*x* for *x* = 1, 2, 3,… generating all even numbers 2, 4, 6,…. In binomial form, even numbersare expressed as 2*x* + 2 for *x* = 0, 1, 2,…, which again generates all the even numbers 2, 4, 6,….

*Rafiq Ladhani*

## Bibliography

Amdahl, Kenn, and Jim Loats. *Algebra Unplugged.* Broomfield, CO: Clearwater Publishing Co., 1995.

Miller, Charles D., Vern E. Heeren, and E. John Hornsby, Jr. *Mathematical Ideas,* 9th ed. Boston: Addison-Wesley, 2001.

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