Basic Math Sample Essay
This purpose of this paper addresses working with fractions. Throughout the study it tries to solve a set of problems hence creating an understanding of the mathematic operation and how it is important in both our professional and personal life. In making mathematical reviews on the basic rules for division, addition, and multiplication fractions, one needs to understand the basic order of operation. For instance, in a mathematical rule both division and multiplication must be completed before addition and subtraction. This is just but the basic rule, in doing so let us examine the following set of problems.
Multiplication fractions: When multiplying fractions, you simply multiply numerators then multiply the denominator together. This performs better whether the denominators are similar or not. Basic steps to follow is the rule below:
Therefore, you multiply [25/12 x 4/3] together you get [100/36].
With any solution, the answer should be in a simplified form. The fraction [100/36] is simplified to [25/9]
Division fractions: solving for divisions is also as easy as multiplying two fractions. The basic rule for dividing two fractions is that, you take the reciprocal of the other second fraction and multiply. For instance, 10/9 ÷ 1/3 will follow the basic rule:
Solution for [10/9 ÷ 1/3] is calculated by multiplying [10/9 x 3/1]. In this case, [10/3] is the simplified form.
Adding and subtracting factors: In solving fractions for addition and subtraction, they must both have the same denominator. In case they are different, there is need to convert each of the fraction to form an equivalent fraction. This is done by finding the least common denominator (LCD) for the fractions. Rules are broken down into the following five steps:
Determining fractions with the same denominator
If different in denominator, find the least common denominator (LCD) for the added fraction
Complete the equivalent fraction with LCD in the denominator
Add or subtract numerator fraction
Then simplify the resultant fraction
Rule for addition fraction
Solution for: [1/8+ 1/6]= [7/24]
The fraction have different denominator, so the least common denominator for both fraction is 24. [24 / 8] + [24 / 6] to get [3+4]/ 24= 7/24
Solving for: [2/3 - 1/9]=[5/9]
The least common denominator for this case is 9. 9 divides 3, into 3 then it multiplies 2 to get 6. On the other hand, 9 again divide 9 to 1. When multiplied by 1 it remains 1. [(6-1)/9.]
Solving the basic math did not present any challenge as long as the basic math rules is put into consideration. Mathematical problems involves following rule application one step at a time. It should not present any challenge whatsoever. In reality, mathematics involves wide range of skills and concepts. Though some of these skills may relate and build on one another. Some students are able to master while other struggles doing the same. Mathematics needs much attention, active memory through learning, and much practice. It has to follow through with the right attitude towards the subject, most especially in learning the very basic steps of mathematics such as in solving for addition, subtraction, multiplication and division.
For those struggling with Math problem, they need to put a lot of practice. It requires understanding all rules and procedures, without this as the basic concepts then it become difficult understanding. Algebra involves small steps, and practice. Today career demands a lot of reasoning, decision making, and problem solving and applying solid strategies. This is by learning the basics of math. It provides a good mental work out. The ability to recall things follows an understanding to what is at task. Students who memorize math details miss a lot in expounding their comprehension on equations. Math focuses on solving problems; hence it being a central focus it paves way to problem solving even in future life. This builds up on accuracy, consistent and builds up confidence not only to math problems but also in future. Today, students need to recall math facts without counting for strategies. A thorough hand on discussions and activities will help create a deeper understanding on the facts and even cultivate a better strategy. This provides a better balance and a foundation for mastery. The conceptual understanding for operation is key in solving math facts.
References
O’Connell, S., & SanGiovanni, J. (2011). Mastering the Basic Math Facts in Addition and Subtraction. Retrieved February 17, 2014, from Strategies, Activities & Interventions to Move Students Beyond Memorization
Peter J. Bickel, K. A. (2006). Mathematical Statistics: Basic Ideas And Selected Topics, Volume 1. Upper Saddle River, New Jersey: Pearson Prentice Hall .
Picciotto, H. (1994). Algebra: Themes, Tools, Concepts. New York: Henri Picciotto.