How To Solve Rational Numbers

Basic Terms and Terminology Relating to Solving One or Multi Step Problems with Rational Numbers

Rational numbers: Any number that tin can be expressed every bit a fraction or as a ratio. Rational numbers include whole numbers, zip, positive numbers, negative numbers, and decimal numbers.
Irrational Numbers: All numbers except rational numbers. An example of an irrational number is the foursquare root of a number.
Necessary data in a discussion mathematical trouble: That information in a word problem that is essential and necessary to understand, set up up and summate the discussion problem
Inapplicable information in a word mathematical problem: That information in a word problem that is unnecessary and only extra data that is not relevant in a word problem and which tin can confuse yous and NOT necessary to empathize, ready and calculate the give-and-take trouble
Erroneous information in a word mathematical problem: That data in a word problem that is fake, inaccurate, wrong and faulty information in a mathematical word trouble.

Necessary, Inapplicable and Erroneous Information in Word Issues

All word problems can have possible and potential extraneous and erroneous information in them. You should, therefore, discard and ignore all extraneous and erroneous data and focus on the necessary information in the word trouble that is needed to successfully understand, set up and summate the word problem. This requires careful reading of word problems found on your TEAS.

Simply defined, necessary information is that data in a word trouble that is essential and necessary to empathise, set up and calculate the word problem; extraneous information, only defined, is unnecessary and extra information that is not relevant in a word problem that tin can misfile you and that is NOT necessary to empathize, ready and calculate the word problem; and, lastly, erroneous and inaccurate information is incorrect and faulty information that can be included in a mathematical discussion problem.

It is wise to anticipate that your TEAS will include erroneous and extraneous data every bit you solve and calculate real globe give-and-take problems in the Mathematics section of your TEAS.

Hither are some word problems that include necessary information, erroneous data and inapplicable information.

Y'all are coordinating a holiday party for children in your church. Based on the ages of the children, yous should plan for a cup of milk for each of the 32 children who will be attending. The children will have this milk with their cookies, subsequently their main meal of spaghetti and meatballs. Because there are v cups per quart, how many quarts of milk should you purchase for this church holiday party?

At present, let's read this give-and-take problem very carefully and place all necessary information, all extraneous information and all erroneous information.

The aforementioned give-and-take problem is repeated below with all necessary information highlighted in cherry, all extraneous information highlighted in dark-green and all erroneous information is highlighted in turquoise.

Y'all are coordinating a holiday political party for children in your church building. Based on the ages of the children, you should plan for a cup of milk for each of the 32 children who will exist attending. The children will accept this milk with their cookies, after their primary meal of spaghetti and meatballs. Considering there are 5 cups per quart, how many quarts of milk should you purchase for this church vacation party?

When all the erroneous and inapplicable information in the above word problem are eliminated, yous are left with only the information that you volition need to successfully understand, ready upwardly and summate the give-and-take problem.

The merely necessary and relevant information in this trouble is:

How much milk will be consumed by each child
How many children volition be attending
How many quarts of milk should you buy

The adding of this word problem is then done, as shown below:

The corporeality of milk for each kid ten The number of children who volition attend
i cup of milk per kid x 32 children = 32 cups
32 cups/4 cups = ten quarts
32/four = 8 quarts will be needed for this party

Answer: You will have to buy 8 quarts of milk for the church holiday party when each of 32 children volition get one cup of milk.

Hither is another discussion problem with necessary, erroneous and extraneous data.

A nurse is taking care of your mother in the hospital considering she has a fever and pneumonia. She is getting an injection of an antibiotic every 8 hours. The nurse adds 1.five mLs of sterile h2o into a vial with powdered antibiotic and this mixture at present yields 0.5 grams of the medication in each mL of solution. How much solution should this nurse give your mother if the medico has ordered 1 gram of the medication?

The same give-and-take trouble is repeated beneath with all necessary information highlighted in cherry-red, all inapplicable information highlighted in green and all erroneous information is highlighted in turquoise.

A nurse is taking intendance of your female parent in the hospital considering she has a fever and pneumonia. She is getting an injection of an antibiotic every 8 hours. The nurse adds 1.5 mLs of sterile water into a vial with powdered antibiotic and this mixture now yields 0.5 grams of the medication in each mL of solution and there are one,000 mg in 0.5 grams. How much solution should this nurse give your mother if the medico has ordered i gram of the medication?

The merely necessary and relevant information in this trouble is:

The yield in terms of the number of grams per mL
The number of grams that your mother should exist getting

The calculation of this word trouble is then done, every bit shown below:

The yield in terms of the number of grams per mL x number of grams that your mother should exist getting
0.5 grams /1 mL = 1 gram/ten mL
0.v grams = 2 mLs

Respond: Your female parent should be getting 2 mLs of this antibiotic when the nurse adds 1.v mLs of sterile water into a vial with powdered antibiotic and this mixture yields 0.5 grams of the medication in each mL of solution and the doctor has ordered 1 gram of the medication.

RELATED TEAS NUMBERS & ALGEBRA CONTENT:

Converting Among Not Negative Fractions, Decimals, and Percentages
Arithmetic Operations with Rational Numbers
Comparing and Ordering Rational Numbers
Solve Equations with 1 Variable
Solve One or Multi-Step Issues with Rational Numbers (Currently hither)
Solve Problems Involving Percentages
Applying Estimation Strategies and Rounding Rules for Existent-World Problems
Solve Issues Involving Proportions
Solve Problems Involving Ratios and Rates of Change
Translating Phrases and Sentences into Expressions, Equations and Inequalities

Author
Recent Posts

Alene Burke, RN, MSN

Alene Burke RN, MSN is a nationally recognized nursing educator. She began her piece of work career every bit an elementary school teacher in New York Urban center and afterwards attended Queensborough Community College for her associate degree in nursing. She worked equally a registered nurse in the critical intendance area of a local community infirmary and, at this fourth dimension, she was committed to become a nursing educator. She got her available's of scientific discipline in nursing with Excelsior College, a part of the New York Land Academy and immediately upon graduation she began graduate school at Adelphi University on Long Island, New York. She graduated Summa Cum Laude from Adelphi with a double masters degree in both Nursing Didactics and Nursing Administration and immediately began the PhD in nursing coursework at the same academy. She has authored hundreds of courses for healthcare professionals including nurses, she serves as a nurse consultant for healthcare facilities and private corporations, she is also an approved provider of continuing teaching for nurses and other disciplines and has as well served as a member of the American Nurses Association'south chore force on competency and education for the nursing team members.

Latest posts by Alene Burke, RN, MSN (run across all)