Home | About Mathguru | Advertisements | Teacher Zone | FAQs | Contact Us | Login

 
If you like what you see in Mathguru
Subscribe Today
For 12 Months
US Dollars 12 / Indian Rupees 600
Available in 20 more currencies if you pay with PayPal.
Buy Now
No questions asked full moneyback guarantee within 7 days of purchase, in case of Visa and Mastercard payment
  

Example: Compare Population Density

Post to:

Bookmark and Share



Explanation:

 

 

Unitary method

 

The unitary method is a technique in elementary algebra for solving a class of problems in variation. It consists of altering one of the variables to a single unit, i.e. 1, and then performing the operation necessary to alter it to the desired value. (Our solved example in mathguru.com uses this concept)

For example, to solve the problem 'A man walks seven miles in two hours. What is his average speed?' we aim to calculate how far the man walks in one hour. We can safely assume that he would walk half the distance in half the time. In one hour (one half of two hours) he walks three and a half miles (one half of seven miles). His speed is therefore three and a half miles per hour.

We can apply the same method to the problem 'A man walks at four miles per hour. How long would it take him to cover five miles?' by asking first, how long does the man take to walk one mile. One is a quarter of four, so it takes him a quarter of an hour to walk one mile. To walk five miles it therefore takes him five quarter hours, or an hour and a quarter.

 

http://en.wikipedia.org/wiki/Unitary_method

 

Inequality (mathematics)

 

In mathematics, an inequality is a statement how the relative size or order of two objects or about whether they are the same or not

1.  The notation a < b means that a is less than b.

2.  The notation a > b means that a is greater than b.(Our solved example in mathguru.com uses this concept)

3.  The notation a ≠ b means that a is not equal to b, but does not say that one is greater than the other or even that they can be compared in size.

 

http://en.wikipedia.org/wiki/Comparison_(mathematics)

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.