Solve for Real Numbers

Let us study about solve for real numbers. In mathematics real numbers express themselves by containing both rational and irrational numbers in it.

The numbers which can express themselves in ratio as b/c where ‘c’ is not equal to ‘0’ are termed as rational numbers.

The numbers which cannot express themselves in the form of ratio are termed as irrational numbers. Some of the examples are discussed in detail as below.


Solve for real numbers:

Example 1:

John has Rs. 6000 in his account. Then he gave 1/3 of the amount to his friend. Solve this to find how much amount John has in his account currently?

Solution:

Given:

John has Rs. 6000

He gave 1/3 of the amount to his friend

Then the amount given to John friend is calculated as follows:

= Rs. 6000 x 1/3.

= Rs. 2000 x 1

= Rs. 2000 (the amount he gave to his friend)

Therefore to get the remaining amount subtract the amount gave to his friend from the original amount as follows:

= Rs. 6000 – Rs. 2000

= Rs. 4000 (remaining amount that the John have currently and it is also real numbers)


Example 2:

Rama reached 2/5 km in 2 hours and Seema reached 1/3 km in 2 hours. Solve this to find the difference in the distance among them?

Solution:

Given:

Rama reached 2/5 km in 2 hours

Seema reached 1/3 km in 2 hours

Then the differences in the distance among the two are calculated as follows:

= 2/5 – 1/3 (subtract the values)

= (2/5) (3/3) – (1/3) (5/5) (multiply and divide one of them with ‘3’ and the other with ‘5’ in order to get common divisor for both the ratio’s)

= 6/15 – 5/15

= (6-5)/15 (take the number ‘15’ as the common divisor from both the ratio’s)

= 1/15 (it is also real numbers)

Between, if you have problem on these topics The Real Number System, please browse expert math related websites for more help on solve my math problem for me.

Exercises:

1. Sudha is earning Rs. 81 per hour by preparing work lists. If she prepares for 2/5 hours then how much she will earn? (Answer: 30)

2. Rahul is having 1/3 meters of cloth, Srimathi is having 3/2 meters of cloth and Mano is having 2/3 meters of cloth. Find the total meters of cloth they have with them? (Answer: 5/2 meters)