Introduction to non negative real numbers:Let us study about non negative real numbers. Real numbers are commonly defined as the combined form rational and irrational numbers.
Smallest numbers in the ratio form as `a/b` , where ‘b’ should not be equal to ‘0’ at any situation are termed to be as rational numbers.
Numbers that cannot be represented in the ratio forms are termed to be as irrational numbers. Examples for non negative real numbers are below.
Non Negative Real Numbers:
Example 1:
Joseph is having 3 fruits, `1/3` chocolates and` 2/7` nuts, Jennifer is having `1/3` fruits, 3 chocolates and `3/5 ` nuts and Nimmi is having `2/5` fruits, `2/3` chocolates and 2 nuts. Find the total number of fruits, chocolates and nuts?
Solution:
Given:
Joseph having 3 fruits, `1/3` chocolates and `2/7` nuts
Jennifer is having `2/3` fruits, 3 chocolates and `3/5` nuts
Nimmi is having `1/3` fruits, `2/3` chocolates and 2 nuts
To calculate the total number of fruits, chocolates and nuts follow the steps as below:
Fruits:
= 3 + `2/3` + `1/3` (add all the fruit numbers from three of them)
= 3 `(3/3)` + `2/3` + `1/3 ` (multiply and divide ‘3’ with the number 3 in order to make it into fraction)
=` 9/3` + `2/3` + `1/3`
= `(9 + 2 + 1)/3` (take the number ‘3’ as common divisor)
= `12/3`
= 4 (total non negative real numbers of fruits)
Chocolates:
= `1/3 ` + 3 + `2/3`
= `1/3` + 3 `(3/3)` + `2/3` (multiply and divide ‘3’ with the number 3 in order to make it into fraction)
= `1/3 ` + `9/3` + `2/3`
= `(1 + 9 + 2)/3` (take the number ‘3’ as common divisor)
= `12/3`
= 4 (total non negative real numbers of chocolates)
Nuts:
= `2/7 ` + `3/5` + 2
= `(2/7)` `(5/5)` + `(3/5)` ` (7/7)` + 2` (35/35)` (multiply and divide the number ‘5’ with `2/7` , ‘7’ with `3/5` and ‘35’ with 2 in order to get the common divisor as ‘35’ for evaluation)
= `10/35 ` + `21/35` + `70/35`
= `(10 + 21 + 70)/35` (take the number ’35’ as common divisor)
= `101/35` (total non negative real numbers of nuts)
Having problem with One to One Correspondence keep reading my upcoming posts, i will try to help you.
Example 2:
If sita is completing 7 puzzle squares per hour then how hour she will take to complete 119 squares?
Solution:
7 puzzles 1 hour
Then to calculate the total hours required to complete 119 squares are as follows:
=`119/7`
= 17 hours (total non negative real numbers hours to complete 119 squares)
Exercises:
Rani is having 3 meters of fabrics, Srikanth is having `1/2 ` meters of fabrics and Mani is having `1/5` meters of fabrics. Find the total meters of fabrics they have with them? (Answer: `37/10 ` meters)
If Meena is having `2/5` liters of coke and Nakul is having `3/5` liters of coke. Find the total liters of coke they have with them? (Answer:1 liter)
Smallest numbers in the ratio form as `a/b` , where ‘b’ should not be equal to ‘0’ at any situation are termed to be as rational numbers.
Numbers that cannot be represented in the ratio forms are termed to be as irrational numbers. Examples for non negative real numbers are below.
Non Negative Real Numbers:
Example 1:
Joseph is having 3 fruits, `1/3` chocolates and` 2/7` nuts, Jennifer is having `1/3` fruits, 3 chocolates and `3/5 ` nuts and Nimmi is having `2/5` fruits, `2/3` chocolates and 2 nuts. Find the total number of fruits, chocolates and nuts?
Solution:
Given:
Joseph having 3 fruits, `1/3` chocolates and `2/7` nuts
Jennifer is having `2/3` fruits, 3 chocolates and `3/5` nuts
Nimmi is having `1/3` fruits, `2/3` chocolates and 2 nuts
To calculate the total number of fruits, chocolates and nuts follow the steps as below:
Fruits:
= 3 + `2/3` + `1/3` (add all the fruit numbers from three of them)
= 3 `(3/3)` + `2/3` + `1/3 ` (multiply and divide ‘3’ with the number 3 in order to make it into fraction)
=` 9/3` + `2/3` + `1/3`
= `(9 + 2 + 1)/3` (take the number ‘3’ as common divisor)
= `12/3`
= 4 (total non negative real numbers of fruits)
Chocolates:
= `1/3 ` + 3 + `2/3`
= `1/3` + 3 `(3/3)` + `2/3` (multiply and divide ‘3’ with the number 3 in order to make it into fraction)
= `1/3 ` + `9/3` + `2/3`
= `(1 + 9 + 2)/3` (take the number ‘3’ as common divisor)
= `12/3`
= 4 (total non negative real numbers of chocolates)
Nuts:
= `2/7 ` + `3/5` + 2
= `(2/7)` `(5/5)` + `(3/5)` ` (7/7)` + 2` (35/35)` (multiply and divide the number ‘5’ with `2/7` , ‘7’ with `3/5` and ‘35’ with 2 in order to get the common divisor as ‘35’ for evaluation)
= `10/35 ` + `21/35` + `70/35`
= `(10 + 21 + 70)/35` (take the number ’35’ as common divisor)
= `101/35` (total non negative real numbers of nuts)
Having problem with One to One Correspondence keep reading my upcoming posts, i will try to help you.
Example 2:
If sita is completing 7 puzzle squares per hour then how hour she will take to complete 119 squares?
Solution:
7 puzzles 1 hour
Then to calculate the total hours required to complete 119 squares are as follows:
=`119/7`
= 17 hours (total non negative real numbers hours to complete 119 squares)
Exercises:
Rani is having 3 meters of fabrics, Srikanth is having `1/2 ` meters of fabrics and Mani is having `1/5` meters of fabrics. Find the total meters of fabrics they have with them? (Answer: `37/10 ` meters)
If Meena is having `2/5` liters of coke and Nakul is having `3/5` liters of coke. Find the total liters of coke they have with them? (Answer:1 liter)
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