Even and Odd Numbers
Even and Odd Numbers
Even numbers: The numbers which are exactly divisible by 2 or leave the remainder as 0 when divided by 2 are called even numbers. So, we can say that a number with 0,2,4,6,8 at the ones place is an even number. Even numbers can be positive or negative.
Odd numbers: The numbers which are not exactly divisible by 2 or leave the remainder as 1 when divided by 2 are called odd numbers. So, we can say that a number with 1, 3, 5, 7, 9 at the ones place is an odd number. Like even numbers odd numbers can also be positive or negative.
Note: 1. Sum/Difference of even numbers is always even.
2. Sum of odd numbers is always odd.But the difference of odd numbers may or may not be odd. For example, 13 and 15 are odd numbers but their difference i.e. 2 is an even number.
3. Product of two even numbers is always an even number.
4. Product of two odd numbers is always an odd number.
5. Sum of one even and one odd number is always an odd number.
Illustration: Find the odd numbers from the following numbers.
1425, 252, 85986, 12359
Solution: As 252, 85986 has 2, 6 at their unit place respectively, hence both these numbers are even numbers. As 1425, 12359 have 5, 9 at their unit place respectively, hence both these numbers are odd numbers.
Illustration: Which of the following is an even number?
123,- 2356, 1279, 12365
Solution: As - 2356 is exactly divisible by 2, hence it is an even number.
Illustration: Which of the following is an odd number?
- 965, 8596, 52632, - 75444
Solution: As - 965 leaves 1 as remainder, hence it is an odd number.
Which of the following statement is false? (i) An even number is always divisible by 3. (ii) Even numbers leaves remainder 0 when divided by 2. (iii) Product of two even numbers is always even. | |||
| Right Option : C | |||
| View Explanation | |||
Choose the even number from the following numbers. 555, 444, 1221, 3663 | |||
| Right Option : C | |||
| View Explanation | |||
From the first five multiples of 5, which are even numbers? | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [10]
I have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
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Barkha Arora
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Cheshta
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Eshan Arora
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
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Shivam Rana
7thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
