Divisibility Rule of 2
Divisibility Rule of 2
Divisibility Rule of 2:
A number is divisible by 2, if its units digits is an even digit i.e. 0.2,4,6, or 8
Justification:
Let n be any natural number. Then according to the general form it can be represented as,
n = 10a + b, where b is units digit of n.
Now 10a is an even number because 10 has a factor 2 and any multiple of 10 will have a factor 2
And the sum of two even numbers is an even number, whereas the sum of an even number and an odd number is an odd number.
Therefore, n = 10a + b is even if b is an even digit.
Hence Test of Divisibility By 2 i.e. a number is divisible by 2, if its units digits is an even digit i.e. 0.2,4,6, or 8 is justified.
Illustration: Let n be a natural number. If the division n+2 leaves a remainder of 1, what might be the units digit of n?
Solution: Since the division leaves a remainder of 1. So, n must be an odd natural number. Hence, its units digit can be 1,3,5,7 or 9.
Which of the following number is divisible by 2? 345, 654 ,987,451 | |||
| Right Option : A | |||
| View Explanation | |||
If P/2 leaves a remainder of 1 what might be the ones digit of P ? | |||
| Right Option : B | |||
| View Explanation | |||
If Q/2 leaves a remainder of 1 what might be the ones digit of Q ? | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [20]
It was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
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Yogansh Nyasi
7thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
