Page 157 - New Medley 5 Semester 1

7. 9 (a) 69 (b) 232 (c) 3456 (d) 98765 (e) 100089

8. 10 (a) 90 (b) 415 (c) 6280 (d) 40005 (e) 83100

B. Identify the numbers divisible by 11 in the following.
1. 48946 2. 9457 3. 51612

4. 77888 5. 321011

C. Are the following statements correct? Justify your answer.
1. A number divisible by 3 is also divisible by 9.

2. A number divisible by 8 is divisible by 2 and 4 also.

3. A number divisible by 3 and 4 both need not be divisible by 12.

4. A number divisible by 5 is also divisible by 10.

5. A number divisible by 3 and 5 both is necessarily divisible by 15.

6. A number divisible by 2 and 5 both is divisible by 10.

7. Which smallest digit will you put in place of * in the number 19413*
to make it divisible by (a) 2 (b) 3 (c) 4 (d) 5 (e) 8 (f) 9 and (g) 11?

Types of Numbers

In the previous sections, we learnt about the factors and multiples of a
natural number. Also, we learnt how we can check whether a number is

divisible or not by some other numbers without doing actual division. On
the basis of these properties, we categorise the natural numbers as follows:

Z Z Even numbers and odd numbers

The numbers divisible by 2 are called even numbers, e.g., 2, 4, 6, 8, 10,
etc.

The numbers not divisible by 2 are called odd numbers, e.g., 1, 3, 5, 7,

9, etc.

When we do the operations of above two numbers, we get the result
one of the above numbers. Can you justify the following?

1. Even + odd = odd, even + even = even, odd + odd = even and odd +
even = odd

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