Determine which of the following numbers are divisible by 5 and by 10.
25, 125, 250, 1250, 10205, 70985,45880
Check whether the numbers that are divisible by 10 are also divisible by2 and 5.
Answers
Answer:
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Given:
- 25
- 125
- 250
- 1250
- 10205
- 70985
- 45880
What to do?
Find whether the given numbers are divisible by 5, 10 and 2.
How to do?
Divisibility test of 5
To find if the number is divisible by 5, check the last digit of the number. If it is either 5 or 0, then it is divisible by 5.
Divisibility test of 10
To find if the number is divisble by 10, check the last digit of the number. If it is 0, then it is divisible by 10.
Divisibility test of 2.
To find if the number is divisible, check the last digit of the number. If it ends in 0, 2, 4, 6 or 8, then it is divisible by 2.
Solution:
1. 25
a. Divisible by 5.
⇒ Check the last digit i.e., 5.
∴ Yes, it is divisble by 5.
b. Divisible by 10.
⇒ Check the last digit i.e., 5.
∴ No, it is not divisible by 10.
2. 125
a. Divisible by 5.
⇒ Check the last digit i.e., 5.
∴ Yes, it is divisble by 5.
b. Divisible by 10.
⇒ Check the last digit i.e., 5.
∴ No, it is not divisible by 10.
3. 250
a. Divisible by 5.
⇒ Check the last digit i.e., 0.
∴ Yes, it is divisble by 5.
b. Divisible by 10.
⇒ Check the last digit i.e., 0.
∴ Yes, it is divisible by 10.
c. Divisible by 2.
⇒ Check the last digit i.e., 0.
∴ Yes, it is divisible by 2.
4. 1250
a. Divisible by 5.
⇒ Check the last digit i.e., 0.
∴ Yes, it is divisble by 5.
b. Divisible by 10.
⇒ Check the last digit i.e., 0.
∴ Yes, it is divisible by 10.
c. Divisible by 2.
⇒ Check the last digit i.e., 0.
∴ Yes, it is divisible by 2.
5. 10205
a. Divisible by 5.
⇒ Check the last digit i.e., 5.
∴ Yes, it is divisble by 5.
b. Divisible by 10.
⇒ Check the last digit i.e., 5.
∴ No, it is not divisible by 10.
6. 70985
a. Divisible by 5.
⇒ Check the last digit i.e., 5.
∴ Yes, it is divisble by 5.
b. Divisible by 10.
⇒ Check the last digit i.e., 5.
∴ No, it is not divisible by 10.
7. 45880
a. Divisible by 5.
⇒ Check the last digit i.e., 0.
∴ Yes, it is divisble by 5.
b. Divisible by 10.
⇒ Check the last digit i.e., 0.
∴ Yes, it is divisible by 10.
c. Divisible by 2.
⇒ Check the last digit i.e., 0.
∴ Yes, it is divisible by 2.