The Divisibility rule for 10 is one of the simplest rules in mathematics. It helps determine whether a number is divisible by 10 without performing the actual division.
Divisibility Rule for 10
A number is divisible by 10 if its last digit is 0. This rule works because 10 is a base of our number system, and any number that ends in zero is a multiple of 10.
How This Rule Works
Step 1: Look at the last digit of the number.
Step 2: If the last digit is 0, the number is divisible by 10.
Step 3: If the last digit is not 0, the number is not divisible by 10.
Examples - Divisibility Rule for 10
Question 1. Is the number 500 divisible by 10?
Answer: Yes, 500 is divisible by 10.
Explanation:
Step 1: Look at the last digit of 500.
The last digit is 0.
Step 2: Since the last digit is 0, the number is divisible by 10.
Question 2. Is the number 6789 divisible by 10?
Answer: No, 6789 is not divisible by 10.
Explanation:
Step 1: Look at the last digit of 6789.
The last digit is 9.
Step 2: Since the last digit is not 0, the number is not divisible by 10.
Question 3: Is the number 1230 divisible by 10?
Answer: Yes, 1230 is divisible by 10.
Explanation:
Step 1: Look at the last digit of 1230.
The last digit is 0.
Step 2: Since the last digit is 0, the number is divisible by 10.
Question 4: Is the number 23457 divisible by 10?
Answer: No, 23457 is not divisible by 10.
Explanation:
Step 1: Look at the last digit of 23457.
The last digit is 7.
Step 2: Since the last digit is not 0, the number is **not** divisible by 10.
Question 5: Is the number 100000 divisible by 10?
Answer: Yes, 100000 is divisible by 10.
Explanation:
Step 1: Look at the last digit of 100000.
The last digit is 0.
Step 2: Since the last digit is 0, the number is divisible by 10.
Summary of the Rule:
To check if a number is divisible by 10, focus on the last digit.
If the last digit is 0, the number is divisible by 10.
If the last digit is any other number, the number is not divisible by 10.
Why Does This Rule Work?
This rule works because 10 is composed of the digits 1 and 0. When a number ends in zero, it’s clear that it can be divided evenly by 10. Dividing by 10 removes the last zero, and you are left with the number of tens in the original number.
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