Divisibility Rule of 10
Divisibility Rule of 10
Divisibility Rule of 10:
A number is divisible by 10, if its units digit is zero.
Justification:
Let ...cba be an arbitrary number whose ones digit is a, tens digit is b, hundreds digit is c and so on. Then,
is divisible by 10 if and only if a = 0.
is divisible by 10 if and only if its units digit is 0.
It follows from the above discussion that a number is divisible by 10 if and only if its units digit is zero.
Hence the Test of Divisibility By 10 that is a number is divisible by 10, if its units digit is zero is justified
Illustration 1: Write 231 in the form 10b + a then check its divisibility by 10
Solution: We will express 231 in the form 10b + a
where a = 1 and b = 23.
The number 231 will leave a remainder 1 when divided by 10 because the digit at the unit place represented by a in general form is 1.
The value of literal b is ______ when 735 in the form 10b + a. | |||
| Right Option : B | |||
| View Explanation | |||
Which of the following number is divisible by 10 ? 652360, 435764, 678576, 365460, 456737, 3457478 | |||
| Right Option : D | |||
| View Explanation | |||
The value of literal b is ______ when 2345 in the form 10b + a and the remainder when 2345 is divided by 10 is ____________. | |||
| Right Option : B | |||
| View Explanation | |||
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