what is the definition of "units digit"?

Question

it came up on the practice test for the PSAT.

here's the question.
How many 3-digit positive integers can be formed using the digits 2 3 4 5 6 7 and 8 if the units digit is 2 and no integer is repeated within an integer?

Answer 1

In any number, the order of the digit indicate its value.

For example, in the number 123, the one represents 100 because it is in the hundreds column. Any number in this column gets multiplied by one hundred.

The 3 only represents 3. It is in the units column. Any number there only get multiplied by 1 (the 'unit' in our system of counting).

For your number, the 'units' digit is fixed. It is a 2. There is only 1 way to write it.

For the tens, you can pick any one of the remaining 6. There are 6 ways of doing that.

For the hundreds, you can pick any of the remaining 5 numbers (because you have used the 2 for the units and another digit for the tens). There are 5 ways to pick the hundreds, once you have fixed the tens.

Total number of ways? 1*6*5

Answer 2

This Site Might Help You.

RE:
what is the definition of "units digit"?
it came up on the practice test for the PSAT.

here's the question.
How many 3-digit positive integers can be formed using the digits 2 3 4 5 6 7 and 8 if the units digit is 2 and no integer is repeated within an integer?

Answer 3

Digit Definition

Answer 4

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