When a number is a multiple of 6, what are the possible values for the ones digit?
6, 12, 18, 24, 30, 36, 42, 48, etc.
To determine the possible values for the ones digit when a number is a multiple of 6, we need to understand the divisibility rule of 6. A number is divisible by 6 if it is divisible by both 2 and 3.
The ones digit of a number is determined by its remainder when divided by 10. Therefore, to find the possible values for the ones digit of a multiple of 6, we can identify the remainders when the multiples of 6 are divided by 10.
Let's take a look at the first few multiples of 6:
- 6 ÷ 10 = 0 remainder 6
- 12 ÷ 10 = 1 remainder 2
- 18 ÷ 10 = 1 remainder 8
- 24 ÷ 10 = 2 remainder 4
- 30 ÷ 10 = 3 remainder 0
From this pattern, we can conclude that the ones digit for any multiple of 6 can be 0, 2, 4, 6, or 8.
So, the possible values for the ones digit when a number is a multiple of 6 are 0, 2, 4, 6, and 8.
0, 2, 4, 6, 8
6*1=6:6
6*2=12:2
6*3=18:8
6*4=24:4
6*5=30:0
6*6=36:6
6*7=42:2
6*8=48:8
6*9=54:4
6*10=60:0