Patterns of Numbers Flashcards
Look for pattern
eg patterns in remainders
Powers of 0
0 (as base) to power of anything is 0
Powers of 1
1 (as base) to power of anything is 1
Powers of 2
2 (as base) to power of anything follows pattern (for units digit) of 2 - 4 - 6- 8
Powers of 3
3 (as base) to power of anything follows pattern (for units digit) of 3 - 9 - 7- 1
Powers of 4
4 (as base) to power of anything follows pattern (for units digit) of 4- 6. All odd is 4 and all even is 6
Powers of 5
5 (as base) to power of anything has units digit of 5
Powers of 6
6 (as base) to power of anything has units digit of 6
Powers of 7
7 (as base) to power of anything follows pattern (for units digit) of 7 - 9 - 3- 1
Powers of 8
8 (as base) to power of anything follows pattern (for units digit) of 8-4-2- 6.
Powers of 9
9 (as base) to power of anything follows pattern (for units digit) of 9- 1. All odd is 9 and all even is 1
For bases above 9, when working out value when raised to various powers…
…. just look at units digit
when a number is divided by 10,
the remainder is the units digit of the number
when a number is divided by 100
the remainder is the last two digit of the number
when integers with same units digit divided by 5…..
same remainder (is constant)
