How could you mentally find 8 times 45 by using the distributive property
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If he uses 85 tiles, 28 tiles will be black
<h3>Sequence and Pattern</h3>The formation of the tiles of the floor follows an arithmetic sequence or pattern
The pattern is given as:
- Blue
- White
- Black
Given that the total number of tile used is 85, and the black tile is always in the third position.
The highest number less than or equal to 85 that is divisible by 3 is 84.
Next, we divide 84 by 4
Hence, 28 of the tiles will be black
Read more about sequence and patterns at:
You can dispose a number of elements in a matrix-like formation with
shape if and only if
and
both divide
, and also
.
So, we need to find the greatest common divisor between and
, so that we can use that divisor as the number of columns, and then.
To do so, we need to find the prime factorization of the two numbers:
So, the two numbers share only one prime in their factorization, namely , but we can't take "too many" of them:
has "three two's" inside, while
has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include
nor
, because it's not a shared prime.
So, the greater number of columns is , which yield the following formations: