We are picking 6 numbers from the numbers 1,2,3,4,5,6,7,8,9,10. Since we care about numbers being next to each other, we might think of the 10 numbers as being distributed in 5 boxes (which you can think of as the holes):

| 1 2 | 3 4 | 5 6 | 7 8 | 9 10 |

So on the first box we have the numbers 1 and 2, on the second box we have the numbers 3 and 4, and so on. Since we are picking 6 numbers from those 10 numbers, that means we'll have to pick 6 boxes (and inside each box we pick a number), but we only have 5 available boxes, so by the pigeonhole principle, we'll have to pick 1 same box at least two times. Since on each picked box we'll need to pick a number, on this box which was picked two times, we will have to pick both of its numbers. And so those 2 numbers inside that box will be next to each other (meaning they're consecutive numbers).

4 0

3 years ago

How to write 9 and 9 thousandths in standard form

Paha777 [63]

Answer:

9.009

Step-by-step explanation:

As a mixed number, it is 9 9/1000.

The "thousandths" place in a decimal number is the third digit to the right of the decimal point, so a 9 in that place signifies 9 thousandths, or 9/1000. Adding 9 units gives ...

9 9/1000 = 9 + 0.009 = 9.009

4 0

3 years ago