Question

1. Look at the 5 times table.
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75... Find the pattern in the
digits in the units places of this table. Is there a pattern in the tens digits in this
table?
mas table​

Answer 1

The pattern in the units place is 5,0,5,0,5,0,5,0,....

The pattern in the tens place is 0,1,1,2,2,3,3,4,4,5,5,....

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Answer 2

The units digit repeats in a cycle of 5: 5, 0, 5, 0, 5, 0, and so on.

The tens digit increases by 1 every time the units digit cycles from 0 to 5: 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, and so on.

• The pattern in the digits in the units places of this table is that they repeat in a cycle of 5. Specifically, the units digit cycles through the numbers 5, 0, 5, 0, and so on. This is because each number in the table is a multiple of 5, so its units digit must be either 0 or 5.
• As for the tens digits, there is a pattern, but it is more complex. The tens digit increases by 1 every time the units digit cycles from 0 to 5. So the tens digit sequence is 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, and so on.

To summarize:

• The units digit repeats in a cycle of 5: 5, 0, 5, 0, 5, 0, and so on.
• The tens digit increases by 1 every time the units digit cycles from 0 to 5: 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, and so on.

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