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#### Arithmetic operations. Number identities , Puzzles

In the equation $101 – 102 = 1,$ move one digit in such a way that that it becomes true.

#### Decimal number system

Find the largest number of which each digit, starting with the third, is equal to the sum of the two previous digits.

#### Decimal number system

Find the largest six-digit number, for which each digit, starting with the third, is equal to the sum of the two previous digits.

#### Counting in two ways , Number tables and its properties

Is it possible to fill a $5 \times 5$ table with numbers so that the sum of the numbers in each row is positive and the sum of the numbers in each column is negative?

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