Question

Решите 11*21*31*41*51-1делится ли это выражение на 10???

Answer 1

Т.к. все множители заканчиваются на 1, то их произведение заканчивается на 1.
*******1-1=*******0
по признаку делимости на 10 это число кратно десяти

Answer 2

Calculating the Expression

To determine if the expression \(11 \times 21 \times 31 \times 41 \times 51 - 1\) is divisible by 10, we can first calculate the value of the expression.

The value of the expression is: \[11 \times 21 \times 31 \times 41 \times 51 - 1\]

Let's calculate the value of this expression.

Calculation

\[11 \times 21 \times 31 \times 41 \times 51 - 1 = 63,742,610\]

Divisibility by 10

To check if this expression is divisible by 10, we can examine the last digit of the result. If the last digit is 0, then the expression is divisible by 10.

The last digit of the result \(63,742,610\) is 0, which means that the expression \(11 \times 21 \times 31 \times 41 \times 51 - 1\) is indeed divisible by 10.

Therefore, the expression \(11 \times 21 \times 31 \times 41 \times 51 - 1\) is divisible by 10.