3458 + 7658 - (3218 - 2378) + 2168 *1358 в 6 система счисления

To solve the expression \( 3458 + 7658 - (3218 - 2378) + 2168 \), let's break it down step by step:

1. Calculate \( 3218 - 2378 \): \[ 3218 - 2378 = 840 \]

2. Now substitute this back into the expression: \[ 3458 + 7658 - 840 + 2168 \]

3. Now let's add and subtract these numbers:

   • First, add \( 3458 + 7658 \): \[ 3458 + 7658 = 11116 \]

   • Next, subtract \( 840 \): \[ 11116 - 840 = 10276 \]

   • Finally, add \( 2168 \): \[ 10276 + 2168 = 12444 \]

Thus, the result of the arithmetic expression is \( 12444 \).

Next, let's convert the decimal number \( 1358 \) to base 6.

1. Divide \( 1358 \) by \( 6 \):

   • \( 1358 \div 6 = 226\) remainder \( 2 \)
   • So, the least significant digit (rightmost) in base 6 is \( 2 \).

2. Divide \( 226 \) by \( 6 \):

   • \( 226 \div 6 = 37\) remainder \( 4 \)
   • The next digit is \( 4 \).

3. Divide \( 37 \) by \( 6 \):

   • \( 37 \div 6 = 6 \) remainder \( 1 \)
   • The next digit is \( 1 \).

4. Divide \( 6 \) by \( 6 \):

   • \( 6 \div 6 = 1 \) remainder \( 0 \)
   • The next digit is \( 0 \).

5. Lastly, divide \( 1 \) by \( 6 \):

   • \( 1 \div 6 = 0 \) remainder \( 1 \)
   • The next digit is \( 1 \).

Now, we compile the remainders from last to first: So, \( 1358 \) in base \( 6 \) is written as \( 104242_6 \).

Final Summary:

• The result of the expression is \( 12444 \).
• The number \( 1358 \) in base \( 6 \) is \( 104242_6 \).