Solution:

Given expression: (-70) ×(10-5-22-83)

Step 1: Simplify the expression inside the brackets

10-5-22-83 = -100

Step 2: Substitute the value of the expression inside the brackets into the main expression

(-70) ×(-100)

Step 3: Multiply the two negative integers

(-70) ×(-100) = 7,000

Therefore, the answer to the given expression is 7,000.

Explanation:

The given expression involves multiplication and subtraction of integers. To solve this expression, we need to follow the order of operations which is parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).

In this case, we first simplify the expression inside the brackets by subtracting the given integers. Then, we substitute the value obtained inside the brackets into the main expression and multiply the two negative integers.

The result obtained is a positive integer which means that the product of two negative integers is positive.

In summary, we can break down the solution into the following headings:

- Given expression
- Simplify the expression inside the brackets
- Substitute the value of the expression inside the brackets into the main expression
- Multiply the two negative integers
- Final answer

HTML bullet points:

Given expression: (-70) ×(10-5-22-83)
Step 1: Simplify the expression inside the brackets
Step 2: Substitute the value of the expression inside the brackets into the main expression
Step 3: Multiply the two negative integers
Final answer: 7,000

The answer is -810.