write previous knowledge about the multiplication & division of whole number.
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Answer:
That's the algorithm. Divide, multiply, then subtract. You may continue only when the remainder is smaller than the divisor. To continue, bring down the 5, estimate that 115 divided by 23 is 5, then multiply 5 times the divisor and subtract.
In the expression \(3 · 4\), the whole numbers 3 and 4 are called the factors and \(3 · 4\) is called the product.
The peculiarity of multiplying and dividing integers with respect to multiplications and divisions with natural numbers is that we now multiply and divide also the sign that has each integer.
Therefore, before we learn to multiply and divide whole numbers, we need to know a very important law, known as the rule of signs or the law of signs.
Rule of Signs
We use the rule of signs to know the result of multiplying and dividing the sign of integers:
For multiplication:
More for more is more
More for less is less
Less for more is less
Less for less is more multiplication and division
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