Multiplication is one of the important and basic arithmetic operations in number representation. It is an operation of scaling a number by another number.

Multiplication is a little type of totaling of the similar number into a number of times. Multiplying process is executed in fraction, decimal, algebraic expressions and etc. The symbol used for multiplying two numbers is '$*$' or '$x$'.

**Example for numbers**:

$275,\ 1987,\ -7665,\ 0$, etc.,

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Different rules for multiplication of two digit numbers are,

**Rule 1:** Positive number $\times$ Positive number =** Positive number**

**Rule 2:** Positive number $\times$ Negative number = **Negative number**

**Rule 3:** Negative number $\times$ Positive number = **Negative number**

**Rule 4:** Negative number $\times$ Negative number =** Positive number**

Below are the examples on **multiplying by two digit numbers -**

Given:

$82\ \times\ 54$

Both are two positive integers so, the result is also a positive numbers

We use this rule,

$Positive\ Number\ \times\ Positive\ Number$ = $Positive\ Number$

Here we multiply $82$ into $54$, and then we get

Now once we add the values, then we get the result $4428$

Given

(- 65) × 49

We multiply the different sign number values then we get the negative number

We use this rule,

Negative number × Positive number = Negative number

Here we multiply (-65) into 49, and then we get

Given

94 × - 76

We multiply the different sign number values then we get the negative number

We use this rule,

Positive number $\times$ Negative number = Negative number

Now we can add the values, then the result would be 7144

Given

(- 29) × (-36)

Both are two negative numbers so, the result is also a positive numbers

We use this rule,

Negative number × Negative number = Positive number

Here we multiply (-29) into (-36), and then we get

Now we have to add the values, then we get the result of 1044

Given :48 x -56

double digit multiplication steps follows

Step 1:

Multiplying the right number by 2

That is 48 x 6 = 288.

Step 2:

Multiplying the next right number by 2

That is 48 x 5 = 240

Step 3:

That is 48 x -56 = -2688.

Below you could see double digit multiplication word problems

Step 1: Each box contains 12 apples. And we have 12 trays.

Step 3: Hence, totally we have 144 apples.

Step 2: Here we require multiplying 12 and 12.

Step 3: Hence, totally we have 144 apples.

Step 1: We know that, john went to the restaurant 10 times.

Step 2: And he buys, 5 ice creams each time.

Step 3: Here we require multiplying 10 and 5.

Step 4: Therefore, totally he bought 50 ice creams.

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