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# Multiplying Two Digit Numbers

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.,

 Related Calculators Multiply Mixed Number Multiplying Binary Numbers Calculator GCF Calculator for 2 Numbers LCM Calculator for 2 Numbers

## Multiplication Rules

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

## Double Digit Multiplication Problems

Below are the examples on multiplying by two digit numbers -

### Solved Examples

Question 1: Solve the given numbers by using the multiplication operation: 82 × 54
Solution:

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 $4428$

Question 2: Solve using the multiplication operation: (- 65) × 49
Solution:

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

Question 3: Multiply: 94 × (- 76)
Solution:

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

Question 4: Solve using multiplication operation: (- 29) × (- 36)
Solution:

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

Question 5: Multiply following two digit numbers: 48 x -56
Solution:
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.

## Double Digit Multiplication Word Problems

Below you could see double digit multiplication word problems

### Solved Examples

Question 1: There are 12 apples in each tray; there are 12 apples trays. How many total apples are there in the trays?
Solution:
Step 1: Each box contains 12 apples. And we have 12 trays.

Step 2: Here we require multiplying 12 and 12.

Step 3: Hence, totally we have 144 apples.

Question 2: John went to the restaurant 10 times last month. He buys 5 ice creams each time he goes to the restaurant. How many ice creams did john buy last month?
Solution:
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.