Multiplying 2 digits by 2 digits

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Multiplication of two numbers is like adding one them as many times as the other number. Multiplication is denoted by a cross sign ×. In multiplication the order of the numbers doesn’t change the answer. So multiplication of two numbers is commutative and associative. Multiplication is one of the basic and important arithmetic operation used in different branches of mathematics.

Example 1: There are 23 chocolates in a box. There are 12 such boxes, how many total number of chocolates are there in the boxes?
Solution: Number of chocolates in each box = 23.
Number of boxes = 12.
Total number of chocolates = 23 x 12.

Here for the multiplication 23 is multiplied to the one’s place of 12; 23 x 2 = 46.
Now the 23 is multiplied to the ten’s place of 12; 23 x 1 = 23.
Now add the two number by placing a 0 next to number of the tens’s place.
This gives 46 + 230 = 276.
Total number of chocolates = 276.
 
Question: Multiple choice question (Pick the correct option.)
What is the answer when 33 is multiplied with 11?
a)    33                    b) 30               c) 44               d) None of these.
Correct answer: option a.
 Explanation: Here given for the multiplication 33 x 11 =?

 Multiply 33 to the ones place of 11; 33 x 1 = 33.
Multiply 33 to the ten’s place of 11; 33 x 1 = 33.
Now add the two number by placing a 0 next to number of the ten’s place.
Hence 33 x 11 = 363.

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