Multi digit multiplication

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Multiplication is one of the basic and important arithmetic operation used in different branches of mathematics. 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. Digits is number of place value in a given number.

Example 1: Multiply the two digit numbers 56 and 13?
Solution: Given are two digit numbers 56 and 13.

Here for the multiplication 56 is multiplied to the one’s place of 13; 56 x 3 = 168.
Now the 56 is multiplied to the ten’s place of 13; 56 x 1 = 56. (Place a zero next to the derived answer gives 560.)
Now add the two multiplied numbers. This gives 168 + 560 = 728.
Hence 56 x 13 = 728.

Question: Multiple choice question (Pick the correct option.)
What is the answer when 426 is multiplied with 5?
a)    2000               b) 2300                      c) 2130                       d) None of these.
Correct answer: option c.
Explanation: Here given for the multiplication 426 x 5 =?

Multiply 5 to the ones place of 426; 6 x 5 = 30. (Carry the 3.)
Multiply 5 to the ten’s place of 426; 426 x 2 = 10.
(Add the carried 3; 10 + 3 = 13 and carry the 1)
Multiply 5 to the hundredth place of 426; 4 x 5 = 20. (Add the carried 1; 20 + 1 = 21.)
Hence 426 x 5 = 2130.