Multiplication without carrying

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

Example 1: There are 32 students in a class. If there are 4 such classes, how many are the total number of students?
Solution: Number of students in each class = 32.
Number of classes = 4.
Total number of students = 32 x 4.
Here for the multiplication 4 is multiplied to the one’s place 2 x 4 = 8.
Now the 4 is multiplied to the ten’s place 3 x 4 = 12.
Now placing the numbers next to each other. Hence 32 x 4 = 128

Total number of students = 128.
 
Question: Multiple choice question (Pick the correct option.)
What is the answer when 123 is multiplied with 3?
a)    369                             b) 300             c) 345             d) None of these.
Correct answer: option a.
 Explanation: Here given for the multiplication 123 x 3 =?

 Multiply 3 to the ones place this gives 3 x 3 = 9.
Multiply 3 to the ten’s place this gives 2 x 3 = 6.
Now multiply 3 to the hundreds place this gives 1 x 3 = 3.
Now place the numbers next to each other in order. This gives 369
Hence 123 x 3 = 369.

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