11. Chapter Notes: How Many Times?

Multiplication as Repeated Addition

Two elephant families are going for a jungle walk.
Multiplication as Repeated AdditionEach family has 4 elephants.We say, there are 4 + 4 = 8 elephants going for a jungle walk.
Or
There are 2 groups of elephants and there are 4 elephants in each group.
4 + 4 = 8 is called repeated addition expression for 2 (equal sized) groups of 4 elephants each. 

Adding the same number over and over again is called repeated addition.

Tips: 4 + 4 = 8 is called repeated addition because 4 is added repeatedly.

Another Way of Writing Repeated Addition

Look at the repeated addition expression in the picture.
Another Way of Writing Repeated Addition

5 + 5 + 5 + 5 = 20Instead of adding the same number 5 over and over again 4 times, an easier way to get the answer is 4 x 5 = 20.4 x 5 = 20 is read as 4 times 5 is equal to 20. 
Or
4 multiplied by 5 is equal to 20.

Edurev Tips: ‘x’ is the sign of multiplication.
4 x 5 is the multiplication expression instead of repeated addition expression
5 + 5 + 5 + 5 = 20.

Multiplication on a Number Line

Multiplication can also be shown on a number line.
3 x 5 = 15 is represented below on the number line.
Multiplication on a Number LineStarting from 0, there are 3 jumps and each jump covers 5 units (steps) on the number line.Or3 times 5 units covered.
Or
3 x 5 = 15 (There are 3 jumps. Each jump is of 5 units,)

Multiplication Using an Array

Let us understand another way of multiplication— by using an array. Array is an arrangement of numbers or objects in rows and columns.
Look at the picture of 15 children sitting in 3 rows and 5 columns:
Multiplication Using an ArrayHere, there are 3 equal groups of 5 children.OrThere are 3 x 5 = 15 children in all.

Number of groups x Equal number of objects in each group = Number of objects

Edurev Tips: Array tells us how many groups of equals are there.

Building Multiplication Tables or “Times Tables”

Multiplication tables can be formed by repeated addition. 

  • Multiplication Table of 1
    Building Multiplication Tables or “Times Tables”
  • Multiplication Table of 2
    Building Multiplication Tables or “Times Tables”
  • Multiplication Table of 5
    Building Multiplication Tables or “Times Tables”
  • Multiplication Table of 10
    Building Multiplication Tables or “Times Tables”

Edurev Tips:

  • One multiplied by any number gives the number itself.
  • In multiplication table of 5 we have either 5 or 0 in the ones place.