Multiplication as Repeated Addition



Let us consider an example to understand multiplication as a repeated addition operation. Suppose there are some toy cars divided into 6 groups each having 4 toy cars. The total number of toy cars can be found by adding 4 repeatedly 6 times as shown below.

4 + 4 + 4 + 4 + 4 + 4 = 24

Divided into 6

The same result is also obtained by multiplication operation. Since 4 is being repeatedly added take 4 and multiply it with the number of groups which is 6.

So 4 × 6 = 24 (Read as 4 times 6 equals 24)

Here 4 and 6 care called as factors and the resulting number is called as product.

The way multiplication is related to repeated addition can be explained in this way, i.e. multiplying a × b is the same as adding a repeatedly b number of times.

For example, for objects arranged in 4 rows and 5 columns (20 in all);

5 + 5 + 5 + 5 and 4 × 5 represents the total number of objects.

When you multiply, you add equal groups together to find the total.

Divided into 6

Write the number of keys that you see. Write it as both an addition and multiplication problem

2 + 2 + 2 + 2 =

4 × 2 =

Solution

Step 1:

We see 2 keys in each group. There are 4 groups.

To simplify, there are 4 groups of 2 keys or

2 + 2 + 2 + 2 = 8

Step 2:

This can also be written as a multiplication problem.

4 groups and each group has 2 keys so we can multiply

4 × 2 = 8

Step 3:

So,

2 + 2 + 2 + 2 = 8

4 × 2 = 8

Rewrite the following repeated addition as a multiplication sentence

2 + 2 + 2 + 2 +2 + 2 = 12

Solution

Step 1:

Here 2 is being repeatedly added, so first write a 2. Then we count the number of times it is being added. This is 6 times.

Step 2:

So the multiplication sentence would be

2 × 6 = 12



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