Article Summary: "You need to formulate instead
of memorizing or reciting. For example, avoid memorizing that 3 x 7 = 21,
instead you may consider it as 3 x 7 = 7 + 7 + 7 = 14 + 7 = 21. This particular
method is a bit challenging in terms of addition for a child, but it lucidly
shows the relationship between multiplication and addition."
Have you heard anytime that addition and multiplication are related? If no, then you students can use this skill to improve your math multiplication. Many students find it difficult to multiply the numbers, but if you practice this skill to hone the multiplication skills, you will find it easy to solve various multiplication problems.
Multiplication is also known as repeated addition. This explains everything about how addition and multiplication are related. However, to understand it in a better way, we will consider few instances. It is described in next paragraph.
Understanding the Relation in a More Lucid Manner:
Let us consider an instance that, there are three students. Each student requires two pencils. So, what is the total number of pencils required all together? You can solve it by adding 2 + 2 + 2 and can obtain the answer as six pencils. To explain it in detail, since there are three students and each one of them require two pencils, therefore adding two pencils three times (since three students) gives the answer as six.
Thus, you have seen that you got the answer for the multiplication problem using repeated addition. Now, if you want the answer for 7 x 6, then you can combine 7 parts with 6 objects in each part. That is, 6 + 6 + 6 + 6 + 6 + 6 + 6 = 42, this is equal to the multiplication equation as 7 x 6 = 42.
Math also uses multiplication and addition, to make students understand the addition concepts such as manipulating the groups to obtain the total products. It also helps to find out the size or quantity of elements in several groups of similar size.
For instance, if you have 6 candies in a pack and you purchase four more packs, then how many candies are you having right now? You can solve this problem by addition method i.e., 6 + 6 + 6 + 6 = 24.This is a repeated addition, which is replaceable by multiplication method of, 4 x 6 = 24.
This is also an explanation of multiplication, wherein multiplication problems include several sets. In the above-mentioned example, you can have a multiplication and addition relationship, e.g., 4 packs of candies and 6 candies per pack show the same thing.
Here, the relation between multiplication method and repeated addition method apparently explains the requirement of understanding the basic addition before learning the 10 x 10 multiplication table.
In short, multiplication is a form of repeated addition, which means that it is a quickest method to add a series of numbers.
For example, 3 x 5 means adding 3 together for five consecutive times or 3 + 3 + 3 + 3 + 3 in terms of addition. You need to keep in mind that, memorizing math will trouble you in solving multiplication problems, since math is all about how to formulate or devise and solve problems, and not recitation.
It is all About Formulation:
You need to formulate instead of memorizing or reciting. For example, avoid memorizing that 3 x 7 = 21, instead you may consider it as 3 x 7 = 7 + 7 + 7 = 14 + 7 = 21. This particular method is a bit challenging in terms of addition for a child, but it lucidly shows the relationship between multiplication and addition.
Accordingly, you may also calculate 9 x 7 = 10 x 7 - 7 = 63 or 6 x 7 = 3 x 7 + 3 x 7 = 21 + 21 = 42. It is also a creative method to learn the multiplication table, which explains you the exact working of math.
Therefore, if you follow this method in your lower standards, then you may easily solve the problems in higher standards.