Example of distributive law, Mathematics

Assignment Help:

Maya gives the children examples of distributive with small numbers initially, and leads them towards discovering the law. The usual way she does this is to give the children problems like 'An army officer has 7 rows of buttons on his uniform, with four in each row. 4 rows are above the belt, and 3 below. What are the total number of buttons?'. They usually count all the rows, and write that the total is

7 times 4 = 7(4) = 7 x 4 = 28.

Then she gets them to do it in the following way: 3 ROWS

How many rows above the belt? ...... 4 rows. 4 ROWS

So, how many buttons in all above the belt? ...... 4 times 4, i.e., 16.

How many below the belt? ,.. 3 times 4, i.e., 12.

How many in'all? ..... . 16 + 12, i.e., 28.

Both the answers are the same. Why is this so? ,  (4x4)+(3~4)=(4+3)x4

She does a rough drawing of 7 rows of 4 buttons each , and points out to them how the 7 rows can be broken up into 4 rows and 3 rows. She also points out that this covers all the buttons. So

7 rows = 4 rows + 3 rows

After some of these types of examples, she gives them problems to do on their own too.

Once they have had some practice in applying the distributive law, she introduces them to the use of distributive for multiplying a 2-digit number by a I-digit number.

For this, she begins with giving them story problems like 'A boy sells plastic flowers packed in sets of 5. He keeps 10 packets on his right and 4 on his left. How many flowers does he have in all?'. She leads them towards applying the distributive law by asking questions like "How .many packets in all?", "How many on his right?", etc. Asking relevant questions, she lets the children discover that

What she stresses in this process is the first step, i.e., the distributive. With more examples of this kind, she finds that the children slowly begin to recognise that when a 2d1git number is to be multiplied by a single digit number, it is broken up into tens and ones, each is multiplied separately, and these products are added to get the required answer.

She also gives the children the following kind of exercises to do to practise distributive.

Of course, this is not a one-time activity. She returns to distributive again and again, over a period of time, while they are learning the standard algorithm.


Related Discussions:- Example of distributive law

Coefficient of determination, It refers to the ratio of the explained varia...

It refers to the ratio of the explained variation to the total variation and is utilized to measure the strength of the linear relationship. The stronger the linear relationship th

Division, How do i divide 200 by 4

How do i divide 200 by 4

Divison, what is 24 diveded by 3

what is 24 diveded by 3

Solid mensuration, Find the are of the rectilinear.if it is the difference ...

Find the are of the rectilinear.if it is the difference between to isosceles trapezoid whose corrsponding sides are parallel.

Triangle treat, what letters to fill in the boxes

what letters to fill in the boxes

5% sales tax on a basket what was the price of the basket, The 5% sales tax...

The 5% sales tax on a basket was $0.70. What was the price of the basket? Use a proportion to solve the problem; part/whole = %/100. The whole is the price of the basket (wh

Do all our activities involve mathematics?, Do All Our Activities Involve M...

Do All Our Activities Involve Mathematics? :  The answer to this is 'yes' and 'no'. For those who look for mathematics and know where to look for it, it is 'yes'. For those who do

Properties of relations in a set, Reflexive Relations: R is a reflexive...

Reflexive Relations: R is a reflexive relation if (a, a) € R,  a € A. It could be noticed if there is at least one member a € A like (a, a) € R, then R is not reflexive. Sy

Addition and subtraction, In addition and subtraction we have discussed ...

In addition and subtraction we have discussed 1) Some ways of conveying the meaning of the operations of addition and subtraction to children. 2) The different models o

Real analysis, .find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd a...

.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd