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

prove that x = 2h/3, A vertical post stands on a horizontal plane.  The an...

A vertical post stands on a horizontal plane.  The angle of elevation of the top is 60 o and that of a point x metre be the height of the post, then prove that x = 2 h/3 .

What is the value of m+n, Every point (x,y) on the curve y=log2 3x is trans...

Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve

Find out the minimum distance from the origin, Problem 1. Find the maximum...

Problem 1. Find the maximum and the minimum distance from the origin to the ellipse x 2 + xy + y 2 = 3. Hints: (i) Use x 2 + y 2 as your objective function; (ii) You c

Algorithm for division, Also, their inability to apply the algorithm for di...

Also, their inability to apply the algorithm for division becomes quite evident. The reason for these difficulties may be many. We have listed some of them below. 1) There are n

Variation of parameters, In this case we will require deriving a new formul...

In this case we will require deriving a new formula for variation of parameters for systems.  The derivation now will be much simpler than the when we first noticed variation of pa

Prime factors, I need help with prime factors.

I need help with prime factors.

Explain venn diagrams, Q. Explain Venn diagrams? Ans. Venn diagram...

Q. Explain Venn diagrams? Ans. Venn diagrams, named after the Englishman John Venn, are "area" or "region" diagrams that can be used to help visualize and organize differe

Show that 3cos-4cos3 = 0, If sin? =  1/2 , show that 3cos?-4cos 3 ? = 0. ...

If sin? =  1/2 , show that 3cos?-4cos 3 ? = 0. Ans:    Sin ? = ½ ⇒ ? = 30 o Substituting in place of ? =30 o . We get 0.

Differntial equation, (3x+2)^2 d^2y/dx^2+3(3x+2)dy/dx-36y=3x^2+4x+1

(3x+2)^2 d^2y/dx^2+3(3x+2)dy/dx-36y=3x^2+4x+1

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