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

Which expression has an answer of 18, Which expression has an answer of 18?...

Which expression has an answer of 18? Use the order of operations and try every option. The first option results in 14 since 2 . 5 = 10, then 10 + 4 = 14. This does not work. T

Forecast errors, Forecast Errors Differences among actual results and ...

Forecast Errors Differences among actual results and predictions may arise from many reasons. They may arise from random influences, usual sampling errors, option of the wrong

Chi-square test, my question involves frequencies less than five and i cann...

my question involves frequencies less than five and i cannot aggregate the data, what do i use instead of the chi-square test?

Classification-developing pre-number concepts, Classification :  As you kn...

Classification :  As you know, classification (also called grouping) involves putting together things that have some characteristic in common. We can say that a child is able to c

Normal distribution, Normal Distribution Figure 1 The norm...

Normal Distribution Figure 1 The normal distribution reflects the various values taken by many real life variables like the heights and weights of people or the ma

Ways for 30 identical balls can be distributed among 4 boys, In how many w...

In how many ways 30 identical balls can be DISTRIBUTED among 4 boys?? Ans) Let they get a,b,c,d respectively. You requireto find the non negative integral results of a+b+c+d=3

Evaluate indefinite integrals, Evaluate following indefinite integrals. ...

Evaluate following indefinite integrals.  (a) ∫ 5t 3 -10t -6 + 4 dt  (b) ∫ dy Solution  (a) ∫ 5t 3 -10t -6 + 4 dt There's not whole lot to do here other than u

Linear function, find the temperature at which the celsius and farhenheit t...

find the temperature at which the celsius and farhenheit temperatures are numerically equl

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