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

How tall was peter when he turned 15, Peter was 60 inches tall on his thirt...

Peter was 60 inches tall on his thirteenth birthday. By the time he turned 15, his height had increased 15%. How tall was Peter when he turned 15? Find 15% of 60 inches and add

What does required to earn on his further science test in 93, Justin earned...

Justin earned scores of 85, 92, and 95 on his science tests. What does he required to earn on his further science test to have an average (arithmetic mean) of 93%? To earn an a

Area of a parallelogram x what is the height in terms of x, The area of a p...

The area of a parallelogram is x 8 . If the base is x 4 , what is the height in terms of x? Since the area of a parallelogram is A = base times height, then the area divided by

Value delivery, What do you mean by value delivery

What do you mean by value delivery

What would this expression simplify to, If 3x2 is multiplied by the quantit...

If 3x2 is multiplied by the quantity 2x3y raised to the fourth power, what would this expression simplify to? The statement in the question would translate to 3x 2 (2x 3 y) 4 .

Give an equations with the variable on both sides, Give an Equations with t...

Give an Equations with the variable on both sides ? Many equations that you encounter will have variables on both sides. Some of these equations will even contain grouping sy

Solving ratios, you are in charge of making punch for an upcoming dance. th...

you are in charge of making punch for an upcoming dance. the punch recipe makes 5 cups of punch by making 3 cups of cranberry juice with 2 cups of apple juice. What is the ratio of

Marketing, In a 2500 word report do the market analysis of China. Under thi...

In a 2500 word report do the market analysis of China. Under this you have to explain: - What are the advantages and disadvantages for foreign company to set up its business cent

the jetstream''s speed, A passenger jet took 3 hours to fly 1800 km in the...

A passenger jet took 3 hours to fly 1800 km in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the

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