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

HELP, a manufacturer is interested in developing a benefit segmentation of ...

a manufacturer is interested in developing a benefit segmentation of the cameramarket.suggest some major benefit segments with market targeting strategies.

RATIO, 3 years to 104 weeks,express answer in ratio

3 years to 104 weeks,express answer in ratio

Critical points, Critical Point Definition : We say that x = c is a critic...

Critical Point Definition : We say that x = c is a critical point of function f(x) if f (c) exists & if either of the given are true. f ′ (c ) = 0        OR             f ′ (c

Determine whether the following numbers are odd or even, Determine whether ...

Determine whether the following numbers are odd or even: Examples: Determine whether the following numbers are odd or even:  364, 1068, & 257. Solution: 1.

#title.algebra., how do i understand algebra? whats the formula i just dont...

how do i understand algebra? whats the formula i just dont get it

Example of decimal to fraction conversion, Example of Decimal to Fraction C...

Example of Decimal to Fraction Conversion: Example: Convert 18.82 to a mixed number. Solution: Step 1:            18.82 is 18 and 82 hundredths. 18.82 = 18(8

Probability, an insurance salesman sells policies to 5 men, all of identica...

an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 20 years hence is 2/3.Find the p

Sum of their areas is given find radii of the two circles, Two circles touc...

Two circles touch externally. The sum of their areas is 58 π cm 2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm) Ans:

Multiply the polynomials, Multiply following. (a) (4x 2 -x)(6-3x) (b)...

Multiply following. (a) (4x 2 -x)(6-3x) (b) (2x+6) 2 Solution  (a) (4x 2 - x )(6 - 3x ) Again we will only FOIL this one out. (4x 2  - x )(6 - 3x) = 24x 2 -

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