The distributive law, Mathematics

Assignment Help:

The Distributive Law :  If you were asked to mentally multiply 37 with 9, how would you proceed? 1 would do it as follows - 37 is 30 + 7, 30 x 9 = 270, 7 x 9 = 63, so 270 + 63, that is, 270 + 60 + 3, i.e., 333 is the answer. You may do it by thiNting of 37 as 40 - 3, and then finding (40 x 9) - (3 x 9) as the answer. Or, you may do it directly by mentally visualising the algorithm.

Splitting a number up into parts helps us in efficient calculation. This way of calculating is possible because of the distributive law of multiplication with respect to addition / subtraction. What it says is that, for example,

(30 + 7) x 9 = (30 x 9) + (7 x 9)

More generally, for any three numbers a, b and c, the law says that

(a+ b) x c=(a x c) + (b xc), and

(a- b) xc=(axc)-(b xc).

How can we help children understand this law? Maya (see Example 2) told us what she does with the children of Class 3.

 

 

 


Related Discussions:- The distributive law

The alternative hypothesis, The alternative hypothesis When formulatin...

The alternative hypothesis When formulating a null hypothesis we also consider the fact that the belief may be found to be untrue thus we will refuse it.  Therefore we formula

Determine the approximate raw act score, Using the same mean and standard d...

Using the same mean and standard deviation as mean m = 20.1 and a standard deviation s = 5.8. Joe was informed that he scored at the 68 th percentile on the ACT, what was Joe's ap

Particular to general-how mathematical ideas grow, Particular to General : ...

Particular to General :  When I say 'tail', what do you think of? Do you think of the tail of a horse, or of a monkey? Or do you think of the tail of your pet dog? The tail of

Evaluate the limit, Evaluate the given limit. Solution : It is a ...

Evaluate the given limit. Solution : It is a combination of many of the functions listed above and none of the limited are violated so all we have to do is plug in x = 3

Operations with rational numbers, larry spends 3/4 hours twice a day walkin...

larry spends 3/4 hours twice a day walking and playing with his dog. He spends 1/6 hours twice a day feeding his dog. how much time does larry spend on his dog each day?

Factors, Question Suppose that f(x) has (x - 2) 2 and (x + 1) as its on...

Question Suppose that f(x) has (x - 2) 2 and (x + 1) as its only factors. Sketch the graph of f. State all the zeros of f.

5th grade, 6 and 3/8 minus 1 and 3/4

6 and 3/8 minus 1 and 3/4

Pre Calculus 12, A radioactive substance decays to 30% of its original mass...

A radioactive substance decays to 30% of its original mass in 15 months. Determine the half-life of this radioactive substance to the nearest month

Probability, There are 20 defective bulbs in a box of 100 bulbs.if 10bulbs ...

There are 20 defective bulbs in a box of 100 bulbs.if 10bulbs are choosen at random then what is the probability of there are just 3defective bulbs

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