Question

write about which method you prefer to use to multiply two digit numbers regrouping partial products or breaking apart and model explain why

Answer 1

Partial products because it supplies a more clear answer and it doesnt need as much testing as breaking apart and model

Answer 2

Partial products are preferred.

If we have to multiply ,two two digit numbers

The three methods which is given here is:

1.Regrouping :

→→45 × 36

= 170

105

--------

1 2 2 0

2.Partial Products

→34 × 23

= 20 + 3

30|600 + 90|

+

4 |80 + 12|

=782

3. Breaking apart

→→ 43 × 32

=(40+3)×(30+2)

=40×30+3×30+40×2+3×2

=1200+90+80+6

=1376

In Breaking Apart Model, we break the two digit number such that, 0 is at unit digit and then use the Identity

⇒(x+a)×(x+b)=x²+(a+b)x+ab

In this model we don't have to make table.So, this method is Preferred.