Respuesta :

The expanded form for 6 x 532 is 3,000 + 100 + 90 + 2 (3,192).

Answer:

Distributive property is used to find the expanded form.  

Step-by-step explanation:

We are given an expression:

[tex]6\times 532[/tex]

This expression can be evaluated with the help of distributive property.

  • It helps to solve complicated multiplication problem easily by splitting the term into addends and then adding each product.
  • [tex]a\times (b + c) = (a\times b) + (a\times c)[/tex]

Working:

[tex]6\times 532\\=6\times (500 + 30 + 2)\\=(6\times 500)+(6\times 30)+(6\times 2)\\=3000 + 180 + 12\\= 3192[/tex]

[tex]3192 = 3000 + 100 + 90 + 2[/tex]