Answer:
Distributive property is used to find the expanded form.
Step-by-step explanation:
We are given an expression:
\(6\times 532\)
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.
- \(a\times (b + c) = (a\times b) + (a\times c)\)
Working:
\(6\times 532\\=6\times (500 + 30 + 2)\\=(6\times 500)+(6\times 30)+(6\times 2)\\=3000 + 180 + 12\\= 3192\)
\(3192 = 3000 + 100 + 90 + 2\)