Property of Whole Numbers: Distributive Property
The given expression 13×(100-19) can be simplified using the distributive property of multiplication over addition and subtraction. This property states that for any whole numbers a, b, and c, a×(b+c) = a×b + a×c.

Explanation:

Step 1: Simplify the expression
13×(100-19) = 13×100 - 13×19

Step 2: Calculate the products
13×100 = 1300
13×19 = 247

Step 3: Subtract the products
1300 - 247 = 1053
Therefore, 13×(100-19) = 1053.

Conclusion:
The distributive property of multiplication over addition and subtraction allows us to simplify expressions by distributing the multiplication across the terms inside the parentheses. In this case, we can calculate the product of 13 with each term individually before subtracting the results to find the final answer. This property is a fundamental concept in mathematics and is used to simplify calculations involving whole numbers.