The Distributive Property also combines subtraction and multiplication. For example, 3x(5-2)=(3x5)-(3x2). Explain how you could use the Distributive Property and mental math to find 5x198. THX
Solution: The value of \(5\times 198\) is 990.
Explanation:
According to the distribution property if a number is multiplied with the parentheses, then the number is multiplied by each element of the parenthesis. It is also represented by the following equation.
\(a(b+c)=ab+ac\)
Given expression is \(5\times 198\).
Write the number 198 as the sum of the place values of the digits.
\(5\times 198=5\times (100+90+8)\)
\(5\times 198=5\times 100+5\times 90+5\times 8\\5\times 198=500+450+40\\ 5\times 198=990\)
Therefore, the value of \(5\times 198\) is 990.