Question

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

Answer 1

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.

Answer 2

100x5=500
90x5= 450
8x5= 40now add
500+450+40=990

:) hope this helps