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

Respuesta :

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

:) hope this helps

Solution: The value of [tex]5\times 198[/tex] 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.

[tex]a(b+c)=ab+ac[/tex]

Given expression is [tex]5\times 198[/tex].

Write the number 198 as the sum of the place values of the digits.

[tex]5\times 198=5\times (100+90+8)[/tex]

[tex]5\times 198=5\times 100+5\times 90+5\times 8\\5\times 198=500+450+40\\ 5\times 198=990[/tex]

Therefore, the value of [tex]5\times 198[/tex] is 990.

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