Which expression results from using the Distributive Property to rewrite − 9 . 1 ( − 4 ) − 9 . 1 ( 12 ) -9.1(-4) - 9.1(12)? A. 9 . 1 ( − 4 + 12 )B. − 9 . 1 ( − 4 + 12 C. 9 . 1 ( − 4 − 12 ) D. − 9 . 1 ( 4 - 12 )
To use the Distributive Property, we need to distribute -9.1 to both terms inside the parentheses.
Starting with -9.1(-4), we multiply -9.1 by -4:
-9.1 * -4 = 36.4
Next, we move to -9.1(12).
-9.1 * 12 = -109.2
Now we have the two simplified expressions:
-9.1(-4) = 36.4
-9.1(12) = -109.2
Combining these two expressions, the resulting expression is:
36.4 - 109.2
Simplifying further, we have:
-72.8
Therefore, the correct expression resulting from using the Distributive Property is option D. -9.1(4 - 12).
To use the Distributive Property, you need to multiply each term inside the parentheses by the number outside the parentheses.
Let's start with the expression: -9.1(-4) - 9.1(12).
First, apply the Distributive Property to the first term: -9.1(-4).
Multiply -9.1 by -4: -9.1 * -4 = 36.4.
Next, apply the Distributive Property to the second term: -9.1(12).
Multiply -9.1 by 12: -9.1 * 12 = -109.2.
Now, combine the results of the two terms:
36.4 -109.2
Therefore, the expression -9.1(-4) - 9.1(12) can be rewritten as 36.4 - 109.2.
None of the given options match this result.
look for something of the form
ab + ac = a(b+c)