Expand 1/3(q−6) using the Distributive Property. answer correctly plz
To expand 1/3(q−6) using the distributive property, we distribute the 1/3 to both terms inside the parentheses:
1/3(q−6) = (1/3)q + (1/3)(-6)
Simplifying further:
= q/3 - 6/3
= q/3 - 2
Therefore, 1/3(q−6) expands to q/3 - 2.
expand 2/5 (-5c+10)
To expand 2/5 (-5c+10) using the distributive property, we distribute the 2/5 to both terms inside the parentheses:
2/5 (-5c+10) = (2/5)(-5c) + (2/5)(10)
Simplifying further:
= -10c/5 + 20/5
= -2c + 4
Therefore, 2/5 (-5c+10) expands to -2c + 4.
expand -7/6 (3g+2)
To expand -7/6 (3g+2) using the distributive property, we distribute the -7/6 to both terms inside the parentheses:
-7/6 (3g+2) = (-7/6)(3g) + (-7/6)(2)
Simplifying further:
= -21g/6 - 14/6
= -7g/2 - 7/3
Therefore, -7/6 (3g+2) expands to -7g/2 - 7/3.
To expand the expression 1/3(q - 6) using the Distributive Property, we multiply each term inside the parentheses by the term outside the parentheses. Let's go through the steps:
Step 1: Distribute the 1/3 to the first term inside the parentheses (q).
1/3 * q = q/3
Step 2: Distribute the 1/3 to the second term inside the parentheses (-6).
1/3 * -6 = -6/3 = -2
Now we can rewrite the expression with the distributed terms:
1/3(q - 6) = q/3 - 2
Thus, the expanded form of the expression 1/3(q - 6) using the Distributive Property is q/3 - 2.