I need some advice with this problem. Simplify as indicated. State at least one property of multiplication or division that would prove your simplification process correct.
A. -(n+4), to eliminate the parentheses. B. 6(-s), to eliminate the parentheses. C. 8(24-n), to eliminate the parentheses. D. 12n divided by 12, to reduce the number of symbols. Here is how I answered this: A, B and C are distributive property of multiplication because I am distributing the term outside of the parentheses to all terms inside the parentheses. D. is identity property of division. Is my answers correct?
yes.
Thank you.
Your answers are mostly correct, but let's go through each option to ensure accurate understanding.
A. -(n+4), to eliminate the parentheses:
To simplify this, you can apply the distributive property. The negative sign distributes to each term inside the parentheses, resulting in -n - 4.
The property of multiplication used here is the distributive property, which states that a(b + c) is equal to ab + ac.
B. 6(-s), to eliminate the parentheses:
Similarly, you can apply the distributive property here. The positive 6 distributes to the term -s, resulting in -6s.
The distributive property is again used here.
C. 8(24-n), to eliminate the parentheses:
Once again, apply the distributive property. The number 8 distributes to both 24 and -n, resulting in 192 - 8n.
The distributive property is used in this step as well.
D. 12n divided by 12, to reduce the number of symbols:
To simplify this expression, you can cancel out the 12s. The numerator and denominator both have a factor of 12, so they can be reduced to 1. The final result is n.
The property of division used here is the multiplication identity property, which states that any number multiplied by 1 remains unchanged.
In summary, you correctly identified the distributive property for options A, B, and C. However, for option D, the property used is the multiplication identity property rather than the division identity property.