Answer:
1. D
2. A
Step-by-step explanation:
1. It asks you what expression has the same value as (-14)-8. All you need to do is find other equations that have the same value as that. So the equation is -14-8. IF a negative is outside a parenthesis with a positive number inside like -(+5), it is going to be -5. If it's both negative: -(-5), it will be +5. If it is both positive: +(+5), it is going to be +5.
<u>IMPORTANT!</u>
<u>- and + = -</u>
<u>- and - = +</u>
<u>+ and + = +</u>
<u />
What we are looking for: -14-8
<em>So choice A is (-14)+8 which is simplified to -14+8. So, this one isn't right.</em>
<em>Choice B: 14-(-8)= 14+8. So, it's incorrect.</em>
<em>Choice C: 14+(-8)= 14-8. Again, it's not -14-8 so it's not right.</em>
<em>Choice D: (-14)+(-8)= -14-8. This equation matches the one we are looking for! So it's correct!</em>
<em />
2. Same thing as number 1. Let's simplify the equation it wants us to find first.
(-14)-(-8)= -14+8
So -14+8 is what we are looking for.
<em>Choice A: (-14)+8= -14+8. It matches! So it is correct. Let's look at the other options anyway.</em>
<em>Choice B: 14-(-8)= 14+8. Nope. Not right.</em>
<em>Choice C: 14+(-8)= 14-8 because - always beats +. So, this one is also incorrect.</em>
<em>Choice D: (-14)+(-8)= -14-8. Oops, this is also wrong. So choice A is the right answer.</em>
Keep in mind, when you start getting questions like this with numbers inside the parenthesis as well, you want to remember the same rules for positive and negative, but also multiply the numbers together:
(<u><em>When there is a number outside and inside a parentheses, multiply them</em></u>.)
2(5)=10, CORRECT! 2+(5) is not 2 times 5. It's whatever is closest to the parentheses, in this case being the positive sign. So + and 5 is just 5!
<u>IMPORTANT!</u>
<u>-2(-5)= - and - is positive, so positive (2 times 5). Positive 10.</u>
<u>-2(+5)= - and + is negative, so negative (2 times 5). Negative 10.</u>
<u>+2(+5)= + and + is positive, so positive (2 times 5). Positive 10.</u>
