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Lana71 [14]
3 years ago
11

When two numbers have a sum equal to ___ the numbers are additive inverses example of __ + -9 =0 and 18 + __ = 0

Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer: Zero; 9; -18

Step-by-step explanation:

An additive inverse always adds up to zero. 9 is the opposite of -9, and -18 is the opposite of 18

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Replacement of -1/2(8x +2) by -4x -1 is use of the <em>distributive property</em>, eliminating choices B and D.

In step 3, addition of 1 to both sides of the equation is use of the <em>addition property of equality</em>, eliminating choice C. This leaves only choice A.

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<em>Additional comment</em>

This problem makes a distinction between the addition property of equality and the subtraction property of equality. They are essentially the same property, since addition of +1 is the same as subtraction of -1. The result shown in Step 3 could be from addition of +1 to both sides of the equation, or it could be from subtraction of -1 from both sides of the equation.

In general, you want to add the opposite of the number you don't want. Here, that number is -1, so we add +1. Of course, adding an opposite is the same as subtracting.

In short, you can argue both choices A and C have correct justifications. The only reason to prefer choice A is that we usually think of adding positive numbers as <em>addition</em>, and adding negative numbers as <em>subtraction</em>.

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