Cumulative Practice
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Use the Additive Inverse Property.
H
We want to find which expression is not equal to 0. Let's start by recalling the Additive Inverse Property.
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The sum of a number and its additive inverse, or opposite, is 0. |
We can use this property simplify each expression one at a time.
Recall that to subtract an integer, we add its opposite. Let's use this information to simplify the given expression. 5-5 ⇔ 5+(- 5) Notice that - 5 is the additive inverse of 5. By the Additive Inverse Property, we know that the sum of 5 and - 5 is 0. This means that Expression F is equal 0.
We will consider Expression G next. - 7+7 Notice that - 7 is the additive inverse of 7. By the Additive Inverse Property, we know that the sum of - 7 and 7 is 0. This means that Expression G is also equal 0.
Let's look at Expression H. 6-(- 6) Start by rewriting the subtraction as a sum. 6-(- 6) ⇔ 6+6 Unlike the other two, this expression is a sum of two positive numbers. Since the sum of two positive numbers is always positive, the sum of 6 and 6 is not equal 0. In other words, Expression H is not equal to 0. Even though we found that Expression H is a correct answer, let's review Expression I, just to be sure.
We can consider Expression I. - 8-(- 8) Let's simplify the expression. - 8-(- 8) ⇔ - 8+8 Notice that 8 is the additive inverse of - 8. By the Additive Inverse Property, we know that the sum of - 8 and 8 is 0, meaning that Expression I is not the correct answer. The only correct option is Expression H.