Which expression shows how to use additive inverse to find -2.35 - 6.32?

A. -2.35 - (-6.32)
B. 2.35 - 6.32
C. 2.35 - (-6.32)
D. -2.35 + 6.32

1 answer

To find \(-2.35 - 6.32\) using the concept of additive inverses, we can rewrite the expression involving the additive inverse of \(6.32\).

The additive inverse of \(6.32\) is \(-6.32\). Therefore:

\[ -2.35 - 6.32 \text{ can be rewritten as } -2.35 + (-6.32) \]

However, this doesn't directly match any of the options you provided. But we can represent the original expression as follows:

\[ -2.35 - 6.32 = -2.35 + (-6.32) \]

Thus, the correct option that accurately uses the concept of the additive inverse in a way to find \(-2.35 - 6.32\) is:

A. \(-2.35 - (-6.32)\)

This choice effectively shows the use of the additive inverse as subtracting a negative is equivalent to addition. But to clarify, the expression "using additive inverses" technically means we are rewriting it explicitly. The most direct representation, however, is indeed \( -2.35 + (-6.32) \), which is not listed.

For the clearer connection based on the question's options, the answer could be viewed as:

D. -2.35 + 6.32 (effectively demonstrating additive inverse in another context).

These considerations suggest option A conforms to an interpretation of additive inverses more accurately.

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