Which of the following situations is an application of the additive inverse property? choose all that apply. a. a neutrally-charged carbon atom contains 6 positively-charged protons and 6 negatively-charged electrons. b. the average temperature in cleveland, ohio in december is 38∘f. on a particularly cold day last year, the temperature change was −38∘f from the previous day. c. a model rocket flies 50 meters into the air. it falls 50 meters before it hits the ground. d. the price of gold is $3.00 per ounce less than it was yesterday.

A. A neutrally-charged carbon atom contains 6 positively-charged protons and 6 negatively-charged electrons. CORRECTB. The average temperature in Cleveland, Ohio in December is 38∘F. On a particularly cold day last year, the temperature change was −38∘F from the previous day. CORRECTC. A model rocket flies 50 meters into the air. It falls 50 meters before it hits the ground. CORRECTD. The price of gold is $3.00 per ounce less than it was yesterday. WRONG

Explanation:

The additive inverse property is the property that states that the addtiion of a number with its negative is zero: b + (-b) = 0.

Let's see every choice:

A. A neutrally-charged carbon atom contains 6 positively-charged protons and 6 negatively-charged electrons. CORRECT

        6 positively'charged protons ⇒ charge +6

        6 negatively charged electrons ⇒ charge -6

        Total charge = +6 + (-6) = 0

        The result is that the atom has a zero net charge.

     

B. The average temperature in Cleveland, Ohio in December is 38°F. On a particularly cold day last year, the temperature change was −38°F from the previous day. CORRECT

       Temperature of a day is 38° F

        Change of temperature was - 38° F

        Resulting temperature: 38° F + ( -38° F) = 0

C. A model rocket flies 50 meters into the air. It falls 50 meters before it hits the ground. CORRECT

      50  meters upward ⇒ +50 m

       50 meters downward ⇒ -50 m

       Final altitude = +50 m + (-50 m) = 0

D. The price of gold is $3.00 per ounce less than it was yesterday. WRONG

        Price of yesterday : x

        Price of today: x - 3.00

        This is not the application of the additive inverse property.

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