Question

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.

Answer 1

Answer:

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

• 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

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

• D. 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.