Which statements include two quantities in the real world that are additive inverses?

Select each correct answer.



An elevator goes up 10 stories and then goes down 10 stories.

Daniela opens a bank account and then deposits $200.

Juana drove 25 miles east and then drove 25 miles west.

A chlorine ion has 17 positively charged protons and 18 negatively charged electrons.

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Answer:- The first and third statement include two quantities in the real world that are additive inverses.

Explanation:-

  • Additive inverse of a number is a number such that when it added to the given number gives zero.

1. An elevator goes up 10 stories and then goes down 10 stories.  

⇒ The  position of elevator =10+(-10).....[∵ up and down are opposite directions, then their quantities are of opposite signs ]

    =10-10=0

⇒These quantities  are additive inverses.

2. Daniela opens a bank account and then deposits $200.

⇒ Amount in bank =0+ $200=$200≠0 not additive inverse.

3. Juana drove 25 miles east and then drove 25 miles west.

⇒ The position of Juana= 25+(-25)=25-25=0........[∵ east and west are opposite directions, then their quantities are of opposite signs ]

⇒These quantities are additive inverses.

4. A chlorine ion has 17 positively charged protons and 18 negatively charged electrons.

⇒ Resultant charge=+17+(-18)=17-18=-1≠0 , not additive inverse.

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