Question

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

Answer 1

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.

Answer 2

D & A for sure GL! hope this helps