Situations That Combine to Make Zero

Which situations result in quantities that combine to make 0? Select ALL that apply.

• Josh was given $10 as a gift and made a $10 purchase.

• The temperature rose 32 degrees by noon. By 10 PM, the temperature had dropped 32 degrees.

• Joselyn credited her customer's account with $42 and debited the account for $42 three days later.

• Akiyah withdrew $20 from her bank account on Monday and she withdrew an additional $20 from her bank account Tuesday.

• The vet discovered a dog had lost 3 pounds since his last visit. A month later, the same dog had lost 3 more pounds.

Select all the situations that describe a quantity and its opposite being combined to make 0

• person deposits $100 into their bank account and then withdraws $100.

• car drives 10 miles east and then 10 miles west.

• temperature increases by 15 degrees in the morning and decreases by 15 degrees in the evening.

• investor buys stocks worth $500 and then sells stocks worth $500

• hiker climbs 200 meters up a hill and then climbs another 100 meters.

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs. Does this situation represent additive inverses? Explain.

• Yes; The numbers combine to eight.

• Yes; The numbers combine to zero.

• No; The numbers are both represented by the same integer.

• No; The numbers cannot be added together.

What is the additive inverse of 9?

• 9

• 0

• -9

• 18

What is a zero pair? 

• Two negatives

• Two positives

• One negative, one positive

3 + - 4 - ⁻1

• 0

• ⁻8

• ⁻2

• 8

Which of the following situations would combine to make zero?

• Amy drives for three hours along an Interstate highway. She then drives for three hours along county highways.

• Julia took two math practice tests last month. She plans to take two more tests later this month.

• Manuel spent five hours exercising this weekend. He also spent five hours watching television.

• Chris walks four blocks west to the grocery store. After buying groceries, he walks four blocks east.

In which scenario is the total change zero? (Choose all that apply)

• Chris gave Cesar 6 bananas. Chris then took back all 6 bananas because Cesar made him mad.

• Bear ran up 4 front steps, then back down 4 steps because he saw a treat on the ground

• Jason road his bike 2 miles from home, realized he remembered his wallet, then biked to more 2 miles.

• I filled my glass of milk 1.5 cups then drank 1.5 cups... it was real good...

Which of the following situations combine to make zero?

• The temperature falls 10 degrees below zero and then rises 10 degrees F

• A friend borrows $20 and promises to return double the amount.

• A start-up business has income equal to its expenses.

In which scenario is the total change zero?

• Brenda gave Mrs. Mehta 4 apples. Brenda gave Ms. Ramirez 5 apples

• Xavier road the elevator up 3 floors, then walked down 3 floors

• Jason road his bike 2 miles from home, realized he forgot his wallet, then biked back home 2 miles.

• The temperature outside was 50 degrees. The temperature rose 50 degrees throughout the day