Question

Read each real-world description. Write the integer that represents the opposite of the opposite. Show your work to support your answer.

a. A temperature rise of 15 degrees Fahrenheit
b. A gain of 55 yards
c. A loss of 10 pounds
d. A withdrawal of $2,000

Answer 1

(a)
`+15`

(b)
`+55`

(c)
`-10`

(d)
`-\$2,000`

Explanation:

We are asked to read the given real-world description. We are asked to write the integer that represents the opposite of the opposite for given description.

We know that opposite of a number is negative of that number, so opposite of opposite would be negative of negative of the given number. Therefore, opposite of the opposite would be same number.

a. A temperature rise of 15 degrees Fahrenheit.

The word "rise" is used in the given situation, which is
`15`.

Opposite of
`15`:
`-15`

Opposite of opposite
`-15`:
`-(-15)=15`

Therefore, it will be
`15`.

b. A gain of 55 yards.

The word "gain" is used in the given situation, which is
`55`.

Opposite of
`55`:
`-55`

Opposite of opposite
`-55`:
`-(-55)=55`

c. A loss of 10 pounds.

The word "loss" is used in the given situation, which is
`-10`.

Opposite of
`-10`:
`-(-10)=10`

Opposite of opposite
`10`:
`-(10)=-10`

c. A withdrawal of $2,000.

The word "withdrawal" is used in the given situation, which is
`-2,000`.

Opposite of
`-2000`:
`-(-2000)=2000`

Opposite of opposite
`2000`:
`-(2000)=-2000`

Answer 2

answered

Explanation:

The opposite of the opposite is the same . Its like multiplying a same number twice by negative of unity. Suppose there is a number 5 and if we multiply 5 by -1 twice we would again get 5.

A) +15° (increase in temperature)

b) +55 (increase in length)

c)-10 (decrease in amount)

d) -2000 ( withdrawal)

c)