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

Respuesta :

Answer:

answered

Step-by-step 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)

Answer:

(a) [tex]+15[/tex]

(b) [tex]+55[/tex]

(c) [tex]-10[/tex]

(d) [tex]-\$2,000[/tex]

Step-by-step 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 [tex]15[/tex].

Opposite of [tex]15[/tex]: [tex]-15[/tex]

Opposite of opposite [tex]-15[/tex]: [tex]-(-15)=15[/tex]

Therefore, it will be [tex]15[/tex].  

b. A gain of 55 yards.

The word "gain" is used in the given situation, which is [tex]55[/tex].

Opposite of [tex]55[/tex]: [tex]-55[/tex]

Opposite of opposite [tex]-55[/tex]: [tex]-(-55)=55[/tex]

c. A loss of 10 pounds.

The word "loss" is used in the given situation, which is [tex]-10[/tex].

Opposite of [tex]-10[/tex]: [tex]-(-10)=10[/tex]

Opposite of opposite [tex]10[/tex]: [tex]-(10)=-10[/tex]

c. A withdrawal of $2,000.

The word "withdrawal" is used in the given situation, which is [tex]-2,000[/tex].

Opposite of [tex]-2000[/tex]: [tex]-(-2000)=2000[/tex]

Opposite of opposite [tex]2000[/tex]: [tex]-(2000)=-2000[/tex]