Question

In the following exercises, solve.

On January 15, the high temperature in Anaheim, California, was $84°$. That same day, the high temperature in Embarrass, Minnesota, was $-12°$. What was the difference between the temperature in Anaheim and the temperature in Embarrass?

Short answer

The difference between the temperature in Anaheim and the temperature in Embarrass is $96°$.

Step-by-step solution

Step 1. Given Information. 

The high temperature in Anaheim, California is given to be $84°$.

The high temperature in Embarrass, Minnesota is given to be $-12°$.

Step 2. Identify the quantity asked and write a phrase. 

It is required to calculate the difference between the high temperature in Anaheim, California, and the high temperature in Embarrass, Minnesota.

The high temperature in Anaheim, California, was $84°$and the high temperature in Embarrass, Minnesota was $-12°$.

So, it is required to calculate the difference of 84 and $-12$.

Step 3. Translate the phrase into a mathematical expression. 

The phrase "the difference of $a$and $b$" indicates the subtraction operation and is written as $a-b$.

Write the phrase "the difference of 84 and $-12$" as a mathematical expression.

$84-\left(-12\right)$

Step 4. Calculation. 

Rewrite the obtained expression using the subtraction property, $a-b=a+\left(-b\right)$.

$84-\left(-12\right)=84+12$

Add 84 and 12.

$84+12=96$

Step 5. Conclusion.

The difference between the temperature in Anaheim and the temperature in Embarrass is $96°$.