Question

Find the change in temperature.

$\text{From 32}{}^{\circ }\text{F to}-10{}^{\circ }\text{F}$.

Short answer

The change in temperature is $-42{}^{\circ } \text{F}$.

Step-by-step solution

Step-1 – Apply the concept subtraction

To add two numbers with similar signs, add their absolute values and keep the similar sign with the resulting number.

To add two numbers with opposite signs, subtract the absolute value of smaller number from absolute value of larger number and keep the sign of larger number with the resulting number.

Step-2 – Change between two numbers

To determine the change from first number to the second number, subtract the first number from second number.

Step-3 – Find the change in temperature

To find the change in temperature from $32{}^{\circ } \text{F}$to $-10{}^{\circ } \text{F}$, subtract the initial temperature $32{}^{\circ } \text{F}$ from the final temperature $-10{}^{\circ } \text{F}$and solve further as shown below

$\begin{array}{c}-10-32=-10+\left(-32\right)\\ =-42\end{array}$

Thus, the change in temperature is $-42{}^{\circ } \text{F}$.