Example
Translate each phrase into an expression with integers:
- The opposite of positive fourteen
- The opposite of −11
- Negative sixteen
- Two minus negative seven
Solution:
- The opposite of fourteen is −14
- The opposite of −11 is −(−11)
- Negative sixteen is −16
- Two minus negative seven is 2−(−7)
As we saw at the start of this section, negative numbers are needed to describe many real-world situations. We’ll look at some more applications of negative numbers in the next example.
example
Translate into an expression with integers:
- The temperature is 12degrees Fahrenheit below zero.
- The football team had a gain of 3yards.
- The elevation of the Dead Sea is 1,302feet below sea level.
- A checking account is overdrawn by $40
Answer:
Solution
Look for key phrases in each sentence. Then look for words that indicate negative signs. Don’t forget to include units of measurement described in the sentence.
1. |
The temperature is 12degrees Fahrenheit below zero. |
Below zero tells us that 12 is a negative number. |
−12 F |
2. |
The football team had a gain of 3 yards. |
A gain tells us that 3 is a positive number. |
3 yards |
3. |
The elevation of the Dead Sea is 1,302 feet below sea level. |
Below sea level tells us that 1,302 is a negative number. |
−1,302 feet |
4. |
A checking account is overdrawn by $40. |
Overdrawn tells us that 40 is a negative number. |
-$40 |