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学習ガイド > Prealgebra

Translating Word Phrases into Expressions With Integers

Learning Outcomes

  • Translate word phrases that contain negative numbers, or opposites
  Now we can translate word phrases into expressions with integers. Look for words that indicate a negative sign. For example, the word negative in "negative twenty" indicates 20-20. So does the word opposite in "the opposite of 20."20\text{."}

Example

Translate each phrase into an expression with integers:
  1. The opposite of positive fourteen
  2. The opposite of 11-11
  3. Negative sixteen
  4. Two minus negative seven
Solution:
  1. The opposite of fourteen is 14-14
  2. The opposite of −11 is (11)-\left(-11\right)
  3. Negative sixteen is 16-16
  4. Two minus negative seven is 2(7)2-\left(-7\right)
    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:
  1. The temperature is 12degrees Fahrenheit12\text{degrees Fahrenheit} below zero.
  2. The football team had a gain of 3yards.3\text{yards.}
  3. The elevation of the Dead Sea is 1,302feet1,302\text{feet} below sea level.
  4. 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 12degrees12 degrees Fahrenheit below zero.
Below zero tells us that 1212 is a negative number. 12-12 F
2. The football team had a gain of 33 yards.
A gain tells us that 33 is a positive number. 33 yards
3. The elevation of the Dead Sea is 1,3021,302 feet below sea level.
Below sea level tells us that 1,3021,302 is a negative number. 1,302-1,302 feet
4. A checking account is overdrawn by $40.
Overdrawn tells us that 4040 is a negative number. -$40

     

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