Theory of Intelligence
9TH•Mathematics•Number Systems•1.3 Application of Real Numbers in Daily Life

1.3 Application of Real Numbers in Daily Life

Temperature conversions, profit and loss, and other real-world uses of real numbers.

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1.3 Application of Real Numbers in Daily Life

Real numbers are extremely useful in our daily life. That is probably one of the main reasons we learn how to count, add and subtract from a very young age. We cannot imagine life without numbers.

Real numbers are used in various fields including

  • Science and engineering (physics, mechanical systems, electrical circuits)
  • Medicine and Health
  • Environmental science (climate modeling, pollution monitoring etc.)
  • Computer science (algorithm design, data compression, graphic rendering)
  • Navigation and transportation (GPS, flight planning)
  • Surveying and architecture
  • Statistics

Example 9

The sum of two real numbers is 8, and their difference is 2. Find the numbers.

Solution: Let aa and bb be two real numbers then

a+b=8…(i)a−b=2…(ii)\begin{aligned} a + b &= 8 \quad \ldots(i) \\ a - b &= 2 \quad \ldots(ii) \end{aligned}

Add (i) and (ii)

2a=10⇒a=52a = 10 \Rightarrow a = 5

Put in (ii)

5−b=2⇒−b=2−5⇒−b=−3⇒b=35 - b = 2 \Rightarrow -b = 2 - 5 \Rightarrow -b = -3 \Rightarrow b = 3

So, 5 and 3 are the required real numbers.

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