The product of 2 rational numbers is -15. If one of the numbers is -16/5, FInd the other number
Answers
Answer- The above question is from the chapter 'Rational Numbers'.
Rational Numbers- Numbers which can be written in the form of p/q where p,q are integers and q ≠ 0.
Decimal expansion of rational numbers is always terminating or non-terminating but repeating.
Example: 0, 2/3, -4/7, 2.1212..., etc.
Irrational Numbers- Numbers which can't be written in the form of p/q.
Decimal expansion of irrational numbers is always non-terminating non- repeating.
Example: π, √3, √7, 2.343443444..., etc.
Question: The product of 2 rational numbers is -15. If one of the numbers is -16/5, Find the other number.
Solution: Let the required number be x.
x × -16/5 = -15
Transposing -16/5 to R.H.S., we get
x = -15 ÷ -16/5
Taking reciprocal of -16/5, we get
x = -15 × 5/-16
- and - will get cancelled.
x = (15 × 5)/16
x = 75/16
∴ Required number = 75/16
Then,
-16/5 * x = -15
x = -15 /-5 * 16
x = 3 * 16
x = 48
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