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Chapter 5: Q64. (page 226)

Let a and b represent non zero integers. Find a rational number in the form ab so that -1.7<aband ab>-53. Explain how you found the number.

Short Answer

Expert verified

The rational number lying between -1.7and-53 is -3320.

Step by step solution

01

Step 1. Given information

The numbers are -1.7and-53.

02

Step 2. Calculation 

Let xandybe the two rational number such that x<y

Then, 12x+y is a rational number lying betweenxandy.

Let x=-1.7 and

y=-53=-1.6

Then, clearly

-1.7<-1.6x<y

Therefore, a rational number lying between xandy

12x+y=12-1.7+-53=-3320

Thus, the rational number lying between -1.7and-53 is -3320.

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