Math, asked by seemap4140, 8 months ago

-39/160 is a terminated no.

Answers

Answered by AlluringNightingale
3

Answer:

Yes , -39/160 is terminating Rational number.

Note:

• Rational number : A number which can be written in the form of p/q where p and q are integers and q ≠ 0 is called Rational number.

• Rational number are characterized as characterized as :

1) Terminating

2) Non-terminating but repeating

( or Non-terminating but recurring )

• The rational number in its simplest form would be terminating if its denominator q can be written as 2^m × 5^n ( otherwise it will be Non-terminating but repeating ) .

Solution:

Here ,

The given rational number is -39/160

Clearly,

The given rational number -39/160 is in simplest form.

Now,

Denominator = 160 = 2^5 × 5^1

Clearly,

The denominator is of the form 2^m × 5^n

Where , m = 5 and n = 1 .

Hence,

-39/160 is terminating rational number.

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