Question

Express the denominator of 23/20 in the form of 2n×5m and state whether the given fraction is terminating or non-terminating repeating decimal.​

Answer 1

Answer:

23//2×2××5.....it has terminating decimal as the prime factooriisation oofndenomiration is of the form 2m ×5n...

Step-by-step explanation:

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Answer 2

The given fraction 23/20 is a Terminating decimal number  

Given:

Fraction 23/20

To find:

State whether the given fraction is terminating or non-terminating repeating decimal.​

Solution:

Terminating decimal number  

• Terminating decimal number is a decimal number which have a finite number of digits after the decimal point.
• For example, 0.25, 2.335, 0.5 and so on  
• These are in the form of a rational number like, 9/2 = 4.5, 1/4 = 0.25 etc.

Note:

If p/q is a Rational number and n,m are non zero whole numbers, and if the product of prime factors of q or the denominator is in the form of $2^{n} 5^{m}$ then the Rational number p/q will be a Terminating decimal number  

Given fraction is 23/20

As we know 20 = 4 × 5  = 2²×5 = 2²×5¹

The denominator 20 is in the form of $2^{n} 5^{m}$

23/20 will be a Terminating decimal number  

Therefore,

The given fraction 23/20 is a Terminating decimal number  

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