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Write the following in decimal form and say what kind of decimal expansion has: 418 - Mathematics

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Question

Write the following in decimal form and say what kind of decimal expansion has:

`4 1/8`

Sum

Solution

We have, `4 1/8 = 33/8`

Dividing 33 by 8, we get

`8)overline(33.000)(4.125`
    -32    
     10
     -8    
     20
    -16   
     40
    -40   
      0

∴ `4 1/8 = 4.125`

Thus, the decimal expansion of `4 1/8` is terminating.

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Chapter 1: Number Systems - Exercise 1.3 [Page 14]

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NCERT Mathematics [English] Class 9
Chapter 1 Number Systems
Exercise 1.3 | Q 1. (iii) | Page 14

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