Mathematics
Grade-8
Easy

Question

Identify the number that points to the letter V on the number line,

  1. 3 over 7
  2. negative 1 1 fifth
  3. negative 2 1 fourth
  4. 2 5 over 18

hintHint:

The horizontal straight lines known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.
We will use the concept of number line and fraction numbers here.

The correct answer is: negative 2 1 fourth


    Here we have given the number line where we have to find the point of V. We can see that the point V lies in between -3 and -2.
    Now lets look towards the option one by one and simplify it.
    T h e space f i r s t space n u m b e r space i s colon
2 5 over 18
S i m p l i f y i n g space i t comma space w e space g e t colon
fraction numerator left parenthesis 2 cross times 18 right parenthesis plus 5 over denominator 18 end fraction equals fraction numerator 36 plus 5 over denominator 18 end fraction equals 41 over 18
T h i s space n u m b e r space i s space g r e a t e r space t h a t space 2 space s o space i t space c a n n o t space l i e space i n space b e t w e e n space minus 3 space a n d space minus 2.
    T h e space s e c o n d space n u m b e r space i s colon
minus 1 1 fifth equals negative fraction numerator left parenthesis 1 cross times 5 right parenthesis plus 1 over denominator 5 end fraction equals negative fraction numerator 5 plus 1 over denominator 5 end fraction equals fraction numerator negative 6 over denominator 5 end fraction
T h i s space n u m b e r space i s space g r e a t e r space t h a n space minus 2 space s o space i t space c a n n o t space l i e space i n space b e t w e e n space minus 3 space a n d space minus 2.
    T h e space t h i r d space n u m b e r space i s colon
minus 2 1 fourth
S i m p l i f y i n g space i t comma space w e space g e t colon
minus fraction numerator left parenthesis 2 cross times 4 right parenthesis plus 1 over denominator 4 end fraction equals negative fraction numerator 8 plus 1 over denominator 4 end fraction equals fraction numerator negative 9 over denominator 4 end fraction
T h i s space n u m b e r space i s space a space g r e a t e r space t h a n space minus 3 space a n d space l e s s space t h a n space minus 2 space h e n c e space i t space l i e space i n space b e t w e e n space minus 3 space a n d space minus 2.
    T h e space t h i r d space n u m b e r space i s colon
3 over 7
T h i s space n u m b e r space i s space p o s i t i v e space s o space i t space c a n n o t space l i e space i n space b e t w e e n space minus 3 space a n d space minus 2.
    So out of all the given numbers, negative 2 1 fourth lies in between -3 and -2.

    Here we were given a number line and have to find which number lies on the point V. So after some simplifications, we found that the number negative 2 1 fourth lies in between -3 and -2.

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