Answer
Verified
396.6k+ views
Hint: The problem can be solved using simple mathematics. Since the wire is broken into two pieces and the original and length of one of its pieces is given, we can simply calculate the length of this piece from the total length to get the length of another piece. So, simply subtraction would help us solve the question.
Complete step-by-step answer:
It is written in the question that the total length of the piece of wire is $\dfrac{7}{8}\,m$
Further it is broken into two pieces. The length of one piece is given as $\dfrac{1}{4}\,m$
Now we know that the sum of two pieces is equal to the total length of the actual wire.
$\dfrac{1}{4}\,m$$ + $Length of second piece$ = $$\dfrac{7}{8}\,m$
Length of second piece$ = \dfrac{7}{8} - \dfrac{1}{4} = \dfrac{{7 - 2}}{8} = \dfrac{5}{8}$
So Length of second piece is $\dfrac{5}{8}$ meters
Note: If we were told that the wire broke into two pieces, then we would have used a simple shortcut method.
Suppose the length of wire was $ = $$\dfrac{7}{8}\,m$ and it got broken into two equal pieces. So now the length of one of both the pieces can be obtained by dividing original length by $2$
So the length of each piece $ = \dfrac{7}{{8 \times 2}} = \dfrac{7}{{16}}$ meters.
Complete step-by-step answer:
It is written in the question that the total length of the piece of wire is $\dfrac{7}{8}\,m$
Further it is broken into two pieces. The length of one piece is given as $\dfrac{1}{4}\,m$
Now we know that the sum of two pieces is equal to the total length of the actual wire.
$\dfrac{1}{4}\,m$$ + $Length of second piece$ = $$\dfrac{7}{8}\,m$
Length of second piece$ = \dfrac{7}{8} - \dfrac{1}{4} = \dfrac{{7 - 2}}{8} = \dfrac{5}{8}$
So Length of second piece is $\dfrac{5}{8}$ meters
Note: If we were told that the wire broke into two pieces, then we would have used a simple shortcut method.
Suppose the length of wire was $ = $$\dfrac{7}{8}\,m$ and it got broken into two equal pieces. So now the length of one of both the pieces can be obtained by dividing original length by $2$
So the length of each piece $ = \dfrac{7}{{8 \times 2}} = \dfrac{7}{{16}}$ meters.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Write an application to the principal requesting five class 10 english CBSE
Difference Between Plant Cell and Animal Cell
a Tabulate the differences in the characteristics of class 12 chemistry CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
Discuss what these phrases mean to you A a yellow wood class 9 english CBSE
List some examples of Rabi and Kharif crops class 8 biology CBSE