Question

Priya has \[15{\text{ }}cm\] long paper. She wants to cut it into \[2\] equal pieces. What should be the length of each piece in $mm$ ?

Answer 1

Hint: Equal pieces have equal lengths. For dividing a single part into two equal parts we have to divide the quantity by \[2\]. Conversion of units is done from centimetre to millimetre by multiplying the quantity by \[10\]. Here we have to divide the given length by \[2\] and then convert it into millimetre by multiplying it by \[10\].

Complete step by step answer:
We have given that Priya has \[15{\text{ }}cm\] long paper and she wants to cut it into two equal pieces.For this we have to divide the length of the paper by \[2\] to get the length of each piece of paper, and then convert it into millimetre by multiplying it by\[10\]. $cm$ is used as an abbreviation for centimetre and $mm$ is used as an abbreviation of millimetre.

Given length of paper \[ = {\text{ }}15{\text{ }}cm\]
As we have to divide it in two equal pieces so the length of each pieces of papers \[ = {\text{ }}\dfrac{{15}}{2}\,cm\]
On dividing we get the length of each pieces \[ = {\text{ }}7.5{\text{ }}cm\]
Now we have to convert this quantity into millimeters. We have \[1{\text{ }}cm = {\text{ }}10{\text{ }}mm\].Now, for converting \[7.5\,cm\] into millimetre we have to multiply it by \[10\]. Therefore by multiplying \[7.5\] by \[10\] we get the length of a piece of paper in millimetre. Which is done as
\[7.5{\text{ }}cm{\text{ }} = {\text{ }}7.5 \times 10\,mm = 75\,mm\]

Hence the length of each piece of paper obtained is \[75{\text{ }}mm\] after cutting \[15{\text{ }}cm\] long paper in two equal pieces.

Note:Centimetre is C.G.S. (Centimetre-Gram-Second) Unit of length for measurement of quantities. Millimetre is \[{1000^{th}}\] part of \[1\] metre. Centimetre is \[{100^{th}}\] part of \[1\] metre. For converting millimetre into metre we can also multiply the quantity by \[{10^{ - 3}}\], which is done for standard notation of the quantity for length.