Question

Express 35 mm in cm, m and km.

Answer 1

Hint: Here, we will use the relation $1mm = \dfrac{1}{{10}}cm$ and find the value of 35 mm in terms of unit cm.
Then, use the relation $1cm = \dfrac{1}{{100}}m$ , find the value of 35 cm in terms of unit m.
Finally, for the value of 35 mm in terms of unit km, use the relation $1m = \dfrac{1}{{1000}}km$ .

Complete step-by-step answer:
Here, we are asked to express 35 mm in cm, m and km.
We know that, $1mm = \dfrac{1}{{10}}cm$ .
So, $35mm = \dfrac{{35}}{{100}}cm = 3.5cm$ .
Now, we have 35 mm = 3.5 cm.
Also, $1cm = \dfrac{1}{{100}}m$ .
So, $3.5cm = \dfrac{{3.5}}{{100}}m = 0.035m = 3.5 \times {10^{ - 2}}m$ .
Now, for km, $1m = \dfrac{1}{{1000}}km$ .
So, $0.035m = \dfrac{{0.035}}{{1000}}km = 0.000035km = 3.5 \times {10^{ - 6}}km$ .
Thus, $35mm = 3.5cm = 3.5 \times {10^{ - 2}}m = 3.5 \times {10^{ - 6}}km$ .

Note: Alternatively, we can use the relation $1mm = \dfrac{1}{{1000}}m$ , to find the value of 35 mm in the terms of unit m i.e. meters. Also, we can use the relation $1mm = \dfrac{1}{{1000000}}km$ , to find the value of 35 mm in the terms of unit km i.e. kilometers.