Calculate the length of vector
Calculate the length of vector

Length

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In the following table of Length, all the units are arranged from small units to Big units.
Millimeter is the smallest unit and Kilometer is the biggest unit.

Unit
Value
1 Millimeter
1/1000 meter
1 Centimeter
1/100 meter
1 Decimeter
1/10 meter
1 Meter
Basic unit
1 Decameter
10 Kilometer
1 Hectometer
100 meter
1 Kilometer
1000 meter

S B D
Small → Big → ÷

OR

B S M
Big → Small → X


Example:-
1) Convert 2520 m in km.
Solution :Here, 2520 m is in smaller unit as compare to km>
∴ From above S(Small)→ B(Big) →÷
⇒ from the table 1m = 0.001 km
∴ 2520 m = 2520 / 1000 = 2.52 km
_______________________________________________________________
2) Convert 3 m to cm.
Solution : Here meter is bigger unit than cm
Big(B) → Small(S) → X
∴ 1m = 100 cm
⇒ 3 m = 3 x 100 = 300 cm
________________________________________________________________
3) Convert 125 mm to cm.
Solution : Here millimeter(mm) is smaller unit than cm
Small(S) → Big(B) → ÷ (division)
∴ 1cm = 10 mm
⇒ 125 mm = 125 ÷ 10 = 12.5 cm
________________________________________________________________
4) A grasshopper which can go 25 cm with one hop would have gone how many meters in 75 hops?
Solution: 75 x 25 = 1875 cm would have been covered.
As we want the answer in meter and cm is smaller unit than meter.
So S → B → ÷
∴ 1875 cm = 1875 / 100 = 18.75m
The grasshopper would have gone 18.75 m.
________________________________________________________________
5) If each ant is 8 mm in length, how long is the line in cm if in a line there are 11 ants?
Solution : 11 x 8 = 88 mm long.
millimeter is smaller unit than centimeter.
So S → B → ÷
∴ 88 mm = 88 /10 = 0.8 cm

Measurements
Length
Weight
Capacity

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