Class 3 Maths

Measurement of Length – Class 3

We use standard units to measure length. The standard unit for measuring length are centimetre (cm), metre (m) and kilometre (km). We use these measurements depending on how large or small the length or distance is. For measuring large distance we use kilometre and for measuring small distance we use metre and centimetre. This maths chapter – Measurement of Length is important for students studying in class 3. Lets begin.

Let’s see relation between centimetre (cm), metre (m) and kilometre (km).

1 metre = 100 centimetres OR 1 m = 100 cm
1 kilometre = 1000 metres OR 1 km = 1000 m

Conversion of length

Let’s learn how to convert metres (m) into centimetres (cm).
We know that 1 m = 100 cm.
(1) To convert metres into centimetres, multiply the metres by 100.
(2) To convert metres and centimetres into centimetres, multiply metres by 100 and add the centimetres.

Examples

Convert 15 metres into centimetres.
1 m = 100 cm
Therefore, 15 m = 15 x 100 cm = 1500 cm
15 m = 1500 cm.

Convert 15 metres 25 centimetres into centimetres.
Again, 1 m = 100 cm
Therefore, 15 m = 15 x 100 cm = 1500 cm
15 m = 1500 cm
Therefore, 15 m 25 cm = 1500 cm + 25 cm = 1525 cm.

Exercise 1: Convert into centimetres.

  1. 10 m
    10 m = 10 x 100 cm = 1000 cm
    So, 10 m = 1000 cm

  2. 25 m
    25 m = 25 x 100 cm = 2500 cm
    So, 25 m = 2500 cm

  3. 63 m
    63 m = 63 x 100 cm = 6300 cm
    So, 63 m = 6300 cm

  4. 110 m
    110 m = 110 x 100 cm = 11000 cm
    So, 110 m = 11000 cm

Exercise 2: Convert into centimetres.

  1. 4 m 25 cm
    4 m = 4 x 100 cm = 400 cm
    So, 4 m 25 cm = 400 cm + 25 cm = 425 cm

  2. 11 m 75 cm
    11 m = 11 x 100 cm = 1100 cm
    So, 11 m 75 cm = 1100 cm + 75 cm = 1175 cm

  3. 25 m 33 cm
    25 m = 25 x 100 cm = 2500 cm
    So, 25 m 33 cm = 2500 cm + 33 cm = 2533 cm

  4. 73 m 49 cm
    73 m = 73 x 100 cm = 7300 cm
    So, 73 m 49 cm = 7300 cm + 49 cm = 7349 cm

Let’s learn how to convert centimetres (cm) into metres (m).
We know that 100 cm = 1 m.
To convert centimetres into metres, divide the centimetres by 100.
The quotient is the metres and the remainder gives the centimetres.

Examples

  1. Convert 500 cm into m.
    Divide 500 by 100,
    500 cm ÷ 100 = 5
    Quotient = 5, Remainder = 0
    So, 500 cm = 5 m

  2. Convert 5275 cm into m.
    On dividing 5275 by 100, we get
    Quotient = 52, Remainder = 75
    So, 5275 cm = 52 m 75 cm

    Other method:

    5275 cm = 5200 cm + 75 cm
    We know that 5200 cm = 52 m
    So, 5275 cm = 52 m + 75 cm = 52 m 75 cm

Exercise 3: Convert into metres.

  1. 500 cm
    On dividing 500 by 100,
    Quotient = 5 and Remainder = 0
    So, 500 cm = 5 m

  2. 1200 cm
    On dividing 1200 by 100
    Quotient = 12 and Remainder = 0
    So, 1200 cm = 12 m

  3. 5400 cm
    On dividing 5400 by 100
    Quotient = 54 and Remainder = 0
    So, 5400 cm = 54 m

  4. 9000 cm
    On dividing 9000 by 100
    Quotient = 90 and Remainder = 0
    So, 9000 cm = 90 m

Exercise 4: Convert into metres.

  1. 5675 cm
    5675 cm = 5600 cm + 75 cm
    5600 cm = 56 m
    So, 5675 cm = 56 m + 75 cm = 56 m 75 cm

  2. 7009 cm
    7009 cm = 7000 cm + 9 cm
    7000 cm = 70 m
    So, 7009 cm = 70 m + 9 cm = 70 m 9 cm

  3. 8806 cm
    8806 cm = 8800 cm + 6 cm
    8800 cm = 88 m
    So, 8806 cm = 88 m + 6 cm = 88 m 6 cm

  4. 9060 cm
    9060 cm = 9000 cm + 60 cm
    9000 cm = 90 m
    So, 9060 cm = 90 m + 60 cm = 90 m 60 cm

Now, let’s learn how to convert kilometres (km) into metres (m).
We know that 1 kilometre (km) = 1000 metre (m).
(1) To convert kilometres into metres, multiply the kilometres by 1000.
(2) To convert kilometres and metres into metres, multiply kilometres by 1000 and add the metres.

Examples

Convert 15 km into m.
1 km = 1000 m
So, 15 km = 15 x 1000 m = 15000 m

Convert 9 km 500 m into m.
9 km = 9 x 1000 m = 9000 m
So, 9 km 500 m = 9000 m + 500 m = 9500 m

Exercise 5: Convert into metres.

  1. 10 km
    10 m = 10 x 1000 m = 10000 m
    So, 10 km = 10000 m

  2. 5 km
    5 km = 5 x 1000 m = 5000 m
    So, 5 km = 5000 m

  3. 37 km
    37 km = 37 x 1000 m = 37000 m
    So, 37 km = 37000 m

  4. 95 km
    95 km = 95 x 1000 m = 95000 m
    So, 95 km = 95000 m

Exercise 6: Convert into metres.

  1. 4 km 250 m
    4 km = 4 x 1000 m = 4000 m
    So, 4 km 250 m = 4000 m + 250 m = 4250 m

  2. 7 km 75 m
    7 km = 7 x 1000 m = 7000 m
    So, 7 km 75 m = 7000 m + 75 m = 7075 m

  3. 10 km 1 m
    10 km = 10 x 1000 m = 10000 m
    So, 10 km 1 m = 10000 m + 1 m = 10001 m

  4. 15 km 100 m
    15 km = 15 x 1000 m = 15000 m
    So, 15 km 100 m = 15000 m + 100 m = 15100 m

Let’s learn how to convert metres (m) into kilometres (km).
We know that 1000 m = 1 km.
To convert metres into kilometres, divide the metres by 1000.
The quotient is the kilometres and the remainder gives the metres.

Examples

  1. Convert 6000 m into km.
    Divide 6000 by 1000,
    6500 cm ÷ 1000 = 6
    Quotient = 6, Remainder = 0
    So, 6000 m = 6 km

  2. Convert 7275 m into km.
    On dividing 7275 by 1000, we get
    Quotient = 7, Remainder = 275
    So, 7275 m = 7 km 75 m

    Other method:

    7275 m = 7000 m + 275 m
    We know that 7000 m = 7 km
    So, 7275 cm = 7 km + 275 m = 7 km 275 m

Exercise 7: Convert into kilometres.

  1. 5000 m
    On dividing 5000 by 1000,
    Quotient = 5 and Remainder = 0
    So, 5000 m = 5 km

  2. 12000 m
    On dividing 12000 by 1000
    Quotient = 12 and Remainder = 0
    So, 12000 m = 12 km

Exercise 8: Convert into metres.

  1. 1200 m
    On dividing 1200 by 1000
    Quotient = 1 and Remainder = 200
    So, 1200 m = 1 km 200 m

  2. 3005 m
    On dividing 3005 by 1000
    Quotient = 3 and Remainder = 5
    So, 3005 m = 3 km 5 m

  3. 6470 m
    On dividing 6470 by 1000
    Quotient = 6 and Remainder = 470
    So, 6470 m = 6 km 470 m

  4. 9509 m
    On dividing 9509 by 1000
    Quotient = 9 and Remainder = 509
    So, 9509 cm = 9 km 509 m

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