Mind Maps

Class IV - maths: Metric measuresOne Word Answer Questions:
Q) Convert 8 Km into metres ?
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Q) Convert 9 Km 435 m into metres ?
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Q) Convert 7 m into centimetres ?
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Q) Convert 17 m 76 m into centimetres ?
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Q) Convert 8 Kg into grams ?
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Q) Convert 5000 g into Kilograms ?
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Q) Convert 3 cm 6 mm into millimetres ?
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Q) Convert 300 mm into centimetres ?
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Q) 1 Kilogram=____________grams
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Q) 1000 metres (m) = 1 ___________
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Short Answer Questions:
Q) Convert 4mm into Centimetres?
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Q) 500 cm=______________m
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Q) Short form of Kilometer is_________
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Q) 3 m=____________cm
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Q) 10 millimetres(mm) =_________centimetre
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Q) 5km 385m=_________m
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Q) convert 5km into m?
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Q) 100 centimetres (cm) = ___________
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Q) How many cm are there in 5 m?
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Long Answer Questions:
Q) The total distance to be covered was 760 km.The car had a breakdown after 500 Km 150 m. How much distance is left to be covered?
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Q) Mounika bought 25 L 250 mL milk in the first week and 16 L 175 mL in the second week of a month. How much milk did she buy in two weeks ?
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Q) Vijaya bought 5 Kg 450 g tomatoes; 6kg 650 g onions; and 7 Kg 125 g potatoes.What is the total weight of her vegetabless?
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Q) The cost of 5 kg potatoes is Rs 60,so find the cost of 550 g of potatoes ?
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Q) Find the sum of 65 m 445 cm ; 56 m 95 cm; and 14 m 218 cm ?
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Q) Find the sum of 66 km 745m and 54km 55m?
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Q) Convert 2845 m into Kilometres?
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Q) Add 54 Km 275 m 92cm,76Km 809 m 65 cm,5 Km 78 m 9 cm?
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Q) Find the sum of 35 L 650 mL; 42 L 425mL; and 65 L 250mL?
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Metric Measurements

The Metric Measures

• Measures of length, weight and capacity were calculated in a different manner till the metric measures were introduced.
• The metric system of measurement is that starting from the smallest; each higher unit is 10 times bigger.

Take a look at the metric measures.

Commonly Used Units of Measure

• Length:Millimetres, centimetres, metres and kilometres.
• Weight:Grams and Kilograms.
• Capacity: Millimetres and Litres.

Conversions of Length

Conversions of Higher Units of Length to Smaller Units

To convert a higher unit of length to a smaller unit, we multiply:
Example 1: Convert the following into metres.

• 7 km
• 5km 385m

Solution: We know that, 1km = 1000m. So,

• 7 km = 7 ×1000m = 7000m.
• 5 km 385m
  = 5 ×1000m + 385m
  = 5000m + 385m
  = 5385m.

Example 2: Convert the following into centimetres.

• 9 m
• 4m 55cm

Solution: We know that, 1m = 100cm, so,

• 9m = 9 ×100 = 900cm
• 4m 55cm
  = 4 ×100cm + 55cm
  = 400cm + 55cm
  =455cm.

Example 3: Convert the following into millimetres.

• 7cm
• 6cm 9mm

Solution: We know that, 1cm = 10mm, so

• 7cm = 7 ×10mm
= 70mm
• 6cm 9mm
  =6 ×10mm + 9mm
  =60mm + 9mm
  =69mm.
Conversions of Smaller Units of Length to Higher Units

To convert a smaller unit of measure to a higher unit, we divide.

Example 1: Convert the following into centimetres.

• 40mm
• 65mm

Solution: We know that, 10mm = 1cm or 1mm = 1/10 cm, so,


• 40mm = (40 ÷ 10) cm = 4cm
• 65mm = 60mm + 5mm = 6cm 5mm.

Example 2: Convert the following into metres.

• 900 cm
• 385cm

Solution: We know that, 1 cm = 1/100 m, so,


• 900 cm = (900 ÷ 100)m = 9m
• 385cm = (385 ÷ 100)m = 3m 85cm.

Example 3: Convert the following into kilometres.

• 8000m
• 2845m

Solution: We know that, 1m = 1/1000km, so,


• 8000m = (8000 ÷ 1000) km = 8km
• 2045m = (2045 ÷ 1000) km = 2km 45m.

Addition and Subtraction of Metric Units of length

Write the measures of length correctly.
Write 3 digits under m, 2 digits under cm, and 1 digit under mm before adding.

Example 1: Find the sum of 66 km 745m; 14km 55m; and 10km 400m.
Solution:

• Write in columns under the correct units.
• Add metres. We will get 1200 m.
• Convert metres into kilometres
1200 m ÷ 1000 = 1km 200m

• Add kilometres.

• Answer = 91km 200m.

Example 2: Find the difference between 56m 23cm > 25m 15cm.
Solution:

• Here, 56m 23cm > 25m 15cm
So, we have to subtract 25m 15cm from 56m 23cm

• Write in correct columns
• Regroup metres into m and cm and subtract column wise.

• Answer = 31m 8cm.

Conversions of Mass
Conversions of Units of Measure of Mass(weight)

In everyday life, we use two measures of mass (weight) - Kilograms and Grams.
     1kg = 1000g

• To convert higher units of mass into smaller units, we multiply
  Look at these examples

• 8 kg = (8 ×1000)g = 8000g
• 10 kg 125g = (10 ×1000)g + 125g = 10000g + 125g = 10125g.
• 5kg 320g = 5320g.

• To convert smaller units of mass into bigger units, we divide

Look at these examples

• 9000 g = (9000 ÷ 1000) kg = 9kg
• 5685 g = (5685 ÷ 1000) kg = 5 kg 685g
• 12984 g = 12 kg 984g.
Addition and Subtraction of Metric Units of Mass

Example 1: Find the sum of 450 kg 348 g; 745 kg 28g; and 235 kg 415g.
Solution:

• Write in column form
• Write 28 g as 028g.
• Add grams
• Add kilograms.

• Answer = 1430 kg 791 g.

Example 2: Subtract 325 kg 120 g from 450 kg.
Solution:

• Write the given quantities under suitable columns
• Write 000 under grams column with 450
• Since 120 > 0, borrow 1 kg (1000 g) from 450 kg.
• Subtract grams from grams
• Subtract kilograms from kilograms.

• Answer = 124 kg 880 g.

Conversions of Capacity
Conversions of Units of Measure of Capacity

The commonly used measures of capacity are millimetres and litres.
The litre is the standard unit for measuring the amount of a liquid.
   1 litre = 1000 millimetres.

• To convert the higher unit of capacity to smaller unit, we multiply,
Look at these examples:

• 4 L = 4 ×1000 mL = 4000 mL
• 5 L 385 mL = 5 L + 385 mL = (5 ×1000)mL + 385 mL = 5385 mL
• 2 L 022mL = 2 L + 22 mL = (2 ×1000)mL + 22 mL = 2022mL.

• To convert the smaller unit of capacity into higher unit, we divide.
  Look at these examples:

• 3000 mL = (3000 ÷ 1000) L = 3 L
• 2300 mL = (2300 ÷ 1000) L = 2 L 300 mL
• 4335 mL = (4335 ÷ 1000) L = 4 L 335 mL.
Addition and Subtraction of Metric Units of Capacity

Example 1: Find the sum of 35 L 650 mL; 42 L 425mL; and 65 L 25mL.
Solution:

• Write in vertical form under suitable columns
• Write 25 mL as 025 mL
• Add millilitres.
  650 mL + 425 mL + 25 mL = 1100 mL.
  Convert mL into L and mL.
  So, 1100 mL = 1 L 100 mL
• Add litres
  35 L + 42 L + 65 L + 1 L (carried over) =

• Answer = 143 L 100 mL.

Example 2: Subtract 35 L 15mL from 50 L.
Solution:

• Write in vertical form under suitable columns
• Write millilitres as a 3-digit number
• We have, 15mL > 0mL. So, borrow 1L (1000 mL) from 50 L, leaving behind 49
• Subtract millilitres
• Subtract litres.