Problem solving unit:

A unit of measurement is a definite magnitude of a Physical Quantity, defined and adopted by convention and/or by law, that is used as a standard for measurement of the same physical quantity. Any other value of the physical quantity can be expressed as a simple multiple of the unit of measurement.

For example, length is a physical quantity. The meter is a unit of length that represents a definite predetermined length. When we say 10 meters (or 10 m), we actually mean 10 times the definite predetermined length called "meter". (Source-Wikipedia)

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Problem solving unit-Example 1:


Convert 748.6 cm into meter.

Solution:

Here the conversion is from centimeter to meter. i.e. from lower unit to higher unit.

100cm = 1m.

Hence 748.6cm = (748.6/100) m

= 7.486 m (shifting the decimal two digits to the left)

The solution is 7.486 m.

Problem solving unit-Example 2:

Convert 50.1735 km into meter.

Solution:

Here the conversion is from higher to lower. Hence we have to shift the decimal point to the right.

1km = 1000 m

50.1735 km = 50.1735 × 1000 m

= 50173.5 m

The solution is 50173.5m

Problem solving unit-Example 3:

Convert 6m into millimeter.

Solution:

Note: Here we are converting the unit meter into millimeter. i.e. from higher unit to lower unit. So the operation should be multiplication.

1 m = 1000 mm

Hence 81 m = 81 × 1000 mm

= 81000 mm

The solution is 81000 mm

Problem solving unit-Example 4:


Express 8 kg 3 dag in grams

Solution:

1 kg = 1000 g

1 dag = 10 g

Hence 6 kg 5 dag = 6 × 1000 g + 5 × 10 g

= 6000 g + 50 g

= 6050 g

The solution is 6050g

Problem solving unit-Example 5:

Express 2769 g in kilograms.

Solution:

1000 g = 1 kg

Hence 3766 g = (3766/1000) kg

= 3.766 kg

The solution is 3.766 kg

Problem solving unit-Example 6:

Express 7402 kg into quintals.

Solution:

100 kg =1q

8402 kg =8402/100 q

= 84.02 q

The solution is 84.02 q

Problem solving unit-Example 7:

Convert 10.1835 km into meter.

Solution:

Here the conversion is from higher to lower. Hence we have to shift the decimal point to the right.

1km = 1000 m

10.1835 km = 10.1835 × 1000 m

= 10183.5 m

The solution is 10183.5 m