Metric Measure of Weight
Measurement of the heaviness of a person or thing is called weight. The standard unit of weight is kilogram. We commonly use grams and kilograms to measure weight. Milligram, centigram, decigram are smaller unit used to measure lighter things, gram is the basic unit of weight, whereas units like decagram, hectogram and kilogram are used to measure heavier things. All these units are related to each other.
When we move from one metric unit to another to the right in the above metric chart, the value of metric unit becomes ten times smaller i.e. one tenth and when we move from one metric unit to another to the left in the metric chart, the value of metric unit becomes ten times bigger.
We consider gram as the basic unit of weight.
1 Decagram (dag) = 10 times gram
1 Hectogram (hg) = 100 times gram
1 Kilogram (kg) = 1000 times gram
1 Decigram (dg) = 1/10 of gram
1 centigram (cg) = 1/100 of gram
1 milligram (mg) = 1/1000 of gram
Conversion of measures from higher to lower units
We always multiply when we change higher unit to lower unit.
Example 1: Change 9kg into grams
1kg =1000g
Therefore, 9 x 1000g = 9000g
Example 2: Change 5g into centigrams
1g = 100cg
Therefore, 5 x 100cg = 500cg
Conversion of measures from lower to higher units
We always divide when we change lower unit to higher unit.
Example 1: Change 4000g to kilogram
1000g = 1kg
Therefore, 4000 ÷ 1000 = 4kg
Addition and Subtraction
Step1: Write the units on the top.
Step2: Write the numbers in proper place below the units. Write zero in empty place.
Example 1: Add 41kg 36g and 24kg 3g
Example 2: Subtract 10kg 39g from 14kg 39g
Multiplication involving units of measurement
Example 1: Multiply 44 g 11cg by 5
Division involving units of measurement
Example 1: Divide 84g 40cg by 4