Question

2. Convert 14 kg 969 g to:
A. hectograms B. decagrams​

Answer 1

Given,

14 kg 969 g.

To find,

Convert the given mass to:

A. Hectograms

B. Decagrams.

Solution,

To convert the given mass, first, we need to know what the hectogram and decagram mean.

So, a hectogram is a unit of mass equal to a hundred grams. It is denoted by hg. That is,

1 hg = 100 g.

⇒ $1g=\frac{1}{100} hg$

⇒ 1 g = 0.01 hg     ...(1)

A decagram is another unit of mass equal to 10 grams, denoted by dag. That is,

1 dag = 10 g.

⇒ $1g=\frac{1}{10} dag$

⇒ 1 g = 0.1 dag     ...(2)

Now, let's convert the given total mass into grams.

Since 1 kg = 1000 g,

⇒ 14 kg = 14000 g.

We have an additional 969 g. So, the total mass to be converted will be

= 14000 + 969

= 14969 g.

A. 14969 g to hectograms.

Using equation (1),

1 g = 0.01 hg

⇒ 14969 g = 14969×0.01 hg

⇒ 14969 g = 149.69 hg.

B. 14969 g to decagrams.

Using equation (2),

1 g = 0.1 dag

⇒ 14969 g = 14969×0.1 dag

⇒ 14969 g = 1496.9 dag.

Therefore, 14 kg 969 g in:

A. hectograms will be = 149.69 hg

B. decagrams will be = 1496.9 dag.