How many grams are in 1 hectogram?

[tex]\[ 1 \, hg = \, ? \, g \][/tex]

A. 1000 g or [tex]\(10^3 \, g\)[/tex]
B. [tex]\( \frac{1}{100} \, g \)[/tex] or [tex]\(10^{-2} \, g\)[/tex]
C. 100 g or [tex]\(10^2 \, g\)[/tex]
D. [tex]\( \frac{1}{10} \, g \)[/tex] or [tex]\(10^{-1} \, g\)[/tex]



Answer :

To solve the problem of converting hectograms to grams, it's important to understand the relationship between these units of measurement.

Firstly, both hectograms and grams are units of mass, with hectograms being a larger unit and grams being a smaller one. This means that one hectogram will contain multiple grams.

The prefix "hecto-" in the metric system refers to a hundredfold increase or multiplication by 100. Therefore:

- 1 hectogram (hg) is equal to 100 grams (g).

So, when asked how many grams are in 1 hectogram, the correct conversion is:

[tex]\[ 1 \text{ hg} = 100 \text{ g} \][/tex]

Thus, the correct answer is 100 grams, or [tex]\( 10^2 \)[/tex] grams.