1. Circle the given unit.
2. Count the number of blocks to the desired unit.
3. Move the decimal point that many places in the same direction.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
kilo- & hecto- & deka- & unit & deci- & centi- & milli- \\
\hline
1,000 & 100 & 10 & 1 & 0.1 & 0.01 & 0.001 \\
\hline
\end{tabular}

How can Marco find how many dekagrams are in 77 centigrams?

Marco can:

1. Circle the centigrams.
2. Count the number of blocks to dekagrams.
3. Move the decimal point the corresponding number of places.

There are \_\_\_ dekagrams in 77 centigrams.



Answer :

Let's follow the steps to help Marco find how many dekagrams are in 77 centigrams.

1. Circle the given unit: In this case, the given unit is centigrams. So, we circle "centi-" in the table.
2. Count the number of blocks to the desired unit: We want to convert from centigrams to dekagrams. Counting the blocks from "centi-" to "deka-" in the table:
- From centi- to unit (1 block)
- From unit to deka- (1 block)

So that's a total of 2 blocks.
3. Move the decimal point that many places in the same direction: Since we are moving from centigrams to dekagrams, which is to the left on our table, we move the decimal point in our given number 2 places to the left.

Starting with 77 centigrams:
- Moving the decimal point 2 places to the left gives us [tex]\(0.77\)[/tex].

Therefore, there are [tex]\(0.077\)[/tex] dekagrams in 77 centigrams.

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