Question

A crate of bananas has a mass of 674.8 dekagrams. What is the mass of the crate of bananas in centigrams? Use the metric table to help answer the question.

Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001
0.6748 centigrams
6.748 centigrams
67,480 centigrams
674,800 centigrams

Answer 1

To convert the mass of the bananas from dekagrams to centigrams, we use the metric prefixes:

- 1 dekagram (dag) = 10 grams (g)
- 1 gram (g) = 100 centigrams (cg)

To convert 674.8 dekagrams to centigrams, we perform the following calculations:

1. Convert dekagrams to grams:
\[
674.8 \, \text{dag} \times 10 = 6748 \, \text{g}
\]

2. Convert grams to centigrams:
\[
6748 \, \text{g} \times 100 = 674800 \, \text{cg}
\]

Thus, the mass of the crate of bananas in centigrams is **674800 centigrams**.