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.

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.