A case of tomato cans weighs 563 dekagrams. A case of soup cans weighs 458 dekagrams. How much do the two cases weigh together in decigrams? 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
1,021 decigrams
10,210 decigrams
102,100 decigrams
1,021,000 decigrams

Answer 1

To find the total weight of the two cases in decigrams, we first need to convert the weights from dekagrams to decigrams.

1 dekagram (dag) is equal to 100 decigrams (dg).

Now, let's convert the weights:

• For the tomato cans: \[ 563 \text{ dag} \times 100 \text{ dg/dag} = 56,300 \text{ dg} \]

• For the soup cans: \[ 458 \text{ dag} \times 100 \text{ dg/dag} = 45,800 \text{ dg} \]

Now, we add the two weights together:

\[ 56,300 \text{ dg} + 45,800 \text{ dg} = 102,100 \text{ dg} \]

Therefore, the total weight of the two cases together is 102,100 decigrams.