This worksheet challenges students to apply decimal operations to real-world scenarios like calculating gas prices and managing a bank account.

Let's solve each problem step by step.

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Problem i:

Question: If a 20-foot piece of electrical tape has four pieces that are each 4.25 feet cut from it, what is the new length of the tape?

Solution:
1. Calculate the total length of the four pieces cut from the tape:
\[
4 \times 4.25 = 17 \text{ feet}
\]
2. Subtract the total length of the cut pieces from the original length of the tape:
\[
20 - 17 = 3 \text{ feet}
\]

Answer: The new length of the tape is \(\boxed{3}\) feet.

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Problem ii:

Question: Bill paid \$22.44 for four gallons of gas. How much was each gallon of gas?

Solution:
1. Divide the total cost by the number of gallons to find the cost per gallon:
\[
\frac{22.44}{4} = 5.61
\]

Answer: Each gallon of gas costs \(\boxed{5.61}\) dollars.

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Problem iii:

Question: Brother has \$945.82 in his checking account. How much does he have in her account after he makes a deposit of \$75.75 and a withdrawal of \$265.40?

Solution:
1. Start with the initial amount in the account:
\[
945.82
\]
2. Add the deposit:
\[
945.82 + 75.75 = 1021.57
\]
3. Subtract the withdrawal:
\[
1021.57 - 265.40 = 756.17
\]

Answer: After the deposit and withdrawal, Brother has \(\boxed{756.17}\) dollars in his account.

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Problem iv:

Question: Angela bought 12 cups, 6 plates, and 6 bowls at the store. The cups cost \$2.25 apiece, the plates cost \$5.75 apiece, and the bowls cost \$3.00 apiece. How much does Angela have to pay for all of them?

Solution:
1. Calculate the total cost of the cups:
\[
12 \times 2.25 = 27.00
\]
2. Calculate the total cost of the plates:
\[
6 \times 5.75 = 34.50
\]
3. Calculate the total cost of the bowls:
\[
6 \times 3.00 = 18.00
\]
4. Add the costs of the cups, plates, and bowls to find the total amount Angela has to pay:
\[
27.00 + 34.50 + 18.00 = 79.50
\]

Answer: Angela has to pay \(\boxed{79.50}\) dollars.

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Final Answers:

1. \(\boxed{3}\)
2. \(\boxed{5.61}\)
3. \(\boxed{756.17}\)
4. \(\boxed{79.50}\)