Multiplication Problems 5.3C Answers worksheet with detailed solutions for math practice.

It looks like you've uploaded a worksheet titled "MULTIPLICATION PROBLEMS 5.3C ANSWERS" that contains several word problems involving multiplication (and one division problem disguised as a multiplication question). The answers are already provided, but I'll go through each problem step by step to explain the solution clearly and verify the correctness of the answers.

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Problem 1:

A camera is able to take photos at a rate of 12.4 frames per second. How many frames could the camera take in half a minute?

- Half a minute = 30 seconds
- Frames per second = 12.4
- Total frames = 12.4 × 30

✔ Calculation:
12.4 × 30 = (12 × 30) + (0.4 × 30) = 360 + 12 = 372 frames

✔️ Answer: 372 frames → ✔ Correct

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Problem 2:

Flame sells raffle tickets for $3.75 each. How many tickets does she need to sell to make $75?

- This is asking: How many times does $3.75 fit into $75?
- So, this is a division problem: 75 ÷ 3.75

✔ Calculation:
75 ÷ 3.75 = ?

Let’s simplify:
- Multiply numerator and denominator by 100 to eliminate decimals:
7500 ÷ 375 = 20

✔️ Answer: 20 tickets → ✔ Correct
> Note: The note says "Trick question – this was a division question" — yes, it's true! Even though it's on a "multiplication" sheet, it requires division.

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Problem 3:

There is 286 calories in a chocolate bar. How many calories in a pack of 12 bars?

- Calories per bar = 286
- Number of bars = 12
- Total calories = 286 × 12

✔ Calculation:
286 × 12 = (280 × 12) + (6 × 12) = 3360 + 72 = 3432 calories

✔️ Answer: 3432 calories → ✔ Correct

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Problem 4:

There is 8.12 mg of iron in a cup of Captain’s cereal. There are 9 cups in a packet. How much iron is in a packet?

- Iron per cup = 8.12 mg
- Cups per packet = 9
- Total iron = 8.12 × 9

✔ Calculation:
8.12 × 9 = (8 × 9) + (0.12 × 9) = 72 + 1.08 = 73.08 mg

✔️ Answer: 73.08 mg → ✔ Correct

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Problem 5:

There are about 28 grams in an ounce. The weight of a baseball is about 5.2 ounces. How many grams?

- Grams per ounce = 28
- Ounces = 5.2
- Total grams = 5.2 × 28

✔ Calculation:
5.2 × 28 = (5 × 28) + (0.2 × 28) = 140 + 5.6 = 145.6 grams

✔️ Answer: 145.6g → ✔ Correct

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Problem 6:

Newton runs 1.4 miles a day. How far will he have run in 12 weeks?

Wait — 12 weeks means 12 × 7 = 84 days.

But the answer given is: 1.4 × 12 = 16.8 miles, which implies they used 12 days, not 12 weeks.

✘ This is incorrect.

Let’s fix it:

- Daily distance = 1.4 miles
- Days in 12 weeks = 12 × 7 = 84 days
- Total distance = 1.4 × 84

✔ Calculation:
1.4 × 84 = (1 × 84) + (0.4 × 84) = 84 + 33.6 = 117.6 miles

🛑 Correct Answer: 117.6 miles
The provided answer (16.8 miles) assumes only 12 days — this is a mistake.

> ⚠️ Error in the original answer key.

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Problem 7:

Captain Salamander earns an average of $1.45 a day through his website. How much money will he make in July?

- July has 31 days
- Earnings per day = $1.45
- Total earnings = 1.45 × 31

✔ Calculation:
1.45 × 31 = (1 × 31) + (0.45 × 31) = 31 + 13.95 = $44.95

✔️ Answer: $44.95 → ✔ Correct

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Problem 8:

There is 5.19g of fat in a peanut butter cup. A packet contains 3 cups. Tyger eats two packets. How many grams of fat has he eaten?

- Fat per cup = 5.19 g
- Cups per packet = 3
- Packets eaten = 2
- Total cups = 3 × 2 = 6
- Total fat = 5.19 × 6

✔ Calculation:
5.19 × 6 = (5 × 6) + (0.19 × 6) = 30 + 1.14 = 31.14 g

✔️ Answer: 31.14g → ✔ Correct

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✔ Summary of Corrections:

| Problem | Given Answer | Correct? | Notes |
|--------|--------------|---------|-------|
| 1 | 372 frames | ✔ Yes | Correct |
| 2 | 20 tickets | ✔ Yes | Division trick — correct |
| 3 | 3432 calories | ✔ Yes | Correct |
| 4 | 73.08mg | ✔ Yes | Correct |
| 5 | 145.6g | ✔ Yes | Correct |
| 6 | 16.8 miles | ✘ No | Should be 117.6 miles (for 84 days) |
| 7 | $44.95 | ✔ Yes | Correct |
| 8 | 31.14g | ✔ Yes | Correct |

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🔍 Final Answer:

The only error is in Problem 6. The correct answer should be:

> 1.4 × 84 = 117.6 miles

Because 12 weeks = 84 days.

✔ All other answers are correct and well-explained.

Let me know if you'd like a corrected version of the worksheet!