Multiplication Problems Printable 5th Grade - Free Printable
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Step-by-step solution for: Multiplication Problems Printable 5th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Multiplication Problems Printable 5th Grade
You're right to be confused! The document you uploaded is titled "MULTIPLICATION PROBLEMS 5.3C ANSWERS", but it contains a mix of multiplication and division problems, and the solutions provided are not always correct or logically explained.
Let's go through each problem one by one, solve it correctly, and explain the reasoning.
---
> 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?
Correct Solution:
- Half a minute = 30 seconds.
- Frames per second = 12.4
- Total frames = 12.4 × 30 = 372 frames
✔ This answer is correct.
*Explanation:* Since the rate is given per second, multiply by the number of seconds (30) to get total frames.
---
> Flame sells raffle tickets for $3.75 each. How many tickets does she need to sell to make $75?
Correct Solution:
- Total money needed = $75
- Price per ticket = $3.75
- Number of tickets = 75 ÷ 3.75 = 20 tickets
✔ This answer is correct.
*Explanation:* This is indeed a division problem — you divide total money by price per ticket to find how many tickets must be sold. The note “* Trick question - this was a division question *” is accurate.
---
> There is 286 calories in a chocolate bar. How many calories in a pack of 12 bars?
Correct Solution:
- Calories per bar = 286
- Number of bars = 12
- Total calories = 286 × 12 = 3,432 calories
✔ This answer is correct.
*Explanation:* Multiply calories per bar by number of bars.
---
> There is 8.12mg of iron in a cup of Captain’s cereal. There are 9 cups in a packet. How much iron is in a packet?
Correct Solution:
- Iron per cup = 8.12 mg
- Cups per packet = 9
- Total iron = 8.12 × 9 = 73.08 mg
✔ This answer is correct.
*Explanation:* Multiply iron per cup by number of cups.
---
> There are about 28 grams in an ounce. The weight of a baseball is about 5.2 ounces. How many grams?
Correct Solution:
- Grams per ounce = 28
- Ounces = 5.2
- Total grams = 5.2 × 28 = 145.6 grams
✔ This answer is correct.
*Explanation:* Multiply ounces by grams per ounce.
---
> Newton runs 1.4 miles a day. How far will he have run in 12 weeks?
Incorrect Answer Provided: 1.4 × 12 = 16.8 miles
✘ This is WRONG.
Correct Solution:
- He runs 1.4 miles per day.
- 12 weeks = 12 × 7 = 84 days
- Total distance = 1.4 × 84 = 117.6 miles
*Explanation:* The mistake in the original answer is that it multiplies miles per day by weeks, ignoring that there are 7 days per week. You must convert weeks to days first.
---
> Captain Salamander earns an average of $1.45 a day through his website. How much money will he make in July?
Correct Solution:
- July has 31 days
- Earnings per day = $1.45
- Total earnings = 1.45 × 31 = $44.95
✔ This answer is correct.
*Explanation:* Multiply daily earnings by number of days in July.
---
> 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?
Correct Solution:
- Fat per cup = 5.19 g
- Cups per packet = 3
- Packets eaten = 2
- Total cups eaten = 3 × 2 = 6
- Total fat = 5.19 × 6 = 31.14 g
✔ This answer is correct.
*Explanation:* First find total cups (3 cups/packet × 2 packets = 6 cups), then multiply by fat per cup.
---
## ✔ Final Summary:
| Problem | Correct Answer | Notes |
|--------|----------------|-------|
| 1 | 372 frames | ✔️ Correct |
| 2 | 20 tickets | ✔️ Correct (division, not multiplication) |
| 3 | 3,432 calories | ✔️ Correct |
| 4 | 73.08 mg | ✔️ Correct |
| 5 | 145.6 g | ✔️ Correct |
| 6 | 117.6 miles | ✘ Original answer wrong — forgot to convert weeks to days |
| 7 | $44.95 | ✔️ Correct |
| 8 | 31.14 g | ✔️ Correct |
---
## 📌 Key Takeaway:
While most answers are correct, Problem 6 is incorrect because it fails to account for the number of days in a week. Always check units — "miles per day" × "weeks" doesn’t work unless you convert weeks to days.
The title “Multiplication Problems” is misleading since Problem 2 is division, and Problem 6 requires unit conversion before multiplication. Always read carefully!
Let me know if you’d like a printable corrected version or step-by-step worksheets for practice!
Let's go through each problem one by one, solve it correctly, and explain the reasoning.
---
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?
Correct Solution:
- Half a minute = 30 seconds.
- Frames per second = 12.4
- Total frames = 12.4 × 30 = 372 frames
✔ This answer is correct.
*Explanation:* Since the rate is given per second, multiply by the number of seconds (30) to get total frames.
---
Problem 2:
> Flame sells raffle tickets for $3.75 each. How many tickets does she need to sell to make $75?
Correct Solution:
- Total money needed = $75
- Price per ticket = $3.75
- Number of tickets = 75 ÷ 3.75 = 20 tickets
✔ This answer is correct.
*Explanation:* This is indeed a division problem — you divide total money by price per ticket to find how many tickets must be sold. The note “* Trick question - this was a division question *” is accurate.
---
Problem 3:
> There is 286 calories in a chocolate bar. How many calories in a pack of 12 bars?
Correct Solution:
- Calories per bar = 286
- Number of bars = 12
- Total calories = 286 × 12 = 3,432 calories
✔ This answer is correct.
*Explanation:* Multiply calories per bar by number of bars.
---
Problem 4:
> There is 8.12mg of iron in a cup of Captain’s cereal. There are 9 cups in a packet. How much iron is in a packet?
Correct Solution:
- Iron per cup = 8.12 mg
- Cups per packet = 9
- Total iron = 8.12 × 9 = 73.08 mg
✔ This answer is correct.
*Explanation:* Multiply iron per cup by number of cups.
---
Problem 5:
> There are about 28 grams in an ounce. The weight of a baseball is about 5.2 ounces. How many grams?
Correct Solution:
- Grams per ounce = 28
- Ounces = 5.2
- Total grams = 5.2 × 28 = 145.6 grams
✔ This answer is correct.
*Explanation:* Multiply ounces by grams per ounce.
---
Problem 6:
> Newton runs 1.4 miles a day. How far will he have run in 12 weeks?
Incorrect Answer Provided: 1.4 × 12 = 16.8 miles
✘ This is WRONG.
Correct Solution:
- He runs 1.4 miles per day.
- 12 weeks = 12 × 7 = 84 days
- Total distance = 1.4 × 84 = 117.6 miles
*Explanation:* The mistake in the original answer is that it multiplies miles per day by weeks, ignoring that there are 7 days per week. You must convert weeks to days first.
---
Problem 7:
> Captain Salamander earns an average of $1.45 a day through his website. How much money will he make in July?
Correct Solution:
- July has 31 days
- Earnings per day = $1.45
- Total earnings = 1.45 × 31 = $44.95
✔ This answer is correct.
*Explanation:* Multiply daily earnings by number of days in July.
---
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?
Correct Solution:
- Fat per cup = 5.19 g
- Cups per packet = 3
- Packets eaten = 2
- Total cups eaten = 3 × 2 = 6
- Total fat = 5.19 × 6 = 31.14 g
✔ This answer is correct.
*Explanation:* First find total cups (3 cups/packet × 2 packets = 6 cups), then multiply by fat per cup.
---
## ✔ Final Summary:
| Problem | Correct Answer | Notes |
|--------|----------------|-------|
| 1 | 372 frames | ✔️ Correct |
| 2 | 20 tickets | ✔️ Correct (division, not multiplication) |
| 3 | 3,432 calories | ✔️ Correct |
| 4 | 73.08 mg | ✔️ Correct |
| 5 | 145.6 g | ✔️ Correct |
| 6 | 117.6 miles | ✘ Original answer wrong — forgot to convert weeks to days |
| 7 | $44.95 | ✔️ Correct |
| 8 | 31.14 g | ✔️ Correct |
---
## 📌 Key Takeaway:
While most answers are correct, Problem 6 is incorrect because it fails to account for the number of days in a week. Always check units — "miles per day" × "weeks" doesn’t work unless you convert weeks to days.
The title “Multiplication Problems” is misleading since Problem 2 is division, and Problem 6 requires unit conversion before multiplication. Always read carefully!
Let me know if you’d like a printable corrected version or step-by-step worksheets for practice!
Parent Tip: Review the logic above to help your child master the concept of fifth grade word problems worksheet.