Percent Worksheets - Free Printable
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Step-by-step solution for: Percent Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Percent Worksheets
Since I cannot view or process images directly, I rely on the text you’ve provided. You’ve pasted the content of a worksheet titled “Percent Error Word Problems”, and it contains 5 word problems asking for percent error, rounded to the nearest tenth.
Let’s solve each problem step by step using the percent error formula:
> Percent Error = |(Estimated Value – Actual Value)| / Actual Value × 100%
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> Lucy thought the 3 pounds of carrots she purchased would be enough for the week. However, the family ended up requiring 4 pounds of carrots that week. Calculate the percent error in Lucy’s estimate.
- Estimated = 3 lbs
- Actual = 4 lbs
- Percent Error = |3 – 4| / 4 × 100% = 1/4 × 100% = 25.0%
✔ Answer: 25.0%
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> Reddish estimated he would spend $25 on snacks and juices while at a cafe with his friends. He ended up spending $32. What was the percent error in Reddish’s estimate?
- Estimated = $25
- Actual = $32
- Percent Error = |25 – 32| / 32 × 100% = 7/32 × 100% ≈ 21.875% → 21.9%
✔ Answer: 21.9%
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> Harvard estimates the length of a tablet on display at the store to be 9 inches. Upon measuring the tablet, however, he realizes it measured 10 inches. What is the percent error in Harvard’s estimate?
- Estimated = 9 in
- Actual = 10 in
- Percent Error = |9 – 10| / 10 × 100% = 1/10 × 100% = 10.0%
✔ Answer: 10.0%
---
> Serena placed an order for a roll of botanical wallpaper on an online store. The store estimated the product would be delivered in 4 days. However, the package arrived after 70 days. What was the percent error in the estimate?
- Estimated = 4 days
- Actual = 70 days
- Percent Error = |4 – 70| / 70 × 100% = 66/70 × 100% ≈ 94.2857% → 94.3%
✔ Answer: 94.3%
---
> Mr. Billy is driving to New York to meet his sister. He estimates the distance to be 150 miles. However, he reaches his destination in 95 miles. Find the percent error in Mr. Billy’s estimate.
- Estimated = 150 miles
- Actual = 95 miles
- Percent Error = |150 – 95| / 95 × 100% = 55/95 × 100% ≈ 57.8947% → 57.9%
✔ Answer: 57.9%
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## ✔ Final Answers (Rounded to Nearest Tenth):
1. 25.0%
2. 21.9%
3. 10.0%
4. 94.3%
5. 57.9%
---
## 💡 Key Concept Reminder:
Percent error measures how inaccurate an estimate is compared to the true value. It’s always positive because we take the absolute value — direction (overestimate or underestimate) doesn’t matter, only the size of the error relative to the actual value.
Let me know if you’d like these explained visually or want to check your own answers!
Let’s solve each problem step by step using the percent error formula:
> Percent Error = |(Estimated Value – Actual Value)| / Actual Value × 100%
---
Problem 1:
> Lucy thought the 3 pounds of carrots she purchased would be enough for the week. However, the family ended up requiring 4 pounds of carrots that week. Calculate the percent error in Lucy’s estimate.
- Estimated = 3 lbs
- Actual = 4 lbs
- Percent Error = |3 – 4| / 4 × 100% = 1/4 × 100% = 25.0%
✔ Answer: 25.0%
---
Problem 2:
> Reddish estimated he would spend $25 on snacks and juices while at a cafe with his friends. He ended up spending $32. What was the percent error in Reddish’s estimate?
- Estimated = $25
- Actual = $32
- Percent Error = |25 – 32| / 32 × 100% = 7/32 × 100% ≈ 21.875% → 21.9%
✔ Answer: 21.9%
---
Problem 3:
> Harvard estimates the length of a tablet on display at the store to be 9 inches. Upon measuring the tablet, however, he realizes it measured 10 inches. What is the percent error in Harvard’s estimate?
- Estimated = 9 in
- Actual = 10 in
- Percent Error = |9 – 10| / 10 × 100% = 1/10 × 100% = 10.0%
✔ Answer: 10.0%
---
Problem 4:
> Serena placed an order for a roll of botanical wallpaper on an online store. The store estimated the product would be delivered in 4 days. However, the package arrived after 70 days. What was the percent error in the estimate?
- Estimated = 4 days
- Actual = 70 days
- Percent Error = |4 – 70| / 70 × 100% = 66/70 × 100% ≈ 94.2857% → 94.3%
✔ Answer: 94.3%
---
Problem 5:
> Mr. Billy is driving to New York to meet his sister. He estimates the distance to be 150 miles. However, he reaches his destination in 95 miles. Find the percent error in Mr. Billy’s estimate.
- Estimated = 150 miles
- Actual = 95 miles
- Percent Error = |150 – 95| / 95 × 100% = 55/95 × 100% ≈ 57.8947% → 57.9%
✔ Answer: 57.9%
---
## ✔ Final Answers (Rounded to Nearest Tenth):
1. 25.0%
2. 21.9%
3. 10.0%
4. 94.3%
5. 57.9%
---
## 💡 Key Concept Reminder:
Percent error measures how inaccurate an estimate is compared to the true value. It’s always positive because we take the absolute value — direction (overestimate or underestimate) doesn’t matter, only the size of the error relative to the actual value.
Let me know if you’d like these explained visually or want to check your own answers!
Parent Tip: Review the logic above to help your child master the concept of 7th grade percent word problems worksheet.