Download free 5th grade math word problems worksheets focusing on estimating and rounding, provided by Mashup Math.
Free 5th Grade Math Word Problems Worksheets featuring a stack of printable sheets with estimation and rounding exercises from Mashup Math.
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Step-by-step solution for: 5th Grade Math Word Problems: Free Worksheets with Answers ...
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Show Answer Key & Explanations
Step-by-step solution for: 5th Grade Math Word Problems: Free Worksheets with Answers ...
The image you've shared is an advertisement for free 5th-grade math word problem worksheets from Mashup Math, focusing on estimating and rounding. It includes a preview of a worksheet with five word problems, each involving estimation and rounding skills.
Let’s solve each problem step by step, showing the reasoning and calculations:
---
> In Central City, there are 29,791 registered voters and 93 voting centers. Each voting center serves about ________ of the city's population.
> A) 200 B) 250 C) 300 D) 350
#### ✔ Solution:
We need to estimate how many voters each voting center serves.
- Total voters: 29,791
- Number of centers: 93
Estimate:
Round 29,791 ≈ 30,000
Round 93 ≈ 90
Now divide:
30,000 ÷ 90 = 333.3...
So, each center serves about 333 voters.
Closest option: D) 350
But let's check more accurately:
29,791 ÷ 93 ≈ 319.8 → rounds to 320
Still closest to 300? Wait — let's see options again:
A) 200
B) 250
C) 300
D) 350
319.8 is closer to 300 than 350.
✔ Answer: C) 300
---
> At last night's football game, there were 51,033 fans in attendance. At tonight's game, there are 44,118 fans in attendance. There are about _________ less fans at tonight's game than last night's game.
> A) 6,000 B) 7,000 C) 7,500 D) 7,900
#### ✔ Solution:
Find the difference:
51,033 – 44,118 = 6,915
Now estimate:
6,915 ≈ 7,000
✔ Answer: B) 7,000
---
> There are 7,213 applicants for the astronaut program. Only one half of the applicants, which is about __________, will be accepted into the program.
> A) 3,100 B) 3,250 C) 3,400 D) 3,500
#### ✔ Solution:
Half of 7,213 = 7,213 ÷ 2 = 3,606.5
Now round:
3,606.5 ≈ 3,600
But look at choices:
A) 3,100
B) 3,250
C) 3,400
D) 3,500
None are exactly 3,600 — but 3,500 is closest.
Wait! Let’s double-check:
Is it asking for *about* half?
7,213 ≈ 7,200
7,200 ÷ 2 = 3,600 → still closest to 3,500?
But 3,600 is actually closer to 3,600, not any of the listed options.
Wait — maybe we should consider rounding before dividing?
Try:
7,213 ≈ 7,200 → 7,200 ÷ 2 = 3,600 → still no match.
But 7,213 ≈ 7,000 → 7,000 ÷ 2 = 3,500
Ah! So if we estimate 7,213 ≈ 7,000, then half is 3,500
That’s what they’re looking for: estimation
✔ Answer: D) 3,500
---
> Last year, the largest number of pizza orders in one single month was 6,419. The smallest number of pizza orders in one single month was 783. The difference between the largest and smallest order is about...?
> A) 5,600 B) 5,700 C) 5,800 D) 6,000
#### ✔ Solution:
Difference:
6,419 – 783 = 5,636
Now estimate:
5,636 ≈ 5,600
✔ Answer: A) 5,600
(But note: if rounding to nearest hundred: 5,636 → 5,600)
Yes, that’s correct.
---
> Every month, a baker orders 1,182 pounds of flour. About how many pounds of flour does he order each year?
> A) 14,000 B) 14,250 C) 14,400 D) 14,600
#### ✔ Solution:
There are 12 months in a year.
So total flour per year:
1,182 × 12
Estimate:
1,182 ≈ 1,200
1,200 × 12 = 14,400
So, 14,400 is the estimated amount.
✔ Answer: C) 14,400
---
1. C) 300
2. B) 7,000
3. D) 3,500
4. A) 5,600
5. C) 14,400
---
These problems test estimation and rounding skills, common in 5th-grade math. The key is to:
- Round numbers to make calculations easier.
- Use mental math or simple arithmetic.
- Choose the best estimate among the answer choices.
This worksheet helps students practice real-world applications of math while building number sense.
If you'd like, I can generate a printable version of this worksheet or create similar problems!
Let’s solve each problem step by step, showing the reasoning and calculations:
---
🔹 Problem 1:
> In Central City, there are 29,791 registered voters and 93 voting centers. Each voting center serves about ________ of the city's population.
> A) 200 B) 250 C) 300 D) 350
#### ✔ Solution:
We need to estimate how many voters each voting center serves.
- Total voters: 29,791
- Number of centers: 93
Estimate:
Round 29,791 ≈ 30,000
Round 93 ≈ 90
Now divide:
30,000 ÷ 90 = 333.3...
So, each center serves about 333 voters.
Closest option: D) 350
But let's check more accurately:
29,791 ÷ 93 ≈ 319.8 → rounds to 320
Still closest to 300? Wait — let's see options again:
A) 200
B) 250
C) 300
D) 350
319.8 is closer to 300 than 350.
✔ Answer: C) 300
---
🔹 Problem 2:
> At last night's football game, there were 51,033 fans in attendance. At tonight's game, there are 44,118 fans in attendance. There are about _________ less fans at tonight's game than last night's game.
> A) 6,000 B) 7,000 C) 7,500 D) 7,900
#### ✔ Solution:
Find the difference:
51,033 – 44,118 = 6,915
Now estimate:
6,915 ≈ 7,000
✔ Answer: B) 7,000
---
🔹 Problem 3:
> There are 7,213 applicants for the astronaut program. Only one half of the applicants, which is about __________, will be accepted into the program.
> A) 3,100 B) 3,250 C) 3,400 D) 3,500
#### ✔ Solution:
Half of 7,213 = 7,213 ÷ 2 = 3,606.5
Now round:
3,606.5 ≈ 3,600
But look at choices:
A) 3,100
B) 3,250
C) 3,400
D) 3,500
None are exactly 3,600 — but 3,500 is closest.
Wait! Let’s double-check:
Is it asking for *about* half?
7,213 ≈ 7,200
7,200 ÷ 2 = 3,600 → still closest to 3,500?
But 3,600 is actually closer to 3,600, not any of the listed options.
Wait — maybe we should consider rounding before dividing?
Try:
7,213 ≈ 7,200 → 7,200 ÷ 2 = 3,600 → still no match.
But 7,213 ≈ 7,000 → 7,000 ÷ 2 = 3,500
Ah! So if we estimate 7,213 ≈ 7,000, then half is 3,500
That’s what they’re looking for: estimation
✔ Answer: D) 3,500
---
🔹 Problem 4:
> Last year, the largest number of pizza orders in one single month was 6,419. The smallest number of pizza orders in one single month was 783. The difference between the largest and smallest order is about...?
> A) 5,600 B) 5,700 C) 5,800 D) 6,000
#### ✔ Solution:
Difference:
6,419 – 783 = 5,636
Now estimate:
5,636 ≈ 5,600
✔ Answer: A) 5,600
(But note: if rounding to nearest hundred: 5,636 → 5,600)
Yes, that’s correct.
---
🔹 Problem 5:
> Every month, a baker orders 1,182 pounds of flour. About how many pounds of flour does he order each year?
> A) 14,000 B) 14,250 C) 14,400 D) 14,600
#### ✔ Solution:
There are 12 months in a year.
So total flour per year:
1,182 × 12
Estimate:
1,182 ≈ 1,200
1,200 × 12 = 14,400
So, 14,400 is the estimated amount.
✔ Answer: C) 14,400
---
✔ Final Answers:
1. C) 300
2. B) 7,000
3. D) 3,500
4. A) 5,600
5. C) 14,400
---
📝 Summary:
These problems test estimation and rounding skills, common in 5th-grade math. The key is to:
- Round numbers to make calculations easier.
- Use mental math or simple arithmetic.
- Choose the best estimate among the answer choices.
This worksheet helps students practice real-world applications of math while building number sense.
If you'd like, I can generate a printable version of this worksheet or create similar problems!
Parent Tip: Review the logic above to help your child master the concept of free math worksheet for 5th grade word problems.