Estimating & Rounding Word Problems Worksheet For Grade 5

In this activity, you’ll practice rounding numbers and estimating answers to solve real-life math problems. These skills will help you make quick decisions and simplify calculations. Get ready to sharpen your estimation and rounding abilities!

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Estimating & Rounding Word Problems Worksheet

1. A train terminal has 9 platforms. Each platform has about 93 trains departing each day. There are about trains leaving the terminal every day.

- Solution: Each platform has about 93 trains departing each day. Round to 90, There are 9 platforms. Multiply the rounded number of trains per platform by the number of platforms: 90 x 9 = 810 trains

2. There are about 95,378 passengers taking the city train every day. The city train operates 10 hours everyday. There are about passengers every hour.

Solution: There are about 95,378 passengers taking the city train every day. Round this to 95,000 The city train operates for 10 hours each day Divide the rounded number of passengers by the number of hours: = 95,000/10 = 9,500 passengers/hour

3. The average number of passengers for the city train on a weekday is 379,568. On the weekend, the average number of passengers for the city train is only about a quarter of the passengers on a weekday. which is a quarter of the passengers on a weekday.

- Solution: The average number of passengers on a weekday is 379,568. Round to 380,000 To find a quarter of 380,000: = 380,000/4 = 95,000

4. The average fare on the city train is $2.50. If there were 89,125 passengers last Sunday and 349,124 passengers last Monday, the city train received about

- Solution: more last Monday. Last Sunday: 89,125 passengers. Round this to 90,000 Last Monday: 349,124 passengers. Round this to 350,000 50 The average fare is $2.50 For last Sunday: 90,000 passengers $2.50 $225,000 For last Monday: 350,000 passengers $2.50 $875,000 Subtract the revenue from last Sunday from the revenue from last Monday: = $875,000-$225,000 = $650,000

5. There are about 416 train delays every year. The average delay is 4.8 minutes. The total delay is about minutes in a year.

- Solution: The number of train delays is 416. Round this to 400 The average delay is 4.8 minutes. Round this to 5 minutes Multiply the rounded number of delays by the rounded average delay: 400 x 5=2,000 minutes

6. In January, 58,333 monthly passes were sold. In March, monthly passes were sold, which is 2,415 more than the number of monthly passes sold in March.

- Solution: January passes sold: 58,533. Round this to 58,000 Add 2,415 to the rounded number of passes sold in January: = 58,000 + 2,415 = 60,415

7. Each month, 1,235 new members join a fitness club. In a year, approximately members join the club.

- Solution: Each month, 1,235 new members join. Round 1,235 to 1,200 There are 12 months in a year Multiply the rounded number of new members per month by the number of months: 1,200 x 12 = 14,400 members

8. In 2020, the maximum number of service requests in a month was 5,678. The minimum number of service requests in a month was 432. The difference between the highest and lowest number of requests in a month is about requests.

- Solution: The maximum number of service requests was 5,678. Round 5,678 to 5,700 The minimum number of service requests was 432. Round 432 to 400 Subtract the rounded minimum number from the rounded maximum number: 5,700 – 400 = 5,300

9. In a small village with a population of 19,584, there are 71 healthcare centers. Each center caters to approximately of the village’s inhabitants.

- Solution: The village population is 19,584. Round this to 20,000 There are 71 healthcare centers. Round this to 70 Divide the rounded population by the rounded number of healthcare centers: = 20,000/70 = 286

10. This year, there are 29,672 teachers registered in the area. This is approximately fewer teachers than last year when there were 34,189 teachers.

- Solution: This year’s number of teachers is 29,672. Round this to 30,000 Last year’s number of teachers is 34,189. Round this to 34,000 Subtract this year’s rounded number from last year’s rounded number: 34,000 – 30,000 = 4,000

11. There are 6,482 engineers currently in training across the nation. Half of these engineers are approximately years old. are expected to complete their training within the next three

- Solution: There are 6,482 engineers currently in training. Round this number to 6,500 To find half of 6, 6,500/2 = 3,250

12. The total number of classrooms in all the schools in the district is 18,456. By the end of this year, the completion of 15 new schools will add 312 classrooms each. By the end of the year, there will be approximately classrooms available.

- Solution: The current total number of classrooms is 18,456. Round to 18,500 15 new schools will each add 312 classrooms First, find the total number of new classrooms: 15 312 = 4,680 classrooms Add the new classrooms to the rounded current number of classrooms: = 18,500 +4,680 = 23,180

13. The town has a total population of 34,596 pets. Half of these pets are dogs. There are approximately dogs in this town.

- Solution: The total population of pets is 34,596. Round 34,596 to 35,000 Half of 35,000 is: = 35,000/2 = 17,500 dogs

14. The population of one town is 45,892, while the neighboring town has a population of 30,756. The difference in population between the two towns is

- Solution: The population of the first town is 45,892. Round 45,892 to 46,000 The population of the neighboring town is 30,756. Round 30,756 to 31,000 Subtract the rounded population of the neighboring town from the rounded population of the first town:- = 46,000 – 31,000 = 15,000

15. In a village, there are 1,672 households. If each household has an average of three children attending middle school, and each school can enroll 180 students, the minimum number of middle schools required for the village is

- Solution: There are 1,672 households Each household has an average of 3 children attending middle school Total number of middle school students = 1,672 x 3 = 5,016 students The total number of students is 5,016 & this number is already fairly round. Each school can enroll 180 students. This number is already round. Divide the total number of students by the number of students each school can enroll: 5,016/180 = 27.87 The minimum number of 28.

16. In 2020, the population of a district was 78,546. In 2021, the population increased by 5,782. By the end of 2021, the population was approximately

- Solution: The population in 2020 was 78,546. Round 78,546 to 79,000 The increase in population was 5,782. Round 5,782 to 5,800 Add the rounded increase to the rounded population: = 79,000+ 5,800 = 84,800

17. There are approximately 620 apartments in this area. With an average household size of 4 members, the total number of residents in the area is about

- Solution: There are approximately 620 apartments. Round 620 to 600 The average household size is 4 members Multiply the rounded number of apartments by the average household size: 600 x 4=2,400 residents

18. In all 10 bus terminals combined, there are 15,500 busses registered to travel. Each bus has 2 drivers. There are about bus drivers.

- Solution: Number of buses = 15,500 Each bus has 2 drivers The total number of bus drivers can be calculated as: = Total Number of Drivers 15,500 × 2 = 31,000

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