Let's solve each of the rounding word problems step by step and explain the solutions.
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Problem 1:
"Some friends are playing video games after school. Michael has 756 points, Lillian has 742 points, Renee has 735 points. Who has 800 points, rounded to the nearest hundred?"
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Step-by-step:
We need to round each person’s score to the
nearest hundred and see who rounds to
800.
-
Michael: 756
→ The hundreds around 756 are 700 and 800.
→ 756 is closer to
800 than to 700 (since 756 - 700 = 56, and 800 - 756 = 44).
→ So, 756 rounds to
800.
-
Lillian: 742
→ 742 is between 700 and 800.
→ 742 - 700 = 42; 800 - 742 = 58 → closer to
700.
→ Rounds to
700.
-
Renee: 735
→ 735 - 700 = 35; 800 - 735 = 65 → closer to
700.
→ Rounds to
700.
✔ Answer: Michael has 800 points when rounded to the nearest hundred.
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Problem 2:
"Four students turned in their class projects on a famous science invention. Student A scored a 91 on the project. Student B scored an 89 on the project. Student C scored a 96 on the project and student D scored a 92. Rounded to the nearest 10, which student(s) scored about a 90 on the project?"
####
Step-by-step:
Round each score to the
nearest ten:
-
Student A: 91 → nearest ten is
90 (since 91 is closer to 90 than 100)
-
Student B: 89 → 89 is closer to
90 than 80
-
Student C: 96 → 96 is closer to
100 than 90
-
Student D: 92 → 92 is closer to
90 than 100
So:
- 91 → 90
- 89 → 90
- 96 → 100
- 92 → 90
✔ Answer: Students
A, B, and D scored about a 90 when rounded to the nearest 10.
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Problem 3:
"Melissa and her brother baked cookies for the local bake sale. They baked 56 chocolate chip cookies. Rounding to the nearest 10, about how many cookies did Melissa and her brother bake?"
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Step-by-step:
56 is between 50 and 60.
- 56 - 50 = 6
- 60 - 56 = 4 → so it's closer to
60
✔ Answer: About
60 cookies.
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Problem 4:
"Xavier collected baseball cards over the summer. After 8 weeks of collecting, Xavier had 377 cards. To the nearest 10, about how many cards did Xavier collect?"
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Step-by-step:
377 → look at the ones digit: 7
- Since 7 ≥ 5, we round up.
- 377 →
380
✔ Answer: About
380 cards.
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Problem 5:
"Andi read his book every day after school. By the end of the week, she read 392 pages. To the nearest 100, about how many pages did Andi read by the end of the week?"
####
Step-by-step:
392 → look at the tens digit: 9
- Since 9 ≥ 5, we round up.
- 392 →
400
✔ Answer: About
400 pages.
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✔ Final Answers:
1.
Michael
2.
Students A, B, and D
3.
60
4.
380
5.
400
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Parent Tip: Review the logic above to help your child master the concept of rounding word problems worksheet.
